In: Statistics and Probability
Use the sample data below to test the hypotheses
Ho: p1 = p2 = p3
Ha : Not all population proportions are the same
Populations | |||
Response | 1 | 2 | 3 |
Yes | 150 | 150 | 93 |
No | 100 | 150 | 107 |
where pi is the population proportion of yes responses for population i. Using a .05 level of significance.
a. Compute the sample proportion for each population. Round your answers to two decimal places.
p1 = (___)
p2 = (___)
p3 = (___)
b. Use the multiple comparison procedure to determine which population proportions differ significantly. Use a 0.05 level of significance. Round pi, pj and difference to two decimal places. Round critical value to four decimal places.
Comparison | p i | p j | |Absolute| Difference | n i | n j | Critical Value |
Significant Diff > CV |
1 vs 2 | (__) | (__) | (___) | (__) | (__) | (__) | Yes/No |
1 vs 3 | (__) | (__) | (___) | (__) | (__) | (__) | Yes/No |
2 vs 3 | (__) | (__) | (___) | (__) | (__) | (__) | Yes/No |