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 0.05 margin of error and use a confidence level of 90%. 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) does not change the sample size.
B. No, using the additional survey information from part (b) only slightly reduces the sample size.
C. Yes, using the additional survey information from part (b) dramatically reduces the sample size.
D. Yes, using the additional survey information from part (b) only slightly increases the sample size.
a)
The following information is provided,
Significance Level, α = 0.1, Margin of Error, E = 0.05
The provided estimate of proportion p is, p = 0.5
The critical value for significance level, α = 0.1 is 1.64.
The following formula is used to compute the minimum sample size
required to estimate the population proportion p within the
required margin of error:
n >= p*(1-p)*(zc/E)^2
n = 0.5*(1 - 0.5)*(1.64/0.05)^2
n = 268.96
Therefore, the sample size needed to satisfy the condition n
>= 268.96 and it must be an integer number, we conclude that the
minimum required sample size is n = 269
Ans : Sample size, n = 269
b)
The following information is provided,
Significance Level, α = 0.1, Margin of Error, E = 0.05
The provided estimate of proportion p is, p = 0.45
The critical value for significance level, α = 0.1 is 1.64.
The following formula is used to compute the minimum sample size
required to estimate the population proportion p within the
required margin of error:
n >= p*(1-p)*(zc/E)^2
n = 0.45*(1 - 0.45)*(1.64/0.05)^2
n = 266.2704
Therefore, the sample size needed to satisfy the condition n
>= 266.2704 and it must be an integer number, we conclude that
the minimum required sample size is n = 266
Ans : Sample size, n = 266
c)
Option B)
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.
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 0.02 financial 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 55% of full-time students eam bachelor's...
In a study of government financial aid for college students, 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 0.02 margin of error and use a confidence level of 90%. Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage to be estimated. (Round up to the nearest integer.) b. Assume prior studies...
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 0.02 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. (Round up to the nearest integer.) b. Assume prior...
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 0.02 margin of error and use a confidence level of 95%. Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage to be estimated. (Round up to the nearest integer.) b. Assume prior...
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 0.02 margin of error and use a confidence level of 95%. 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.)
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 0.02 margin of error and use a confidence level of 95%. 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....
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 0.02 margin of error and use a confidence level of 99%. Complete parts (a) through (b) below. a. Assume that nothing is known about the percentage to be estimated. n = (Round up to the nearest integer.) b....
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 0.03 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=1844 (Round up to the nearest integer.) b. Assume...
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 0.02 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...
Please show TI 83 steps to figure this out. I've written wrong answers so you can see the full questions. 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 90%. Complete parts (a) through (c) below. a....