In August 2003, 56% of employed adults in the United States reported that basic mathematical skills were critical or very important to their job. The supervisor of the job placement office at a 4-year college thinks this percentage has increased due to increased use of technology in the workplace. He takes a random sample of 30 employed adults and finds that 21 of them feel that basic mathematical skills are critical or very important to their job.

Required:
Is there sufficient evidence to conclude that the percentage of employed adults who feel basic mathematical skills are critical or very important to their job has increased at the a = 0.05 level of significance?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.

It has mean μ= np =  30×0.56=16.8

standard deviation s = √npq

sqrt(30×0.56×(1-0.56)) = 2.71

So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.


Related Questions

Find 3 consecutive even integers such that 5 times the second is 82 more than the first .

Answers

Not 100% sure on this one.
Ti best of my understanding the answers are: 1st integers is 18, 2nd is 20, and 3rd is 22.
x is 1st integer
x+2 is 2nd integer
x+4 is 3rd integer
All even
5(x+2)=82+x
5x+10=82+x
5x-x=82-10
4x=72
x=18
1st is x=18
2nd is x+2=18+2=20
3rd is x+4=18+4=22
Good luck.

Please can anyone answer this question

Answers

Y=5p + 65
Not 100% sure tho

10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME

Answers

Answer:

x = 10

Step-by-step explanation:

I made a right triangle with a leg of 6 (7-1), base of 7, and hypotenuse of 'x' and then used the pythagorean theorem:

6² + 8² = x²

100 = x²

x = √100

x = 10

The answer for x would be 10

Which of the following would be a possible alternate hypothesis for this null hypothesis?
Null Hypothesis: A 32 oz bag of chips contains at least 32 oz of chips.
a - A 32 oz bag of chips contains exactly 32 oz of chips.
b - A 32 oz bag of chips contains less than 32 oz of chips.
c - A 32 oz bag of chips might contain cookies instead.
d - One time, my buddy ate a whole 32 oz bag of chips.

Answers

Answer:

B

Step-by-step explanation:

Makes the most since

What percent of the cars passed through between 2pm and 2:59 pm

Answers

Answer:

Can you actually do your own work

Step-by-step explanation:

Do it yourself

Sin 17° cos 13° + cos 17° sin 13°​

Answers

Answer:

.5

Step-by-step explanation:

Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)

sin(17+13) = 1/2

Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium. Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium. How much sodium is in 1 oz of chips and how much is in 1 cup of soda?

Answers

Answer:

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the amount of sodium in 1oz of chips.

y is the amount of sodium in 1 cup of soda.

Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium.

This means that [tex]4x + y = 600[/tex], also [tex]y = 600 - 4x[/tex]

Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.

This means that:

[tex]x + 4y = 300[/tex]

From the first equation, we have that [tex]y = 600 - 4x[/tex]. So

[tex]x + 4(600 - 4x) = 300[/tex]

[tex]x + 2400 - 16x = 300[/tex]

[tex]15x = 2100[/tex]

[tex]x = \frac{2100}{15}[/tex]

[tex]x = 140[/tex]

[tex]y = 600 - 4x = 600 - 4*140 = 40[/tex]

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

PLEASE ANSWER ASAP FOR BRIANLEST DUE IN 3 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 3rd one

Step-by-step explanation:

Please help me ASAP please

Answers

Answer:

Step-by-step explanation:

the first sounds like J/9=5, which in an equaiton could be written as 5=j/9.

Then to solve for j you can multiply both sides by 9. This would create j=45. Hopefully this is helpful!

Answer:

[tex]\frac{j}{9}[/tex] = 5 is the equation, j = 45 is the answer.

Step-by-step explanation:

J divided by 9 is 5.

[tex]\frac{j}{9}[/tex] = 5.

Multiply by 9 to find the answer.

j = 5 * 9

j = 45.

Which of the following represents the domain and range for the logarithmic
function below?
Help please

Answers

I’m guessing it’s c -,- I just know that logarithmic is opposite of exponential so the range would be domain and domain would be range

What is the amplitude of the function?

A)2


B)3


C)4


D)5

Answers

The answer is b sorry if it’s wrong

The amplitude of the function is the range A = 3

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the amplitude of the function be represented as A

Now , the value of A is

The range of the function = Amplitude x 2

And , Amplitude of the function A = | max - min | / 2

On simplifying , we get

A = | -4 - 2 | / 2

A = 6/2

A = 3

Therefore , the value of A is 3

Hence , the amplitude is A = 3

To learn more about domain and range click :

https://brainly.com/question/28135761

#SPJ2

Surface area is always measured in square units. True False

Answers

Answer:

The answer is True.

Answer:

True

Step-by-step explanation:

Area is always measured in square units, also including surface area

6 - 7x
a) constant binomial
b) linear binomial
c) quadratic binomial
d) cubic trinomial

Answers

Answer:linear binomial

Step-by-step explanation:

Answer:

B) Linear binomial.

Step-by-step explanation:

????


X = {1,3,5,7)
Y = {13,57}
Which of the following is the set XnY?

Answers

Answer:x is a letter in music.} 3. Determine whether each set is well-defined. If it is not well-defined, explain why, ... true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} ... Describe each of the following sets as either finite or infinite. ... 13 listened to heavy metal and alternative rock; 12 listened to rap and alternative rock;. or

x 2 - 2yZ = 7 with x = 2v + 1 and y = 2b + 1. These have solutions. (x, y; v, b) = (3, 1; 1,0), (5,3; 2,1), (13,9; 6,4),. (27,19; 13,9), (75,53; 37, 26), (157,111; 78, 55), .

Step-by-step explanation:

Doors for the small cabinets are 11.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?

Answers

Answer:So if you take the small cabinet door length which is 11.5 inches long and multiply by a factor of 2.3 you get the total length of the large cabinet doors, which is 26.45 inches

Step-by-step explanation:

I have this trigonometry worksheet, I just need help with questions from 18 to 28. thanks :)

Answers

18. sin29= 2/x
2/sin29=x
x=4.1
And I honestly have no idea how to do 28

Birth control pills have a theoretical annual efficacy of 99.5%, but a real-worls efficacy of only 95%. If a college student takes the pill for the four years she is in college, what is the probability that she will become pregnant at least once using the theoretical efficacy rate?

A. 0

B. 0.005

C. 0.020

D. 0.185

Answers

Answer:In my opinion B.0.005 is the correct answer

Step-by-step explanation:

hope it will help you

The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier

Answers

Answer:

0.00621

Step-by-step explanation:

We solve the above question using the

Z score formula. This is given as:

z = (x-μ)/σ/√n

where

x is the raw score = 12.20 or earlier

This means x ≤ 12.20

μ is the population mean = 13.20

σ is the population standard deviation = 2

n is the random number of samples = 25

z = 12.2 - 13.2/2/√25

z = -1/2/5

z = -1/0.4

z = -2.5

Probability value from Z-Table:

P(x≤ 12.2) = 0.0062097

Approximately = 0.00621

Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621

Look at the figure below.



Choose all the names that describe the figure.

A. square
B. rhombus
C. rectangle
D. trapezoid

E. quadrilateral
F.parallelogram

Answers

Rhombus is the answer I think good luck

Which of the following expressions is equivalent to (13 + 2) (13 - 2)?

a. 152 +112
b. 15² – 11²
c. 132 +22
d. 132 - 22

Answers

Answer:

d. 13^2 - 2^2

Step-by-step explanation:

The product of a sum and a difference is a difference of squares.

(13 + 2)(13 - 2) = 13^2 - 2^2

Answer: d. 13^2 - 2^2

Evaluate the expression [(18 ÷ 2 + 54 ÷ 9) × 2] × 2.
PLEASE EXPLAIN I KNOW ITS 60

Answers

Answer:

PEMDAS

Step-by-step explanation:

Answer:

[tex]=60[/tex]

Step-by-step explanation:

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex].

[tex]\left(18\div \:2+54\div \:9\right)\times \:2[/tex]

[tex]=15\times \:2[/tex]

[tex]=30[/tex]

[tex]=30\times \:2[/tex]

[tex]=60[/tex]

in how man ways can you arrange 12 books in a shelf

A:479,001,160

B:479,000,600

C:479,100,600

D:479,001,600​

Answers

B is the answer your welcome by the way

Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the Alternate hypothesis

Answers

Answer:

Alternative Hypothesis:H₁: μ ≠ 0.41

Step-by-step explanation:

Step(i):-

Given that the newscast reaches 41% of the viewing audience in the area

The mean of the Population = 0.41

Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station

Given that the mean of the sample = 0.36

Step(ii):-

Null hypothesis: The sample statistic does not differ significantly from the hypothetical parameter value.

Given data

Null hypothesis: H₀ : μ = 0.41

Alternative Hypothesis: Any hypothesis which is complementary to the Null hypothesis

Alternative Hypothesis:H₁: μ ≠ 0.41

Please help asap please help

Answers

Answer:

C. 40 + (-58) + 160

Step-by-step explanation:

It would be easier with C., the other options are already easy to calculate

40 + (-58) + 160 = 40 + 160 + (-58) = 200 - 58 =142

HELP ON HOMEWORK PLS

Answers

Answer:

∠LPN = 57°

Step-by-step explanation:

arc LMN = 360° - 102° - 144° = 114°

∠LPN = 114°/2 = 57°

40 pts please help!
Find the circumference and area of a circle with a diameter of 7cm. Round your answers to the hundredth.

a. C = 21.98cm and A = 38.47cm squared
b. C = 21.98cm and A = 153.86cm squared
c. C = 43.96cm and A = 38.47cm squared
d. C = 43.96cm and A = 153.86cm squared

Answers

Answer:

a.

Step-by-step explanation:

diameter 7cm

radius 3.5cm

area =πr²

=22/7* 3.5²

=38.47cm²

circumference=πd

=22/7* 7

=22cm

Answer:

a. C = 21.98cm and A = 38.47cm squared

Step-by-step explanation:

Diameter is twice the radius. Therefore radius, r, is 3.5cm.

Circumference = 2πr =2π(3.5)=7π=21.98cm

Area=πr²=π(3.5²)=12.25π=38.47cm²

What is the average rate of change for this exponential function for the
interval from x = 0 to x = 2?

A. -1.5
B. -4
C. 1.5
D. 4

Answers

Answer:

C i hope it helps

have a good night

The figure is the net for a rectangular prism. What is the surface area of the rectangular prism represented by the net?

Answers

Answer:

Solution given:

net surface area=9×(3+5+3+5)+2(3×5)=174in² is your answer.

L=5 B=3 H=9

TSA

2(LB+BH+LH)2(5×3+3×9+5×9)2(15+27+45)2(42+45)2(87)174in²

Lincoln is seeking a loan with a simple interest rate of 8% per year. If he wants to borrow $5000, then how much will he be charged in interest for 24 months? $8,000 $9,600 $1,250 $800​

Answers

Answer:

Lincoln will be charged $9,600.

Step-by-step explanation:

To find the answer we will first turn 8% into a decimal.  8 ÷ 100 = 0.08.  Now multiply 0.08 by $5,000 and we get $400.  then multiply $400 by 24 and we get $9,600.  Therefore, $9,600 is our answer.

If f(x) = 2x+3 and g(x) = x^2 + 1, find f(g(3)).

Answers

Answer:

23

Step-by-step explanation:

g(3) = 3²+1 = 10

f(g(3)) = 2(10) + 3

= 23

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