A random sample of 858 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 0.507. Do these sample results provide strong evidence against that​ belief?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Question
A random sample of
858
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
0.507.
Do these sample results provide strong evidence against that​ belief?
 
 
 
 

Question content area bottom

Part 1
Construct a
95​%
confidence interval estimate of the proportion of boys in all births.
 
enter your response here<p<enter your response here
​(Round to three decimal places as​ needed.)
Part 2
Do these sample results provide strong evidence against that​ belief?
 
 
A.
There is strong evidence against
0.507
as the value of the proportion of boys in all births because
0.507
is not contained within the
95%
confidence interval.
 
B.
There is not strong evidence against
0.507
as the value of the proportion of boys in all births because
0.507
is not contained within the
95%
confidence interval.
 
C.
There is strong evidence against
0.507
as the value of the proportion of boys in all births because
0.507
is contained within the
95%
confidence interval.
 
D.
There is not strong evidence against
0.507
as the value of the proportion of boys in all births because
0.507
is contained within the
95%
confidence interval.
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