You want to design a study to estimate the proportion of students on your campus who agree with the statement, "The student government is an effective organization for expressing the needs of students to the administration." You will use a 95% confidence interval and you would like the margin of error of the interval to be. 05 or less. Find the minimum sample size required.

Question

Carina

Social Studies

6 November, 14:52

You want to design a study to estimate the proportion of students on your campus who agree with the statement, "The student government is an effective organization for expressing the needs of students to the administration." You will use a 95% confidence interval and you would like the margin of error of the interval to be. 05 or less. Find the minimum sample size required.

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Answers (1)

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Rodolfo Gilbert · Answer 1

The correct answer is 384,16

Explanation:

To estimate the proportion of students on the campus we need to use statistics. Considering a 95% confidence interval with a error margin of. 05 and not knowing the population proportion P we will assume P = 0.5

So with this equation we can find the answer.

n = (1.96:0.05) ² · (0.5) · (0.5)

n = 1,536.64 · 0.5 · 0.5

n = 384,16