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Category > Statistics Posted 01 May 2017 My Price 7.00

Confidence level and sample size

Confidence level and sample size. Refer to Example 8.3 (page 423). Suppose that the university was interested in a 90% confidence interval with margin of error 0.03. Would the required sample size be smaller or larger than 1068 students? Verify this by performing the calculation.

Example 8.3

Planning a survey of students. A large university is interested in assessing student satisfaction with the overall campus environment. The plan is to distribute a questionnaire to an SRS of students, but before proceeding, the university wants to determine how many students to sample. The questionnaire asks about a student’s degree of satisfaction with various student services, each measured on a five-point scale. The university is interested in the proportion p of students who are satisfied (that is, who choose either “satisfied” or “very satisfied,” the two highest levels on the five-point scale)

The university wants to estimate p with 95% confidence and a margin of error less than or equal to 3%, or 0.03. For planning purposes, they are willing to use p* = 0.5. To find the sample size required, we calculate

Round up to get n = 1068. (Always round up. Rounding down would give a margin of error slightly greater than 0.03.)

 

 

Answers

Alpha Geek
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Status NEW Posted 01 May 2017 10:05 AM My Price 7.00

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