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Chapter 7, Problem 24BSC

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QUESTION:

Problem 24BSC

Job Interviews In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression.

a. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?

b. Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression.

c. Repeat part (b) using a confidence level of 80%.

d. Compare the confidence intervals from parts (b) and (c) and identify the interval that is wider. Why is it wider?

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QUESTION:

Problem 24BSC

Job Interviews In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression.

a. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?

b. Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression.

c. Repeat part (b) using a confidence level of 80%.

d. Compare the confidence intervals from parts (b) and (c) and identify the interval that is wider. Why is it wider?

ANSWER:

Solution 24BSC

a)

Compute the number of human resource professionals who appearance of a job applicant is most important for a good first impression.. That is we have to calculate the value of x.

We know that,

Therefore, the number of human resource professionals is 463.

b)

Construct the 99% confidence interval for the given data.

The 99% confidence interval for the population proportion p is given by,

First compute the value of the margin of error E, use 99% confidence level.

The margin of error is found by using the formula

 with ,

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