An institute conducted a clinical trial of its methods for gender selection. The results showed that 492 of 897 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.1 significance level to test the claim that the method increased the likelihood of having a boy. Find the null and alternative hypothesis. H0:H0: p>0.5p>0.5 p<0.5p<0.5 p=0.5p=0.5 p≠0.5p≠0.5 H1:H1: p>0.5p>0.5 p<0.5p<0.5 p=0.5p=0.5 p≠0.5p≠0.5 If we consider + to represent a boy, then how many of each sign is there? Positive Signs: Negative Signs: Total Signs: What is the p-value? (Round to three decimal places.) What is the conclusion about the null? Select an answer Support the null hypothesis. Fail to support the null hypothesis. Fail to reject the null hypothesis. Reject the null hypothesis. What is the conclusion about the claim? Select an answer The sample data contradicts the claim, so we cannot support the claim. Support the claim that the method increased the likelihood of having a boy. Reject the claim that the method increased the likelihood of having a boy. Fail to reject the claim that the method increased the likelihood of having a boy. There is insufficient evidence to support the claim that the method increased the likelihood of having a boy.
An institute conducted a clinical trial of its methods for gender selection. The results showed that 492 of 897 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.1 significance level to test the claim that the method increased the likelihood of having a boy.
Find the null and alternative hypothesis.
H0:H0:
- p>0.5p>0.5
- p<0.5p<0.5
- p=0.5p=0.5
- p≠0.5p≠0.5
H1:H1:
- p>0.5p>0.5
- p<0.5p<0.5
- p=0.5p=0.5
- p≠0.5p≠0.5
If we consider + to represent a boy, then how many of each sign is there?
Positive Signs:
Negative Signs:
Total Signs:
What is the p-value? (Round to three decimal places.)
What is the conclusion about the null? Select an answer Support the null hypothesis. Fail to support the null hypothesis. Fail to reject the null hypothesis. Reject the null hypothesis.
What is the conclusion about the claim? Select an answer
The sample data contradicts the claim, so we cannot support the claim.
Support the claim that the method increased the likelihood of having a boy.
Reject the claim that the method increased the likelihood of having a boy.
Fail to reject the claim that the method increased the likelihood of having a boy.
There is insufficient evidence to support the claim that the method increased the likelihood of having a boy.
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