Compare the sample proportions and the confidence intervals

Reference no: EM131772544

Question: A university is contemplating switching from the quarter system to the semester system. The administration conducts a survey of a random sample of 400 students and finds that 240 of them prefer to remain on the quarter system.

a. Construct a 95% confidence interval for the true proportion of all students who would prefer to remain on the quarter system.

b. Does the interval you computed in part a provide convincing evidence that the majority of students prefer to remain on the quarter system? Explain.

c. Now suppose that only 50 students had been surveyed and that 30 said they preferred the quarter system. Compute a 95% confidence interval for the true proportion who prefer to remain on the quarter system. Does the interval provide convincing evidence that the majority of students prefer to remain on the quarter system?

d. Compare the sample proportions and the confidence intervals found in parts a and c. Use these results to discuss the role sample size plays in helping make decisions from sample data.

Reference no: EM131772544

Questions Cloud

Number of shares to which the dividend applies : The company has 400,000 shares authorized, 370,000 shares issued, and 20,000 shares in treasury stock. The number of shares to which the dividend applies is:

What the income tax consequences are to the investment : what the income tax consequences are to the investment advisor in making the settlement payment

Determine that the sample proportions is largest : Confirm that the standard deviation for sample proportions is largest when the proportion used to calculate it is .50. Do this by using other values.

Allowance for doubtful accounts before adjustment : The Allowance for Doubtful Accounts before adjustment has a debit balance of $3,100. The amount of the adjusting entry needed by Driver is:

Compare the sample proportions and the confidence intervals : Compare the sample proportions and the confidence intervals found in parts a and c. Use these results to discuss the role sample size plays in helping.

Basic financial statements to perform ratio analysis : 1) How to analyze a firm using the basic financial statements to perform ratio analysis

What is the portfolio standard deviation : Based on these estimates, what is the portfolio's standard deviation?

Confidence interval using the reported margin of error : Another question in the survey was, "Is it possible to disagree with the Pope and still be a good Catholic?" to which 89% of respondents said yes.

Verify the margin of error for a sample of size : U.S. News and World Report (19 December 1994, pp. 62-71) reported on a survey of 1000 American adults, conducted by telephone on December 2-4, 1994.

User Account

All Pages