Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be? used, test the claim about the difference between two population proportions

p1 and p2 at the level of significance α. Assume that the samples are random and independent.?Claim: p1≠p2?, α=0.01 Sample? Statistics: x1=39?, n1=67?, x2=41?, n2= 77

The samples are random and independent. A normal sampling distribution can or cannot

be used because

n1p=

n1q=

n2p=

and

n2q=

?(Round to two decimal places as? needed.)Part 2State the null and alternative? hypotheses, if applicable.

A.

H0?:

p1≤p2

Ha?:

p1>p2

B.

H0?:p1 ≥ p2

Ha?: p1 <p 2

C.

H0?:

p1=p2

Ha?:

p1≠p2

D. The conditions to use a normal sampling distribution are not met.

Calculate the standardized test statistic for the difference

p1−p2?, if applicable. Select the correct choice below? and, if? necessary, fill in the answer box to complete your choice.

A. z=

?(Round to two decimal places as? needed.)

B. The conditions to use a normal sampling distribution are not met.

Part 4 Calculate the? P-value, if applicable. Select the correct choice below? and, if? necessary, fill in the answer box to complete your choice.

A. P=enter your response here

?(Round to three decimal places as? needed.)

B. The conditions to use a normal sampling distribution are not met.

State the conclusion of the hypothesis? test, if applicable. Choose the correct answer below.

A. Since P<α?, fail to reject H0. There is not enough evidence at the

α=0.01 level of significance to support the claim.

B. Since P>α?, reject H0. There is enough evidence at the α=0.01

level of significance to support the claim.

C. Since P<α?, reject H0. There is enough evidence at the α=0.01 level of significance to support the claim.

D.

Since P>α?, fail to reject H0. There is not enough evidence at the

α=0.01 level of significance to support the claim.

E. The conditions to use a normal sampling distribution are not met.

pur-new-sol

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