a. Among the 510 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big personal grooming red flags? 234 (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 personal grooming red flags.
a. Among the 510 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big personal grooming red flags? 234 (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 personal grooming red flags.
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![In a poll of 510 human resource professionals, 45.7% said that body piercings and tattoos were big personal grooming red flags. Complete parts (a) through (d) below.
a. Among the 510 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big personal grooming red flags?
234 (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 personal 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?
O A. The 80% confidence interval is wider than the 99% confidence interval. A confidence interval must be wider in order to be more confident that it captures the true value of the population
proportion.
B. The 99% confidence interval is wider than the 80% confidence interval. A confidence interval must be wider in order to be less confident that it captures the true value of the population
proportion.
O C. The 99% confidence interval is wider than the 80% confidence interval. A confidence interval must be wider in order to be more confident that it captures the true value of the population
proportion.
D. The 80% confidence interval is wider than the 99% confidence interval. A confidence interval must be wider in order to be less confident that it captures the true value of the population
proportion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ab758cb-15be-4e0f-8978-1f629f990421%2F89dd341f-a65b-4eda-89bd-aa4a0e22b4f8%2Fdkonnl_processed.png&w=3840&q=75)
Transcribed Image Text:In a poll of 510 human resource professionals, 45.7% said that body piercings and tattoos were big personal grooming red flags. Complete parts (a) through (d) below.
a. Among the 510 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big personal grooming red flags?
234 (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 personal 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?
O A. The 80% confidence interval is wider than the 99% confidence interval. A confidence interval must be wider in order to be more confident that it captures the true value of the population
proportion.
B. The 99% confidence interval is wider than the 80% confidence interval. A confidence interval must be wider in order to be less confident that it captures the true value of the population
proportion.
O C. The 99% confidence interval is wider than the 80% confidence interval. A confidence interval must be wider in order to be more confident that it captures the true value of the population
proportion.
D. The 80% confidence interval is wider than the 99% confidence interval. A confidence interval must be wider in order to be less confident that it captures the true value of the population
proportion.
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