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According to a Washington Post-ABC News poll, 331 of 502 randomly selected U.S.

ID: 3319335 • Letter: A

Question

According to a Washington Post-ABC News poll, 331 of 502 randomly selected U.S. adults interviewed said they would not be bothered if the National Security Agency collected records of personal telephone calls they had made.

Is there sufficient evidence to conclude that a majority of U.S. adults (more than 50%) feel this way? Use =0.01.

The hypotheses for this test are as follows:

H0: p=0.5 vs H0: p _______ 0.5

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>

not equals

Use CrunchIt to calculate the appropriate P-value for this test. Which of the following is the correct conclusion?

Reject the null hypothesis. It appears that the majority of U.S. adults feel this way.

Fail to reject the null hypothesis. It appears that the majority of U.S. adults do not feel this way

2.

According to a Washington Post-ABC News poll, 331 of 502 randomly selected U.S. adults interviewed said they would not be bothered if the National Security Agency collected records of personal telephone calls they had made.

Is there sufficient evidence to conclude that a majority of U.S. adults (more than 50%) feel this way? Use =0.01.

The hypotheses for this test are as follows:

H0: p=0.5 vs H0: p _______ 0.5

<

>

not equals

Use CrunchIt to calculate the appropriate P-value for this test. Which of the following is the correct conclusion?

Reject the null hypothesis. It appears that the majority of U.S. adults feel this way.

Fail to reject the null hypothesis. It appears that the majority of U.S. adults do not feel this way

Explanation / Answer

H0: p = 0.5 (null hypothesis)

H1: p > 0.5 (alternative hypothesis)

we know that SE = sqrt(p0(1-p0)/n)

= 0.02232

.p1=331/502 =0.65936255

test statistic, z = (p1-p0) / SE

= 7.141 ,

p value p(z>7.141)=0.000

p value lessthan alpha , reject null hypothesis.

Reject the null hypothesis. It appears that the majority of U.S. adults feel this way.

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