1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hjlf
3 years ago
7

While her husband spent 2½ hours picking out new speakers, a statistician decided to determine whether the percent of men who en

joy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment. The population was Saturday afternoon shoppers. Out of 66 men, 23 said they enjoyed the activity. Eight of the 23 women surveyed claimed to enjoy the activity. Interpret the results of the survey. Conduct a hypothesis test at the 5% level. Let the subscript m = men and w = women.
State the distribution to use for the test. (Round your answers to four decimal places.)
Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

z=\frac{0.34848-0.34782}{\sqrt{0.34831(1-0.34831)(\frac{1}{66}+\frac{1}{23})}}=0.0057  

p_v =P(Z>0.0057)=0.4977  

The p value is a very high value and using the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the percent of men who enjoy shopping for electronic equipment is NOT significantly higher than the percent of women who enjoy shopping for electronic equipment.  

Step-by-step explanation:

1) Data given and notation  

X_{M}=23 represent the number of men that said they enjoyed the activity of Saturday afternoon shopping

X_{W}=8 represent the number of women that said they enjoyed the activity of Saturday afternoon shopping

n_{M}=66 sample of male selected

n_{W}=23 sample of demale selected

p_{M}=\frac{23}{66}=0.34848 represent the proportion of men that said they enjoyed the activity of Saturday afternoon shopping

p_{W}=\frac{8}{23}=0.34782 represent the proportion of women with red/green color blindness  

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment , the system of hypothesis would be:  

Null hypothesis:p_{M} \leq p_{W}  

Alternative hypothesis:p_{M} > p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{23+8}{66+23}=0.34831

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.34848-0.34782}{\sqrt{0.34831(1-0.34831)(\frac{1}{66}+\frac{1}{23})}}=0.0057  

4) Statistical decision

Using the significance level provided \alpha=0.05, the next step would be calculate the p value for this test.  

Since is a one side right tail test the p value would be:  

p_v =P(Z>0.0057)=0.4977  

So the p value is a very high value and using the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the percent of men who enjoy shopping for electronic equipment is NOT significantly higher than the percent of women who enjoy shopping for electronic equipment.  

You might be interested in
∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place?
melisa1 [442]

Answer:

jhhhhjjjjjjjjjjjjjjjjjj

a

Step-by-step explanation:

hhhhihhubtbyvyvyvtvtvtvtvrttjjjjjj

8 0
3 years ago
Determine the unknown angle measures in the figure.<br><br>HELP NOW!!! please
maw [93]

Answer:

m∠1=80°

m∠2=112°

m∠3=131°

m∠4=80°

m∠5=37°

Step-by-step explanation:

First you have to find m∠2

To do that find m∠6 (I created this angle shown in pic below)

Find m∠6 by using the sum of all ∠'s in a Δ theorem

m∠6=180°-(63°+49°)

m∠6=68°

Now you can find m∠2 with the supplementary ∠'s theorem

m∠2=180°-68°

m∠2=112°

Then you find m∠5 using the sum of all ∠'s in a Δ theorem

m∠5=180°-(112°+31°)

m∠5=37°

Now you can find m∠1

m∠1=180°-(63°+37°)

m∠1=180°-100°=80°

m∠4 can easily be found too now:

m∠4=180°-(63°+37°)

m∠4=80°

m∠3=180°-49°

m∠3=131°

8 0
3 years ago
Can a right triangle be formed using these squares
Alona [7]

The answer is yes. all 3 of those triangles have perfect square roots, being 5, 12, and 13 respectively. I hope this helps! Could I possibly get brainliest?

4 0
3 years ago
Read 2 more answers
Assume you purchased a car for $2,300 and sold it one week later for $3,100. How much did your net worth change, if at all?
Natali5045456 [20]

Answer:

My net wroth would have changed by $800

Step-by-step explanation:

Because $3,100 - $2,300 = $800

4 0
3 years ago
Someone help me with these questions pls-
Andrews [41]

When finding the reciprocal, it is basicaly flipping the numerator and denominator of the number. For instance, the reciporcal of 2 is 1/2, because the denominator of 2 would be 1. For an example more straight forward, the reciporacle of 3/5 is 5/3. This applied to the question goes as followed.

1. 3/5 is 5/3

2. 1/4 is 4

3. 1 is 1

Similarly when dividing fractions or an integer to a fraction, the fraction that is dividing the number turns into the reciprocal then you would multiply.

4.   3/(3/4) is 3*4/3= 4

5.   5/(3/4) is 5*(4/3)= 20/3

6.   8/(4/7) is 8*(7/3)= 56/3

7. 6/(3/5) is 6*(5/3)= 10

8. 2/(5/8) is 2*(8/5)= 16/5

9. 4/(8/9) is 4*(9/8)= 9/2

8 0
2 years ago
Read 2 more answers
Other questions:
  • Find the retail sale price if the original price is $65 discount by 12%
    10·2 answers
  • Amanda wants to move to a nelghborhood in Florida that has a dog restriction. Each home owner is allowed one dog with a welght l
    14·1 answer
  • What is the length of a diagonal of a square with a side length of 6?
    14·2 answers
  • Liam needs to borrow $25,200 to remodel his garage. He borrows the funds for 2 years at an interest rate of 9%. Find the maturit
    5·2 answers
  • What is the common difference for this arithmetic sequence? 54, 50, 46, 42, 38, A. 34 B. 4 C. 54 D. -4
    7·2 answers
  • Point slope equation that includes the points (5,-3) and a slope of -2
    7·2 answers
  • You want at least three bratwursts or hamburgers for each of your 20 guest
    6·2 answers
  • Please help will mark brainliest
    9·1 answer
  • What is the value of the constant in the equation that relates the height and width of this rectangle?
    8·1 answer
  • How to do!!!<br> please help
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!