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StatisticsQ&A LibraryDirections: Draw the normal curve and shade in the specific region. Show formulas used and the substitution. A member of the state legislature wants to determine what fraction of the voters in his district that favors a proposal refunding excess state sales tax revenue to the taxpayers. A random sample of 150 voters in his district shows 80 in his favor in favor. Let p be the population proportion. A. What is the margin of error (E) for this estimate with 95 confidence B.what sample size does he needs in order to state with 97% confidence that the sample is within .05Question

Asked Aug 6, 2019

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Directions: Draw the normal curve and shade in the specific region. Show formulas used and the substitution.

A member of the state legislature wants to determine what fraction of the voters in his district that favors a proposal refunding excess state sales tax revenue to the taxpayers. A random sample of 150 voters in his district shows 80 in his favor in favor. Let p be the population proportion.

A. What is the margin of error (E) for this estimate with 95 confidence

B.what sample size does he needs in order to state with 97% confidence that the sample is within .05

Step 1

**A.**

**Margin of error (E):**

The margin of error for proportion *p *is given by,

Step 2

**Computing the margin of error for population proportion:**

It was found that, 80 voters are in favour out of the 150 voters in his district. That is, *n=*150 and the sample proportion, *p-*hat* = *0.53 (=80/150). The confidence level is 95%. Therefore, the significance level, α = 0.05 and the *z* value corresponding to α/2 is 1.96. The margin of error for population proportion is given by:

Step 3

**B.**

**Sample Size:**

The formula for the sample size is a...

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