To go along with part 1, What is the P-Value? And do we reject the null hypothes

Question

To go along with part 1,

What is the P-Value?

And do we reject the null hypothesis?

Childhood obesity: A national health survey weighed a sample of 550 boys aged 6-11 and found that 79 of them were overweight. They weighed a sample of 492 girls aged 6-11 and found that 75 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from 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 a 0.01 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0/4 Part 1 of4 State the appropriate null and alternate hypotheses. Ho 0" This is a (Choose one) ? test.

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 ? 0

Hypothesis test results:

Hence,

Hypotheses:

H0 : p1 = p2
HA : p1 ? p2

Two - tailed test

P - value = 0.6894

Do not reject Ho

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 79 550 75 492 -0.0088026608 0.022022625 -0.39970987 0.6894

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