Question

Childhood obesity: A national health survey weighed a sample of

530

boys aged

6

-

11

and found that

73

of them wereoverweight. They weighed a sample of

479

girls aged

6

-

11

and found that

62

of them were overweight. Can you conclude that the proportion of boys who are overweight is greater than the proportion of girls who are overweight? Let

p1

denote the proportion of boys who are overweight and let

p2

denote the proportion of girls who are overweight. Use the

=α0.10

level of significance and the P-value method with the TI-84 Plus calculator.

Part 1 of 4

Your Answer is correct

State the appropriate null and alternate hypotheses.

H0

:

=p1p2

H1

:

>p1p2

This is a ▼right-tailed test.

Part: 1 / 4

1 of 4 Parts Complete

Part 2 of 4

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

P-value =

Part 3/4

Reject or do not reject?

Answer 1

We need to conduct a right tail test

pvalue=P(t>0.3872)=0.3493

As pvalue>0.05, we fail to reject H0 and say there is insufficient evidence to prove the claim