# Question: Refer to Problem 10 a Find the margin of error

Refer to Problem 10.

a. Find the margin of error for the estimate of p.

b. Obtain a sample size that will ensure a margin of error of at most 0.02 for a 95% confidence interval without making a guess for the observed value of pˆ.

c. Find a 95% confidence interval for p if, for a sample of the size determined in part (b), 58.7% of those surveyed say that they expect difficulty finding a job.

d. Determine the margin of error for the estimate in part (c), and compare it to the required margin of error specified in part (b).

e. Repeat parts (b)–(d) if you can reasonably presume that the percentage of those surveyed who say that they expect difficulty finding a job will be at least 56%.

f. Compare the results obtained in parts (b)–(d) with those obtained in part (e).

a. Find the margin of error for the estimate of p.

b. Obtain a sample size that will ensure a margin of error of at most 0.02 for a 95% confidence interval without making a guess for the observed value of pˆ.

c. Find a 95% confidence interval for p if, for a sample of the size determined in part (b), 58.7% of those surveyed say that they expect difficulty finding a job.

d. Determine the margin of error for the estimate in part (c), and compare it to the required margin of error specified in part (b).

e. Repeat parts (b)–(d) if you can reasonably presume that the percentage of those surveyed who say that they expect difficulty finding a job will be at least 56%.

f. Compare the results obtained in parts (b)–(d) with those obtained in part (e).

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