Answer:
D
Step-by-step explanation:
No, because the p-value of 0.08 is greater than the significance level of 0.05.
No, there isn't convincing statistical evidence at the significance level of a = 0.05 because the p-value of 0.08 > 0.05. (Option D)
How to find the corresponding value of z test statistic for a value of proportion random variable?Suppose the population proportion mean be denoted by [tex]\hat{p}[/tex]
and the population proportion random variable be denoted by p
Then, the z-test statistic's value for [tex]p = p_0[/tex] for sample of size n is specified by
[tex]z = \dfrac{\hat{p} - p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}[/tex]
For this case, we're specified that:
Students in a statistics class would like to investigate if more than 2/3 of the Earth is water.Sample size = 50Favorable cases = 38Level of significance = 0.05Thus, sample proportion is:
[tex]\hat{p} = \dfrac{38}{50} = 0.76[/tex]
(1) Null and Alternative Hypotheses
The following null and alternative hypotheses for the population proportion needs to be tested:
[tex]\begin{array}{ccl} H_0: p & \leq & 2/3\\ H_a: p & > & 2/3 \end{array}[/tex]
This corresponds to a right-tailed test, for which a z-test for one population proportion will be used.
(2) Rejection Region
Based on the information provided, the significance level is [tex]\alpha = 0.05[/tex], and the critical value for a right-tailed test is [tex]z_c = 1.64[/tex]
The rejection region for this right-tailed test is [tex]R = \{z: z > 1.645\}[/tex]
(3) Test Statistics
The z-statistic is computed as follows:
[tex]\begin{array}{ccl} z & = & \displaystyle \frac{\hat p - p_0}{\sqrt{ \displaystyle\frac{p_0(1-p_0)}{n}}} \\\\& = & \displaystyle \frac{0.76 - 2/3}{\sqrt{ \displaystyle\frac{ 2/3(1 -2/3)}{50}}} \\\\ & = & 1.401 \end{array}[/tex]
(4) Decision about the null hypothesis
Since it is observed that [tex]z = 1.401 \le z_c = 1.645[/tex], it is then concluded that the null hypothesis is not rejected.
Using the P-value approach: The p-value is p = 0.0806, and since [tex]p = 0.0806 \ge 0.05[/tex], it is concluded that the null hypothesis is not rejected.
(5) Conclusion
It is concluded that the null hypothesis H₀ is not rejected. Therefore, there is not enough evidence to claim that the population proportion pp is greater than 2/3, at the [tex]\alpha = 0.05[/tex] significance level.
Thus, there isn't convincing statistical evidence at the significance level of a = 0.05 because the p-value of 0.08 > 0.05. (Option D)
Learn more about z-test for one-population proportion test here:
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Do this fast plz I need help 10 points
Answer:
See below
Step-by-step explanation:
3/5 = 0.6 = 60%.
3/20 = 0.15 = 15%.
7/20 = 0.35 = 35%.
1/5 = 0.2 = 20%.
12/18 = 0.666... = 66.6%...
5/125 = 0.04 = 4%
1/50 = 0.02 = 2%.
Answer:
1. 3/5 is 0.6 as a decimal and 3/5 is 60%
2. 3/20 as a fraction and 15%
3. 35/100 which is simplified to 7/20 and is 0.35 as a decimal
4. 1/5 as a fraction and 20%
5. 0.666666667 as a decimal and is 66.6667%
6. 5/125 as a decimal is 0.04 and as a percent is 4 percent
7. is 1/50 as a fraction and 2%
please give brainliest, that was awfully a lot.
i hope this helps.
-v <3
Step-by-step explanation:
A triangular prism has a Volume of 375 cubic units. Find its Volume if all of
its dimensions were reduced to one-fifth their original length?
V=
cubic units.
If your employer pays for 68% of your premium what percent do you have
to pay? *
32%
83%
42%
100%
Answer:
32%
Step-by-step explanation:
The employer has paid 68% of you premium, so there is 100%-68% = 32% remaining
Round to the nearest tenth if necessary.
Find the distance between the two points.
(–1, –8), (–4, –4)
A)5
B)25
C)13
D)1
pls help will give brainliest.
Answer:
B) 25
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-1, -8)
Point (-4, -4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-4--1)^2+(-4--8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-3)^2+(4)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{9+16}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{25}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 5[/tex]solve this dude
√10² x (6^3) = ?
Can someone help me please like fast ?
A bank loaned out $15,000, part of it at the rate of 7% per year and the rest at 17% per year. If the interest received in one year totaled $2000, how much was loaned at 7%?
How much of the $15,000 did the bank loan out at 7%?
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Answer:
$5,500
Step-by-step explanation:
Let x represent the quantity loaned at 7%. Then the amount loaned at 17% is (15000-x), and the total interest is ...
0.07x +0.17(15000 -x) = 2000
-0.10x = -550 . . . . . . . . . collect terms, subtract 2550
x = -550/-0.10 = 5500 . . . . divide by the coefficient of x
The bank loaned $5,500 at 7%.
Which three steps are correct when solving this quadratic equation by completing the square?
x2 + 8x + 15 = 0
A)
x4 + 8x = -15
B)
x2 + 8x + 16 - 1
(x + 4)2 = 16
D)
(x + 4)2 = 1
E
x = -3 or x = 5
Answer:
E
Step-by-step explanation:
transferring the constant
making the coefficient of x^2 to be 1
then add the square of half the coefficient of x
take the square root of both sides
Expand and simplify (x+1)(x+3)
Answer:
x 2 − 4 x + 3
Step-by-step explanation:
Answer:
[tex](x + 1)(x + 3) \\ = ( {x}^{2} + 3x + x + 3) \\ = ( {x}^{2} + 4x + 3)[/tex]
find product 5 (-2/3)=
Therefore, the product of 5 and fraction (-2/3) is -10/3.
What is fraction?A fraction is a number that represents a part of a whole. It consists of two numbers separated by a horizontal or diagonal line, called a fraction bar. The number above the fraction bar is called the numerator, and the number below the fraction bar is called the denominator. The numerator represents the part of the whole that we are interested in, and the denominator represents the total number of equal parts into which the whole is divided. Fractions can be used to represent ratios, proportions, percentages, and many other mathematical concepts. They can be added, subtracted, multiplied, and divided using specific rules and procedures. Fractions can be proper (when the numerator is less than the denominator), improper (when the numerator is greater than or equal to the denominator), or mixed (when the fraction is represented as a whole number and a proper fraction).
Here,
To find the product of 5 and (-2/3), we simply multiply the two numbers:
5 x (-2/3) = -10/3
To know more about fraction,
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PLEASE help i neeed help asap im willing to give u 100 or 40 points if u answer this correctly so please help answer them all
what is 50.30 rounded to the nearest hundredth?
what is 50.20 rounded to the nearest hundredth?
what is 56.90 rounded to the nearest hundredth?
what is 49.50 rounded to the nearest hundredth?
what is 51.10 rounded to the nearest hundredth?
what is 30.00 rounded to the nearest hundredth?
Step-by-step explanation:
The hundredth place is the second number to the right of the decimal place (e.g., in ab.cd, where a, b, c, and d represent digits, the hundredth place is d).
When we round to the nearest hundredth, we remove all digits after the thousandth place. Then, if the thousandth place is 5 or greater, we remove it and add 0.01 (round up); if the thousandth place is 4 or lesser, we remove it (round down).
Thus:
50.30=50.30, as there is no thousandth place
50.20=50.20, same reasoning
56.90=56.90, same reasoning
49.50=49.50, same reasoning
51.10=51.10, same reasoning
30.00=30.00, same reasoning
add the fractions and simplify the 21/4 + 55/6 + 32/3
How do I find the right answer for b)
I got $2760.38 but the answer is $2760.37
Answer:
I guess u must not round it off
Step-by-step explanation:
Find the absolute value of -3.
Answer:
3
Step-by-step explanation:
If there is a negative sign in front of a number when trying to find absolute value, remove the negative sign. This is vice-versa if there is no negative sign. Have a Great Day and Hope this Helps :)
Answer: 3
Step-by-step explanation:
-3 is 3 spots away from the origin (0) when looking on a number line, and the absolute value is always the same number given(as a positive), even when it is negative
What is 72% of 83?
115.3
59.8
190
5100
Answer:
59.8
Step-by-step explanation:
A farmer had 305 horses and 454 cows. Which of the following is a good
estimation of how many horses and cows he had altogether?
600 horses and cows
700 horses and cows
650 horses and cows
750 horses and cows
850 horses and cows
A farmer had 305 horses and 454 cows. Which of the following is a good estimation of how many horses and cows he had altogether?
600 horses and cows
700 horses and cows
650 horses and cows
750 horses and cows
850 horses and cows
____________________Solution :-Given Information :-Number of horses ➢ 305Number of cows ➢ 454 To Find :-Which of the following is a good estimation of how many horses and cows he had altogether?
600 horses and cows
700 horses and cows
650 horses and cows
750 horses and cows
850 horses and cows
Calculation :-Here, We will simply add up the number of animals ( cows and horses ) and then we will round it off to it's nearest 'tens' places.
⇒ Total number of animals = number of horses + number of cows
Substituting the values given, We get,
⇒ Total number of animals = 305 + 454
⇒ Total number of animals = 759
Now, when we round it off to it's nearest 'tens' places, We get,
⇒ Round off 759 = 750
Since, We can see that, 4th option from the list of option given, is 750. Therefore 750 is the answer.
____________________Final Answer :-4th option :- 750 horses and cows is the correct answer.____________________Example $4
A school sells adult play tickets for $7 and student tickets for the play for $4. If the school sold
420 student tickets, how many adult tickets were sold if the total sales for the play were $3010.
Answer:
190 adult tickets.
Step-by-step explanation:
Well,
420 × 4 = 1,680
3,010 - 1,680 = 1330
1330 ÷ 7 = 190.
So 190 adult tickets to the play were sold.
You're welcome,
Wolfie
The Candle Factory is producing a new candle. It has a radius of 3 inches and a height of 5 inches. What is the
surface area of the candle? Use 3.14 for F. Round to the nearest whole cubic inch.
r= 3 in.
h = 5 in.
Answer:
[tex]A=150.72\ in^2[/tex]
Step-by-step explanation:
Given that,
The radius of candle, r = 3 inches
The height of the candle, h = 5 inches
We need to find the surface area of the candle. It is in the form of a cylinder whose surface area is given by :
[tex]A=2\pi r(r+h)[/tex]
Put all the values,
[tex]A=2\times 3.14\times 3\times (3+5)\\\\A=150.72\ in^2[/tex]
So, the surface area of the candle is equal to [tex]150.72\ in^2[/tex].
help meeeeeee pleassseeeeeee
Answer: triangular prism
Step-by-step explanation:
in the bag, there are certain number of toy- blocks with alphabets A,B,C and D written on them. The ratio of blocks A:B:C:D is 4:7:3:1. if the number of A blocks is 50 more than the number of C blocks, what is the number of B blocks?
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Answer:
350
Step-by-step explanation:
There are 4 ratio units of A blocks and 3 ratio units of C blocks, so 1 more ratio unit of A blocks than of C blocks. That 1 ratio unit corresponds to 50 blocks, since there are 50 more A blocks than C blocks.
There are 7 ratio units of B blocks, so the number of B blocks is ...
7×(50 blocks) = 350 blocks . . . . . number of B blocks
10$ minus 1.25$ minus 3.18$
Answer:
Hello! answer: $5.57
Step-by-step explanation:
10.00 - 1.25 = 8.75
8.75 - 3.18 = 5.57
Hope that helps
Answer and Step-by-step explanation:
10 dollars - 1.25 dollars - 3.18 dollars =
$8.75 - $3.18 = $5.57
#teamtrees #PAW (Plant And Water)
Please help me with these 3 (last one is optional if you want to do it) but please don’t give me link to anything or you will get reported
Answer:
puedes o
Step-by-step explanation:
What is the measure of angle B in degrees?
Answer: how do I delete my answer?
Step-by-step explanation.
Here's the solution,
=》 C + 112° = 180°
( they form linear pair )
=》 C = 180° - 112°
=》C = 68°
And we know, measure of exterior angle if a triangle is equal to the sum of measures of the opposite interior angles,
So,
=》B = C + 51°
=》B = 68° + 51°
=》B = 119°
let g(x) = -2x+1. what is g'(3)? what is g'(4)?
Given that the measure of ∠x is 149°, and the measure of ∠y is 110°, find the measure of ∠z.
Answer:
∠z is 79°
Step-by-step explanation:
I really need help with this I don’t know where to start :(
Answer: answer is -4 5/12
Step-by-step explanation:
Answer:
-4 - 5/12, or option 3.
Step-by-step explanation:
Change the denominator of each fraction to a common denominator. In this situation, the common denominator between the three fractions is 12.
- 7 2/3 = - 7 8/12
- 5 1/2 = - 5 6/12
8 3/4 = 8 9/12
Add them together.
-7 8/12 - 5 6/12 + 8 9/12 =
First, add the whole numbers together.
-7 - 5 + 8 - 8/12 - 6/12 + 9/12 =
-12 + 8 - 8/12 - 6/12 + 9/12 =
-4 - 8/12 - 6/12 + 9/12 =
Now, add the numerators of the fractions together.
-4 + (-8 -6 + 9)/12
-4 + (-5)/12 =
-4 - 5/12
The answer is -4 - 5/12, or option 3.
4x + 3 < 9 someone please explain
Answer:
4x + 3 < 9
4x < 9-3
4x/4 <6/4
x=3/2
Use a graphing tool to solve the equation below for x.
-3(-x) − 6 = -3x + 10
A. x ≈ -2.50
B. x ≈ 2.50
C. x ≈ -6.00
D. x ≈ -0.50
Answer:
C.
x ≈ 2.50
Step-by-step explanation:
The value of x in the given equation [tex]-3(-x) -6 = -3x+ 10[/tex] is 2.66
What is a line graph?A line graph is a type of chart used to show information that changes over time. We plot line graphs using several points connected by straight lines. We also call it a line chart. The line graph comprises of two axes known as 'x' axis and 'y' axis. The horizontal axis is known as the x-axis.
According to the given question.
We have a equation
[tex]-3(-x)-6 = -3x +10[/tex]
To draw a graph for the above equation we have to simplify the given equation.
Therefore,
[tex]-3(-x) -6 = -3x + 10[/tex]
⇒ [tex]+3x-6 = -3x + 10[/tex]
⇒[tex]3x+3x = 10 + 6[/tex]
⇒ [tex]6x = 16[/tex]
⇒ [tex]x = \frac{16}{6}[/tex]
⇒ [tex]x = 2.66[/tex]
After solving the above equation for x we have,
x = 2.66
⇒ A line which is parallel to y axis.
Therefore, we draw a line graph at a point x = 2.66 which is parallel to y axis.
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Which term of series1 +4+7+10+...is43
Answer:
a = 4
d = a2 - a1
d = 7 - 4
d = 3
an = 43
an = a + (n - 1)d
43 = 4 + (n - 1) 3
43 = 4 + 3n - 3
43 = 1 + 3n
43 - 1 = 3n
3n = 42
n = 42 ÷
n = 14
So, 14th term is 43
Please MARK AS BRAINLIEST
What is i86?
-i
-1
i
1
B. -i
I'm not sure abt it but that's the answer that showed up hope that helps
Answer:
-1
Step-by-step explanation: