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In: Statistics and Probability

In a poll of 515 human resource​ professionals, 50.1 ​% said that body piercings and tattoos...

In a poll of 515 human resource​ professionals, 50.1 ​% said that body piercings and tattoos were big grooming red flags. Complete parts​ (a) through​ (d) below. ​

a) Among the 515 human resource professionals who were​ surveyed, how many of them said that body piercings and tattoos were big grooming red​ flags? ​(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.

? < p < ? ​(Round to three decimal places as​ needed.)

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

? < 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.

A. 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.

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 than ?% confidence interval. As the confidence interval​ narrows, the probability that the confidence interval actually does contain the population 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.

Solutions

Expert Solution

D is the answer

orchestra answered 2 years ago
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