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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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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