Philip Morris wishes to determine if there is a difference between the proportion of women and proportion of men who smoke cigarettes. Random samples of 110 women and 95 men reveal that 14 women and 7 men smoke cigarettes. Does the data indicate that the proportion of women who smoke cigarettes is higher than the proportion of men who do at α=.005?
For the hypothesis stated above, what is the test statistic (in terms of "Women" minus "Men")?
a. |
1.2618 |
|
b. |
1.3303 |
|
c. |
None of the answers is correct |
|
d. |
1.3092 |
|
e. |
1.2891 |
Group 1 denotes Women and Group 2 denoted Men
Hypothesis:
This corresponds to a one-tailed(right) Z-test for two population proportions.
Test Statistic:
Where
Option A
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