A study addressed the issue of whether pregnant women can correctly guess the gender of the baby. Among 110 recruited​ subjects, 57.3​% of them correctly guessed the gender of the baby. Use these sample data to test the claim that the success rate of such guesses is no different than the​ 50% success rate expected with random chance guesses. Use a 0.05 significance level. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, and​ P-value, then state the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution. Identify the null and alternative hypotheses. Choose the correct answer below.

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A study addressed the issue of whether pregnant women can correctly guess the gender of the baby. Among
110
recruited​ subjects,
57.3​%
of them correctly guessed the gender of the baby. Use these sample data to test the claim that the success rate of such guesses is no different than the​ 50% success rate expected with random chance guesses. Use a
0.05
significance level. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, and​ P-value, then state the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution.
Identify the null and alternative hypotheses. Choose the correct answer below.
 
 
A.
H0​:
p=0.5
H1​:
p<0.5
 
B.
H0​:
p=0.5
H1​:
p≠0.5
Your answer is correct.
 
C.
H0​:
p=0.5
H1​:
p>0.5
 
D.
H0​:
p=0.573
H1​:
p>0.573
 
E.
H0​:
p=0.573
H1​:
p<0.573
 
F.
H0​:
p=0.573
H1​:
p≠0.573
The test statistic is
nothing.
​(Round to two decimal places as​ needed.)
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