You plan to conduct a survey to find what proportion of the workforce has two or

Question

You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 98% confidence level and state that the estimated proportion must be within 3% of the population proportion. A pilot survey reveals that 7 of the 44 sampled hold two or more jobs. (Use z Distribution Table.)

How many in the workforce should be interviewed to meet your requirements? (Round the z-values to 2 decimal places. Round up your answer to the next whole number.)

rev: 11_20_2014_QC_58943, 09_28_2016_QC_CS-63347

You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 98% confidence level and state that the estimated proportion must be within 3% of the population proportion. A pilot survey reveals that 7 of the 44 sampled hold two or more jobs. (Use z Distribution Table.)

Explanation / Answer

standard deviation, = sqrt[ P * ( 1 - P ) / n ], where P = 7/44,

Confidence Interval formula is P +/- zcrit*, where the margin of error, M = zcrit*
For 98% CI, zcrit = 2.33
Therefore, 2.33*sqrt[ (7/44) * ( 1 - (7/44) ) / n ] = 0.03
n = 806.98 = 807

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