To be considered 18-karat (18K) gold, a piece of jewelry must be made of 75% pure gold. The higher the karats, the more valuable a piece of jewelry. A jewelry designer is purchasing a large quantity of 18K gold from a new supplier. To see whether the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with H0: The proportion of metal that is gold is 75%, and Ha: The proportion of metal that is gold is less than 75%. What are a Type I error and a Type II error in this context?

Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, and the designer concludes that it is made of less than 75% gold.
Type I error: The gold shipment truly is made of 75% gold, and the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.

Answers

Answer 1

Answer:

Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.

Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.

Step-by-step explanation:

Edge 2021

Answer 2

The type I error and type II errors for this condition are given by: Option A:

Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.

What are type I and type II errors?

The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).

The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).

For this case, the hypotheses laid down are:

Null hypothesis: H₀ : The proportion of metal that is gold is 75%, Alternate hypothesis: H₁ :  The proportion of metal that is gold is less than 75%.

Thus, we get:

Type I error = False positive = Falsely accusing null hypothesis to be incorrect = Concluding that the proportion of metal that is gold is less than 75% when actually the proportion of gold is 75%.

Type II error = False negative = Falsely accepting the null hypothesis = Concluding that the proportion of metal that is gold is 75% when actually the proportion of gold is less than 75%.

Therefore, the type I error and type II errors for this condition are given by: Option A:

Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.

Learn more about type I and type II errors here:

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Related Questions

Isabelle was curious if sample maximum was an unbiased estimator of population maximum. She started
with a large normally distributed population of test scores whose maximum was 99 points.
She then took a random sample of 6 tests and calculated the maximum of the sample. She replaced those
tests and repeated this process for a total of 40 trials. Her results are summarized in the dotplot below,
where each dot represents the maximum score from a sample of 6 tests.
HHH
HU
75
80
85
90
95
100
Sample maximum

Answers

Answer: sample maximum appears to be biased estimator since it consistently underestimated the population maximum

Answer: Sample maximum appears to be biased estimator since it consistently underestimated the population maximum.

Step-by-step explanation:

What is 5^5 equal to

Answers

Answer:

5^5 is equal to 3125

Step-by-step explanation:

5×5×5×5×5=3125 Hope this helps!

the answer is 10 alangan

Playland Park charges $25 admission plus $2 per ride. Funland Park charges $35 admission plus $1 per ride. For what number of rides is the total cost the same at both parks?

Answers

First make equations to keep you work straight
Playland day cost is 25+2r
Funland day cost is 35+1r
Now plug in the same number to both and see if the answer is equal I always start with easy ones:
5
25+10=35
35+5=40
10
25+20=45
35+10=45
*Bingo*
So 10 is the number of rides that makes the parks cost the same.
Good luck! Brainliest would be greatly appreciated.

I need these three and they shouldn’t be too hard.

Answers

Answer:

i dont know

Step-by-step explanation:

sorry my man my school is still just going into these kind of questions ):

Please help and will give brainliest

Answers

9514 1404 393

Answer:

  12 m³

Step-by-step explanation:

The bottom platform has dimensions 2m × 4m × 3m, so a volume of ...

  V = LWH

  V = (2 m)(4 m)(3 m) = 24 m³

The top platform has dimensions 2m × 3m × 2m, so a volume of ...

  V = (2 m)(3 m)(2 m) = 12 m³

The bottom platform has a larger volume by ...

  24 m³ -12 m³ = 12 m³

The bottom prism has a 12 m³ larger volume.

Answer:

the answer is 12m squared

Jack spent a mean of $4 in the last 5 days how much did he spend on the 4th day​

Answers

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Answer: 9$

Explanation:

5 + 3 + 1 + x + 2 = 20

Subtract all those numbers

x = 9

5 + 3 + 1 + 9 + 2 = 20

20 / 5 = 4

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Hillary is choosing a notebook. She can have a three-ring or two-ring binder in red, blue, green, or striped, with or without interior pockets. How many combinations of notebooks does she have? Solve step by step.

Answers

Answer:

Step-by-step explanation:

In 2018, there were about 32 million teenagers (aged 13-17) in the United States. They each sent
an average of 1200 text messages per month. About how many text messages did all of the
teenagers in the United States send each month? Express your answer using scientific notation.

Answers

Answer:

About 38,400,000,000 text

thirty eight billion + four hundred million

Step-by-step explanation:

make a number line and show all values of that x that x < -1 and x > 1

Answers

Hey I’d be happy to help!

1st you have to draw your blank number line (make it a decent length

<———————————————————>

Then you have to label your 0 that will separate all positive and negative numbers you put

On the right side of 0 your going to have positive numbers (1,2,3,4,5,6)

And on the left side of zero, it’s gonna be negative numbers.

Then the tricky part:

Your going to make a line from -1 to 1 on your number line. Then because your greater then and less than signs do not have an “or equal to” line... your gonna put an open circle around -1 and 1 to show that x<-1 and X>1

Answer:

Here is the answer on a number line

Step-by-step explanation:

Hope this helps!

Use the unit price of gasoline at both gas stations to determine which gas station charges more for gasoline (gallons). Be sure to include the unit prices in your answer. Show or explain your work.

Answers

Answer: Gas station P

Step-by-step explanation:

When you plot gas station M on the graph all the values are under the line meaning it gas at station M costs less than station G.

Gas station P charges more than gas station M.

What is unit rate?

A unit rate means a rate for one of something.

Given is a table and a graph,

When we compare each, we get,

Gas station P is charging $20 for 5 gallons, and gas station M charges $19 for same.

Hence, gas station P charges more than gas station M.

For more references on unit rate, click;

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#SPJ2

If a video game cost $60 and it's on sale for 10% off, how much is the discount?

Answers

Answer:

$6

Step-by-step explanation:

Percentages have a cool little trick where they can be reversed :) 10% of 60 is a little tough, but we can switch it to 60% of 10, which is much easier. 60% of 10 is 6, so the discount is $6

A circle has a diameter of 7 inches. Find the radius

Answers

Answer:

radius= 3.5 in

Step-by-step explanation:

Answer: 3.5

Step-by-step explanation:

The diameter is the length from one side of the circle to the other the radius is half that

HELPPPPPPPPPPP!! SMART People?

Answers

its $1.07 my bad XD :P

Step-by-step explanation:

What is 12 divided by 3/5

Answers

Answer:

20

Step-by-step explanation:

12 / 3/5

12 / 0.6

20

Answer:

12 divided by 3/5 = 20

Mario Works in a bakery He made 90 more loaves of bread on Saturday then he did on Sunday he made 70 more loaves of bread on Monday that he did on Sunday if he made 340 loaves off Bread on Monday how many lobes are friendly do you make on Saturday

Answers

Hi can u tell me whats going on here?

Giselle uses 2 ounces of pasta to make 2 over 3 of a serving of pasta. How many ounces of pasta are there per serving

Answers

12 I think I’m just guessing

expression that is equivalent to 7 3/4 + 3 5/6 - 1 3/4 that uses addition instead of subtraction.

Answers

Answer:

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6

Step-by-step explanation:

we do not want the minus sign.

7 3/4 + 1 3/4 - 3 5/6 = 7 3/4 + 1 3/4 - 3  -   5/6

7 3/4 + 1 3/4 - 3 5/6 =  7+  3/4 + 1 +  3/4 - 3  -  5/6

7 3/4 + 1 3/4 - 3 5/6 = 7 + 1 - 3 + 3/4 + 3/4 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 5 + 3/4 + 3/4 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6

Cup G has a diameter of 4 in. and a height of 8 in. Find the volume of Cup G.

Answers

Answer:

32pi

Radius=1/2 Diameter

radius=2

Area of circle= pi*radius^2= 4pi

4pi*8=32 pi

v=(3.14)(2^2)(8)
(3.14)(32)
v=100.48

Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92. Suppose a random sample of adults from Columbia is to be taken and used to construct a 95% confidence interval for the proportion of adults who are fully literate. What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less

Answers

Answer:

The minimum sample size which should be used is 315.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Previous data estimates the proportion of adults who are fully literate in Colombia to be 0.92.

This means that [tex]\pi = 0.92[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the MINIMUM sample size which should be used to construct this interval if the margin of error for the interval is to be 0.03 or less?

The minimum sample size that should be used is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.92*0.08}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.92*0.08}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.92*0.08}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.92*0.08}}{0.03})^2[/tex]

[tex]n = 314.2[/tex]

Rounding up

The minimum sample size which should be used is 315.

A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a
scatterplot and trend line based on the data.
Weight (lbs)
4
2
1
6
8 9 10
Number of Books
Which statement would be a reasonable prediction based on the scatterplot and trend line?
A box with 10 books should weigh about 2 pounds.
A box with 10 books should weigh about 4 pounds.
A box with 10 books should weigh about 6 pounds.
A box with 10 books should weigh about 12 pounds.

Answers

Answer: I am taking the test rn and I think its (C) Since the trend line is a positive correlation and slope, so then a good estimate would be 6

Step-by-step explanation: I may be wrong, but this is the best choice in my opinion

EDIT AFTER TEST: Yep C is correct! i got a 100 on the test

Answer:

The answer is C. I hope this helps you out. Have a wonderful safe day. <3<3<3

Step-by-step explanation:

.5% of what number is 15.8?

Answers

Answer:

316 should be your answer

Step-by-step explanation:

Answer:

3160

Step-by-step explanation:

.5% of what number is 15.8?

Let the unknown number be x.

0.5% * x = 15.8

0.005x = 15.8

x = 15.8/0.005

x = 3160

Six friends go to lunch and the total cost of lunch is $41.12. After using a $5 coupon to reduce the bill, the friends split the cost of lunch evenly. How much does each friend owe?

A $6.20


B $6.02


C $6.85

Answers

Answer:

6.02

Step-by-step explanation:

(41.12 - 5) / 6

= 6.02


For estimation purposes, the shape formed by the sectors is considered to be a parallelogram. Which statement is true?

A.The height is approximately r units, and the base length is approximately mr units.
B.The height is approximately r units, and the base length is approximately 2 units.
C.The height is approximately r2 units, and the base length is approximately it units.
D.The height is approximately 2r units, and the base length is approximately it units.

Answers

The answer is B) hope it helps!

Answer:

Step-by-step explanation: B

If (×+1 ) and(×+2) are factors of the expressionx^4+ax^2+b , find the value of and b, with these value of and factorize completely.​

Answers

Answer:

Step-by-step explanation:

(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)

Since x+1 is a factor, b+(a+1) = 0.

(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15

Since x+2 is a factor, -3a-15 = 0

a = -5

b = 4

x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)

Please let me know asap

Answers

Answer:

100

Step-by-step explanation:

Hello There!

∠4 and ∠8 are corresponding angles

corresponding angles are congruent so if ∠4 = 100 then ∠8 also equals 100

A group of 140 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table below. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color green?

Enter your answer as a fraction.


Male Female Total
Orange 12 50 62
Green 5 73 78
Total 17 123 140
Provide your answer below:

$$

Answers

Answer:

1/28

Step-by-step explanation:

The probability that a male student picks green is 5 / 17

The randomly selected participant is a male which means that you should be looking at the probability that a male picks green not that a student picks green.

The probability that a male picks green is:

= Number of males who prefer green / Number of males in total

There are 17 males in total and 5 of them prefer green. Probability that a male picks green is:

= 5 / 17

In conclusion, the probability that a male picks green is 5 / 17.

Find out more at https://brainly.com/question/14682217.

help plsssssssssssssssssssssssssssss

Answers

Answer:

c. x= 28°, y= 76°

Step-by-step explanation:

y= 180-104=76°

104= x+y (property of triangle, exterior angles is equal to the sum of opposite interior angles)

x=104-76= 28°

An expression is shown.
95-34
What is the value of the expression?

Answers

Answer:

61

Step-by-step explanation:

    95

  - 34

_______

   61

Please Help, I will give a brainleist to the right answer.

Answers

the perimeter is 28 feet long. you would add 7 four times because all sides on the square are equal

The perimeter is 28 feet long but all the sides are the same

How many 6 digit combinations are there using only numbers 1-9?

Answers

Answer:

With no digits repeated that would be 60,480

Step-by-step explanation:

9×8×7×6×5×4 = 60,480

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