Consider the following data (Atlanta = population 1, Chicago = population 2):
City |
Atlanta (1) |
Chicago (2) |
Sample size |
100 individuals |
100 individuals |
Own a Toyota |
29 individuals |
33 individuals |
At population level, is the proportion of Toyota owners in Atlanta smaller than the proportion of Toyota owners in Chicago? Formulate the hypothesis.
A. Ho: p1-p2 = 0 . Ha: p1-p2≠0
B. Ho: p1-p2 ≥ 0 . Ha: p1-p2 < 0
C. Ho: p1-p2 ≤ 0 . Ha: p1-p2 > 0
D. Ho: p1-p2 < 0 . Ha: p1-p2 ≥ 0
What is the p-value?
What is your conclusion at 5% significance?
Obtain the 95% confidence interval for the difference between the two population proportions?
What is your conclusion based on the interval?
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