A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. She selects two random samples and the data are shown. Use

1

for the mean number of families with no children. At=

0.01

, is there a difference between the means? Use theP

-value method and tables.X

n

No children8.8

2.4

34

Children10.4

2.9

34

Send data to Excel

Part:0 / 5

0 of 5 Parts Complete

Part 1 of 5

State the hypotheses and identify the claim with the correct hypothesis.

H

0

:0

claim

H

1

:0

not claim

This hypothesis test is a

one-tailed

test.

Part:1 / 5

1 of 5 Parts Complete

Part 2 of 5

Compute the test value. Round all intermediate steps to four decimal places and always round

z

score values to two decimal places.=

z

Part:2 / 5

2 of 5 Parts Complete

Part 3 of 5

Compute the

P

-value. Round the answer to four decimal places.P

-value=

Part:3 / 5

3 of 5 Parts Complete

Part 4 of 5

Make the decision.

Reject

the null hypothesis.

Part:4 / 5

4 of 5 Parts Complete

Part 5 of 5

Summarize the results.

There is

(Choose one)

that the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities are different.