A sociologist is interested in surveying workers in

Chapter 5, Problem 13E

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QUESTION:

A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who have changed jobs within the past year.

In the absence of preliminary data, how large a  sample must be taken to ensure that a 95% confi- dence interval will specify the proportion to within  \(\pm\)0.05? In a sample of 100 workers, 20 of them had  changed jobs within the past year. Find a 95% confidence interval for the proportion of workers who  have changed jobs within the past year. Based on the data in part (b), estimate the sample size needed so that the 95% confidence interval will specify the proportion to within \(\pm\)0.05.

Equation transcription:

Text transcription:

\pm

Questions & Answers

QUESTION:

A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who have changed jobs within the past year.

In the absence of preliminary data, how large a  sample must be taken to ensure that a 95% confi- dence interval will specify the proportion to within  \(\pm\)0.05? In a sample of 100 workers, 20 of them had  changed jobs within the past year. Find a 95% confidence interval for the proportion of workers who  have changed jobs within the past year. Based on the data in part (b), estimate the sample size needed so that the 95% confidence interval will specify the proportion to within \(\pm\)0.05.

Equation transcription:

Text transcription:

\pm

ANSWER:

Answer:

Step 1 of 4:

            Given the data states that, a sociologist interested surveying workers in computer-related jobs to estimate the proportion of such workers who have changed jobs within the past year.


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