# Question: Refer to Problems 14 and 15 a Take half the length

Refer to Problems 14 and 15.

a. Take half the length of the confidence interval found in Problem 15(a) to obtain the margin of error for the estimate of the difference between the two population proportions. Interpret your result in words.

b. Solve part (a) by applying Formula 11.3 on page 466.

c. Obtain the common sample size that will ensure a margin of error of at most 0.03 for a 98% confidence interval without making a guess for the observed values of the sample proportions.

d. Find a 98% confidence interval for p1 − p2 if, for samples of the size determined in part (c), the sample proportions are 0.475 and 0.603, respectively.

e. Determine the margin of error for the estimate in part (d) and compare it to the required margin of error specified in part (c).

a. Take half the length of the confidence interval found in Problem 15(a) to obtain the margin of error for the estimate of the difference between the two population proportions. Interpret your result in words.

b. Solve part (a) by applying Formula 11.3 on page 466.

c. Obtain the common sample size that will ensure a margin of error of at most 0.03 for a 98% confidence interval without making a guess for the observed values of the sample proportions.

d. Find a 98% confidence interval for p1 − p2 if, for samples of the size determined in part (c), the sample proportions are 0.475 and 0.603, respectively.

e. Determine the margin of error for the estimate in part (d) and compare it to the required margin of error specified in part (c).

**View Solution:**## Answer to relevant Questions

In the New York Times article “A Common Police Vest Fails the Bulletproof Test,” E. Lichtblau reported on a U.S. Department of Justice study of 103 bulletproof vests containing a fiber known as Zylon. In ballistics ...a. Use the data from the Gallup poll to determine and interpret a 95% confidence interval for the percentage of all U.S. adults who think that it is the responsibility of the federal government to make sure all Americans ...Explain how you would use Table V to find the two χ2-values that divide the area under a χ2-curve into a middle 0.95 area and two outside 0.025 areas. Find these two χ2-values for a χ2-curve with df = 14. Distribution: 0.5, 0.3, 0.2; Observed frequencies: 45, 39, 16; Significance level = 0.01 We have provided a distribution and the observed frequencies of the values of a variable from a simple random sample of a population. ...The Japan Automobile Manufacturer's Association provides data on exported vehicles in Japan's Motor Vehicle Statistics, Total Exports by Year. In 2005, cars, trucks, and buses constituted 86.4%, 12.1%, and 1.5% of vehicle ...Post your question