Question

Consider the following data (Atlanta = population 1, Chicago = population 2): City Atlanta (1) Chicago...

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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