A study addressed the issue of whether pregnant women can correctly guess the gender of the baby. Among 110 recruited​ subjects, 53.6​% 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 0.01 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
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space...
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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,
53.6​%
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
0.01
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=0.536
H1​:
p>0.536
 
B.
H0​:
p=0.5
H1​:
p>0.5
 
C.
H0​:
p=0.536
H1​:
p≠0.536
 
D.
H0​:
p=0.5
H1​:
p≠0.5
 
E.
H0​:
p=0.536
H1​:
p<
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