In a poll of 512 human resource professionals, 45.5% said that body pierc big personal grooming red flags. Complete parts (a) through (d) below. a. Among the 512 human resource professionals who were surveyed, how that body piercings and tattoos were big personal grooming red flags? (Round to the nearest integer as needed.) b. Construct a 99% confidence interval estimate of the proportion of all hu professionals believing that body piercings and tattoos are big personal gr |

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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10. In a poll of 512 human resource professionals, 45.5% said that body piercings and tattoos were
big personal grooming red flags. Complete parts (a) through (d) below.
a. Among the 512 human resource professionals who were surveyed, how many of them said
that body piercings and tattoos were big personal 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 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.
O 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.
OC. 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.
O 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.
Transcribed Image Text:10. In a poll of 512 human resource professionals, 45.5% said that body piercings and tattoos were big personal grooming red flags. Complete parts (a) through (d) below. a. Among the 512 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big personal 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 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. O 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. OC. 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. O 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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