Question

In a poll of 584 human resource​ professionals, ​36.6% said that body piercings and tattoos were big grooming red flags. Complete parts​ (a) through​ (d) below.

​a) Among the 584 human resource professionals who were​surveyed, how many of them said that body piercings and tattoos were big grooming red​ flags? Answer:___ ​(Round to the nearest integer as​ needed.) ​

b) Construct a​ 99% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big grooming red flags. Answer:__ < p < ___ ​(Round to three decimal places as​needed.) ​

c) Repeat part​ (b) using a confidence level of​ 80% Answer: ___ < p < ___ ​(Round to three decimal places as​needed.) ​

d) Compare the confidence intervals from parts​ (b) and​ (c) and identify the interval that is wider. Why is it​ wider? Select the correct choice below and fill in the answer boxes to complete your choice.

A. The __​% confidence interval is wider than the __​% confidence interval. As the confidence interval​ narrows, the probability that the confidence interval actually does contain the population parameter increases.

B. The __​% confidence interval is wider than the __​% confidence interval. As the confidence interval​ narrows, the probability that the confidence interval actually does contain the sample parameter increases.

C. The __% confidence interval is wider than the __% confidence interval. As the confidence interval​ widens, the probability that the confidence interval actually does contain the sample parameter increases.

D. The __% confidence interval is wider than the __% confidence interval. As the confidence interval widens, the probability that the confidence interval actually does contain the population parameter increases.

Answer 1

a) Among the 584 human resource professionals who were​surveyed, how many of them said that body piercings and tattoos were big grooming red​ flags? Answer:__214_

d)

. The _99_% confidence interval is wider than the _80_% confidence interval. As the confidence interval widens, the probability that the confidence interval actually does contain the population parameter increases.

Option D