In a poll of 558 human resource professionals, 36.4% said that body piercings and tattoos were big grooming red flags. Complete parts (a) through (d) below. a) Among the 558 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. O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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In a poll of 558 human resource professionals, 36.4% said that body piercings and tattoos were big grooming red flags. Complete parts (a) through (d) below.
a) Among the 558 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.
O<p<]
(Round to three decimal places as needed.)
c) Repeat part (b) using a confidence level of 80%.
D<p<O
(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.
O A. The
population parameter increases.
% confidence interval is wider than the
% confidence interval. As the confidence interval widens, the probability that the confidence interval actually does contain the
O B. The
% confidence interval is wider than the
% confidence interval. As the confidence interval widens, the probability that the confidence interval actually does contain the
Transcribed Image Text:In a poll of 558 human resource professionals, 36.4% said that body piercings and tattoos were big grooming red flags. Complete parts (a) through (d) below. a) Among the 558 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. O<p<] (Round to three decimal places as needed.) c) Repeat part (b) using a confidence level of 80%. D<p<O (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. O A. The population parameter increases. % confidence interval is wider than the % confidence interval. As the confidence interval widens, the probability that the confidence interval actually does contain the O B. The % confidence interval is wider than the % confidence interval. As the confidence interval widens, the probability that the confidence interval actually does contain the
In a poll of 558 human resource professionals, 36.4% said that body piercings and tattoos were big grooming red flags. Complete parts (a) through (d) below.
(Round to three decimal places as needed.)
c) Repeat part (b) using a confidence level of 80%.
O<p<O
(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.
O A. The
population parameter increases.
% confidence interval is wider than the
% confidence interval. As the confidence interval widens, the probability that the confidence interval actually does contain the
% confidence interval is wider than the
% confidence interval. As the confidence interval widens, the probability that the confidence interval actually does contain the
O B. The
sample parameter increases.
O C. The
sample parameter increases.
% confidence interval is wider than the
% confidence interval. As the confidence interval narrows, the probability that the confidence interval actually does contain the
O D. The % confidence interval is wider than the
population parameter increases.
% confidence interval. As the confidence interval narrows, the probability that the confidence interval actually does contain the
Transcribed Image Text:In a poll of 558 human resource professionals, 36.4% said that body piercings and tattoos were big grooming red flags. Complete parts (a) through (d) below. (Round to three decimal places as needed.) c) Repeat part (b) using a confidence level of 80%. O<p<O (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. O A. The population parameter increases. % confidence interval is wider than the % confidence interval. As the confidence interval widens, the probability that the confidence interval actually does contain the % confidence interval is wider than the % confidence interval. As the confidence interval widens, the probability that the confidence interval actually does contain the O B. The sample parameter increases. O C. The sample parameter increases. % confidence interval is wider than the % confidence interval. As the confidence interval narrows, the probability that the confidence interval actually does contain the O D. The % confidence interval is wider than the population parameter increases. % confidence interval. As the confidence interval narrows, the probability that the confidence interval actually does contain the
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