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An institute conducted a clinical trial of its methods for gender selection. The results showed that 168 of 304 babies born to parents using a

An institute conducted a clinical trial of its methods for gender selection. The results showed that 168 of 304 babies born to parents using a specificgender-selection method were boys. Use the sign test and a 0.01 significance level to test the claim that the method has no effect on the likelihood of a boy.

Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternativehypotheses?

A.

H0: p=0.5

H1: p0.5

B.

H0: p>0.5

H1: p=0.5

C.

H0: p=0.5

H1: p0.5

D.

H0: p=0.5

H1: p>0.5

Find the test statistic.

Test statistic=

(Round to two decimal places asneeded.)

Find theP-value.

P-value=

(Round to four decimal places asneeded.)

Determine the proper conclusion. Choose the correct answers below.

Since theP-value is

greater

less

than the significancelevel,

fail to reject

reject

the null hypothesis. There is

insufficient

sufficient

evidence that the method used is effective in increasing the likelihood of a boy.

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