Determine whether a normal sampling distribution can be used for the following sample statistics. If it can beused, test the claim about the difference between two population proportions p1 and p2 at the level of significance . Assume that the samples are random and independent.

Claim: p1p2, =0.01

SampleStatistics: x1=39, n1=74, x2=38, n2=84

Determine whether a normal sampling distribution can be used.

The samples are random and independent. A normal sampling distribution -----{can} or {can not}

be used because

n1p=

n1q=

n2p=

and n2q=

(Round to two decimal places asneeded.)

State the null and alternativehypotheses, if applicable.

A.

H0: p1p2

Ha: p1>p2

B.

H0: p1=p2

Ha: p1p2

Your answer is correct.

C.

H0: p1p2

Ha: p1

D.

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

Calculate the standardized test statistic for the difference p1p2, if applicable. Select the correct choice belowand, ifnecessary, fill in the answer choice.

A.

z=

(Round to two decimal places asneeded.)

B.

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

Calculate theP-value, if applicable. Select the correct choice belowand, ifnecessary, fill in the answer choice.

A.

P=

(Round to three decimal places asneeded.)

B.

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

Click to select and enter your answer(s) and then click Check Answer.

State the conclusion of the hypothesistest, if applicable. Choose the correct answer below.

A.

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

B.

Since P<, failtoreject H0. There isnot enough evidence at the =0.01 level of significance to support the claim.

C.

Since P>, failtoreject H0. There isnot enough evidence at the =0.01 level of significance to support the claim.

D.

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

E.

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