A random sample of 872births included 432 boys. Use a 0.10 significance level to test the claim that 51.4​% of newborn babies are boys. Do the results support the belief that 51.4​% of newborn babies are​ boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below.     A. H0​: p=0.514 H1​: p>0.514   B. H0​: p=0.514 H1​: p<0.514   C. H0​: p≠0.514 H1​: p=0.514   D. H0​: p=0.514 H1​: p≠0.514 Identify the test statistic for this hypothesis test.   The test statistic for this hypothesis test is   ​(Round to two decimal places as​ needed.) Identify the​ P-value for this hypothesis test.   The​ P-value for this hypothesis test is   ​(Round to three decimal places as​ needed.) Identify the conclusion for this hypothesis test.     A. Reject H0. There is sufficient evidence to warrant rejection of the claim that 51.4​% of newborn babies are boys.   B. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that 51.4​% of newborn babies are boys.   C. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that 51.4​% of newborn babies are boys.   D. Reject H0. There is not sufficient evidence to warrant rejection of the claim that 51.4​% of newborn babies are boys. Do the results support the belief that 51.4​% of newborn babies are​ boys?     A. The results support the belief that 51.4​% of newborn babies are boys because there was sufficient evidence to show that the belief is true.   B. The results do not support the belief that 51.4​% of newborn babies are boys because there was sufficient evidence to show that the belief is untrue.   C. The results support the belief that 51.4​% of newborn babies are boys because there was no evidence to show that the belief is untrue.   D. The results do not support the belief that 51.4​% of newborn babies are​ boys; the results merely show that there is not strong evidence against the rate of 51.4​%.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question
A random sample of 872births included 432 boys. Use a 0.10
significance level to test the claim that 51.4​% of newborn babies are boys. Do the results support the belief that 51.4​% of newborn babies are​ boys?
Identify the null and alternative hypotheses for this test. Choose the correct answer below.
 
 
A.
H0​:
p=0.514
H1​:
p>0.514
 
B.
H0​:
p=0.514
H1​:
p<0.514
 
C.
H0​:
p≠0.514
H1​:
p=0.514
 
D.
H0​:
p=0.514
H1​:
p≠0.514
Identify the test statistic for this hypothesis test.
 
The test statistic for this hypothesis test is
 
​(Round to two decimal places as​ needed.)
Identify the​ P-value for this hypothesis test.
 
The​ P-value for this hypothesis test is
 
​(Round to three decimal places as​ needed.)
Identify the conclusion for this hypothesis test.
 
 
A.
Reject
H0.
There
is
sufficient evidence to warrant rejection of the claim that
51.4​%
of newborn babies are boys.
 
B.
Fail to reject
H0.
There
is
sufficient evidence to warrant rejection of the claim that
51.4​%
of newborn babies are boys.
 
C.
Fail to reject
H0.
There
is not
sufficient evidence to warrant rejection of the claim that
51.4​%
of newborn babies are boys.
 
D.
Reject
H0.
There
is not
sufficient evidence to warrant rejection of the claim that
51.4​%
of newborn babies are boys.
Do the results support the belief that
51.4​%
of newborn babies are​ boys?
 
 
A.
The results support the belief that
51.4​%
of newborn babies are boys because there was sufficient evidence to show that the belief is true.
 
B.
The results do not support the belief that
51.4​%
of newborn babies are boys because there was sufficient evidence to show that the belief is untrue.
 
C.
The results support the belief that
51.4​%
of newborn babies are boys because there was no evidence to show that the belief is untrue.
 
D.
The results do not support the belief that
51.4​%
of newborn babies are​ boys; the results merely show that there is not strong evidence against the rate of
51.4​%.
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