A random sample of 818 births included 435 boys. Use a 0.05 significance level to test the claim that 50.6​% of newborn babies are boys. Do the results support the belief that 50.6​% of newborn babies are​ boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below.     A. H0​: p=0.506 H1​: p>0.506   B. H0​: p≠0.506 H1​: p=0.506   C. H0​: p=0.506 H1​: p≠0.506   D. H0​: p=0.506 H1​: p<0.506   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. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that 50.6​% of newborn babies are boys.   B.Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that 50.6​% of newborn babies are boys.   C. Reject H0. There is sufficient evidence to warrant rejection of the claim that 50.6​% of newborn babies are boys.   D. Reject H0. There is not sufficient evidence to warrant rejection of the claim that 50.6​% of newborn babies are boys. Do the results support the belief that 50.6​% of newborn babies are​ boys?     A. The results do not support the belief that 50.6​%of newborn babies are boys because there was sufficient evidence to show that the belief is untrue.   B. The results support the belief that 50.6​%of newborn babies are boys because there was sufficient evidence to show that the belief is true.   C. The results support the belief that 50.6​%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 50.6​% of newborn babies are​ boys; the results merely show that there is not strong evidence against the rate of 50.6​%.

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A random sample of 818 births included 435 boys. Use a 0.05 significance level to test the claim that 50.6​% of newborn babies are boys. Do the results support the belief that 50.6​% of newborn babies are​ boys?

Identify the null and alternative hypotheses for this test. Choose the correct answer below.
 
 
A.
H0​: p=0.506
H1​: p>0.506
 
B. H0​: p≠0.506
H1​: p=0.506
 
C. H0​: p=0.506
H1​: p≠0.506
 
D. H0​: p=0.506
H1​: p<0.506
 
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. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that 50.6​% of newborn babies are boys.
 
B.Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that 50.6​% of newborn babies are boys.
 
C. Reject H0. There is sufficient evidence to warrant rejection of the claim that
50.6​% of newborn babies are boys.
 
D. Reject H0. There is not sufficient evidence to warrant rejection of the claim that 50.6​% of newborn babies are boys. Do the results support the belief that
50.6​% of newborn babies are​ boys?
 
 
A. The results do not support the belief that 50.6​%of newborn babies are boys because there was sufficient evidence to show that the belief is untrue.
 
B. The results support the belief that 50.6​%of newborn babies are boys because there was sufficient evidence to show that the belief is true.
 
C. The results support the belief that 50.6​%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 50.6​% of newborn babies are​ boys; the results merely show that there is not strong evidence against the rate of 50.6​%.
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