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:
=
, where
the
and the units are
Ha:
, and the test is
Step 2. The significance level α= %
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.
Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity
Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity
Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity
Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity Your answer should include exactly 3 decimal places.
Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity Your answer should include exactly 3 decimal places.
Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity Your answer should include exactly 3 decimal places.
Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity Your answer should include exactly 3 decimal places.