A random sample of 861 births in a state included 429 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.506. Do these sample results provide strong evidence against that belief? Construct a 95% confidence interval estimate of the proportion of boys in all births.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A random sample of 861 births in a state included 429 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that
among all births, the proportion of boys is 0.506. Do these sample results provide strong evidence against that belief?
Construct a 95% confidence interval estimate of the proportion of boys in all births.
<p< (Round to three decimal places as needed.)
Do these sample results provide strong evidence against that belief?
OA. There is strong evidence against 0.506 as the value of the proportion of boys in all births because 0.506 is contained within the 95% confidence interval.
OB. There is strong evidence against 0.506 as the value of the proportion of boys in all births because 0.506 is not contained within the 95% confidence interval.
OC. There is not strong evidence against 0.506 as the value of the proportion of boys in all births because 0.506 is not contained within the 95% confidence
interval.
O D. There is not strong evidence against 0.506 as the value of the proportion of boys in all births because 0.506 is contained within the 95% confidence interval.
Transcribed Image Text:A random sample of 861 births in a state included 429 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.506. Do these sample results provide strong evidence against that belief? Construct a 95% confidence interval estimate of the proportion of boys in all births. <p< (Round to three decimal places as needed.) Do these sample results provide strong evidence against that belief? OA. There is strong evidence against 0.506 as the value of the proportion of boys in all births because 0.506 is contained within the 95% confidence interval. OB. There is strong evidence against 0.506 as the value of the proportion of boys in all births because 0.506 is not contained within the 95% confidence interval. OC. There is not strong evidence against 0.506 as the value of the proportion of boys in all births because 0.506 is not contained within the 95% confidence interval. O D. There is not strong evidence against 0.506 as the value of the proportion of boys in all births because 0.506 is contained within the 95% confidence interval.
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