1:20 Done a mathxl.com Homework: Week 3 Homework Score: 0 of 3 pts 6.3.31 Sppose

Question

1:20 Done a mathxl.com Homework: Week 3 Homework Score: 0 of 3 pts 6.3.31 Spposeg at 79% of all tax returns lead to a retnd Arandom sace of 100t."-wake , . What Pemeen of the dstrb tion of the sample pr ofmbni.ingto b. What is the variance of the sample proportion? a What is the standard enor ofl the sample proportion? d. What is the probability that the sample proportion exceeds 0 857 Click the icon to view the standand nomal uble a. The mean of the distitution of the sample proportion i Round to two decimal places as needed)

Explanation / Answer

Ans:

Given that

n=100,p=0.75

Sampling distribution of sample proportions:

a)mean=0.75

b)Variance=0.75*(1-0.75)/100=0.001875

c)standard error=sqrt(0.75*(1-0.75)/100)=0.0433

d)

z=(0.85-0.75)/0.0433=2.309

P(z>2.31)=0.0105

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