A national health survey weighed a sample of 200 boys aged 6-11 and found that 29 of them were overweight. They weighed a sample of 220 girls aged 6-11 and found that 34 of them were overweight. Can you conclude that the proportion of overweight kids aged 6-11 among boys is different from the proportion of overweight kids aged 6-11 among girls? Use level of significance 1%.

Procedure:

Assumptions: (select everything that applies)

Step 1. Hypotheses Set-Up:

H0:\displaystyle {H}_{{0}}: = , where the and the units are
 Ha:\displaystyle {H}_{{a}}:  , and the test is

Step 2. The significance level α=\displaystyle \alpha= %

Step 3. Compute the value of the test statistic: = (Round the answer to 3 decimal places)

Step 4. Testing Procedure: (Round the answers to 3 decimal places)

CVA PVA
Provide the critical value(s) for the Rejection Region: Compute the P-value of the test statistic:
left CV is and right CV is P-value is

Step 5. Decision:

CVA PVA
Is the test statistic in the rejection region? Is the P-value less than the significance level?

Conclusion:

Step 6. Interpretation:

At 1% significance level we have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.