Question

I asked ten random adults that lived in St. Pete, FL how many times a week they have an alcoholic beverage. Here is what I got 2,6,2,3,1,0,1,2,1,and 1. Then I asked 10 other random adults that live in Tampa, Fl, and here are the results 3,1,1,5,2,1,2,1,1, and 3. with a significance level of 0.05.

I need to know the

Ho:p1-P2

Ha: p1-p2

Sample Diff.

Std. Err

Z-stat

P-value

please help

Answer 1

This is not a proportion test. This is an independent samples t-test. But since you want the z-statistic, I would use an independent sample z-test.

The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 ≠ µ2

Group 1	Group 2
1.90	2.00	mean
1.66	1.33	std. dev.
10	10	n
	-0.100	difference (Group 1 - Group 2)
	0.674	standard error of difference
	0	hypothesized difference
	-0.15	z
	.8821	p-value (two-tailed)

The p-value is 0.8821.

Since the p-value (0.8821) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that µ1 ≠ µ2.