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

.

Assume that the samples are random and independent.

Claim:

p1p2,

=0.01

Sample Statistics:

x1=39,

n1=67,

x2=41,

n2=77

Question content area bottom

Part 1

Determine whether a normal sampling distribution can be used.

The samples are random and independent. A normal sampling distribution

cannot or

can

be used because

n1p=?

n1q=?

n2p=?

and

n2q=?

(Round to two decimal places as needed.)

Part 2

State the null and alternative hypotheses, if applicable.

A.

H0:

p1p2

Ha:

p1>p2

B.

H0:

p1p2

Ha:

p1

C.

H0:

p1=p2

Ha:

p1p2

D.

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

Part 3

Calculate the standardized test statistic for the difference

p1p2,

if applicable. Select the correct choice below and, if necessary.

A.

z=enter your response here

(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.

A.

P=

(Round to three decimal places as needed.)

B.

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

Part 5

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

A.

Since

P<,

failtoreject

H0.

There

isnot

enough evidence at the

=0.01

level of significance to support the claim.

B.

Since

P>,

reject

H0.

There

is

enough evidence at the

=0.01

level of significance to support the claim.

C.

Since

P<,

reject

H0.

There

is

enough evidence at the

=0.01

level of significance to support the claim.

D.

Since

P>,

failtoreject

H0.

There

isnot

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.