Question

In a poll of 580 human resource​ professionals, 40.0​% said that body piercings and tattoos were big grooming red flags. Complete parts​ (a) through​ (d) below

a) Among the 580 human resource professionals who were​ surveyed, how many of them said that body piercings and tattoos were big grooming red​ flags?

​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. nothingless than p less than<p<nothing

​(Round to three decimal places as​ needed.)

​c) Repeat part​ (b) using a confidence level of​ 80%. nothingless than p less than<p<nothing

​(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 nothing​ _% confidence interval is wider than the nothing​ _% confidence interval. As the confidence interval​ narrows, the probability that the confidence interval actually does contain the population parameter increases.

B. The nothing​ _% confidence interval is wider than the nothing​ _% confidence interval. As the confidence interval​ widens, the probability that the confidence interval actually does contain the sample parameter increases.

C.The nothing​ _% confidence interval is wider than the nothing​ _% confidence interval. As the confidence interval​ widens, the probability that the confidence interval actually does contain the population parameter increases.

D. The nothing​ _% confidence interval is wider than the nothing​ _% confidence interval. As the confidence interval​ narrows, the probability that the confidence interval actually does contain the sample parameter increases.

Answer 1