In a study of government financial aid for college​ students, it becomes necessary to estimate the percentage of​ full-time college students who earn a​ bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.04 margin of error and use a confidence level of 99​%. Complete parts​ (a) through​ (c) below.

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In a study of government financial aid for college​ students, it becomes necessary to estimate the percentage of​ full-time college students who earn a​ bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a

0.04

margin of error and use a confidence level of

99​%.

Complete parts​ (a) through​ (c) below.

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.04 margin of error and use a confidence level of 99%. Complete parts (a) through (c) below.

a. Assume that nothing is known about the percentage to be estimated.

\[ n = \_\_ \]

(Round up to the nearest integer.)

b. Assume prior studies have shown that about 45% of full-time students earn bachelor's degrees in four years or less.

\[ n = \_\_ \]

(Round up to the nearest integer.)

c. Does the added knowledge in part (b) have much of an effect on the sample size?

- A. No, using the additional survey information from part (b) only slightly reduces the sample size.
- B. Yes, using the additional survey information from part (b) only slightly increases the sample size.
- C. Yes, using the additional survey information from part (b) dramatically reduces the sample size.
- D. No, using the additional survey information from part (b) does not change the sample size.
Transcribed Image Text:In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.04 margin of error and use a confidence level of 99%. Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage to be estimated. \[ n = \_\_ \] (Round up to the nearest integer.) b. Assume prior studies have shown that about 45% of full-time students earn bachelor's degrees in four years or less. \[ n = \_\_ \] (Round up to the nearest integer.) c. Does the added knowledge in part (b) have much of an effect on the sample size? - A. No, using the additional survey information from part (b) only slightly reduces the sample size. - B. Yes, using the additional survey information from part (b) only slightly increases the sample size. - C. Yes, using the additional survey information from part (b) dramatically reduces the sample size. - D. No, using the additional survey information from part (b) does not change the sample size.
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