Question

In 1948, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adults surveyed, 385 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 341 indicated that they were total abstainers. Complete parts (a) and (b) below.

Answer 1

	x	n	p
1	385	1100	0.35
2	341	1100	0.31

Using Excel<data<megastat<hypothesis test<compare two independent proportions

Here is the output:

Hypothesis test for two independent proportions
	p1	p2	pc
	0.35	0.31	0.33	p (as decimal)
	385/1100	341/1100	726/2200	p (as fraction)
	385.	341.	726.	X
	1100	1100	2200	n
		0.04	difference
		0.	hypothesized difference
		0.02	std. error
		2.00	z
		.0460	p-value (two-tailed)
		0.0007	confidence interval 95.% lower
		0.0793	confidence interval 95.% upper
		0.0393	margin of error

Answers:

a) The proportion of the adults who took the 1942 survey who were total abstainers 0.35 and 0.31.

b) Option A,C,D

Hypothesis

Ho:p1=p2

Ha:p1 not equal p2

Test Statistic = 2.00

P-value= 0.460

If the population proportions are equal one would expect a sample difference proportion greater than the one observed in about 46 out of 100.

Conclusion: Option A

Since p-value > alpha(0.05). We fail to reject the null hypothesis.

Do not reject Ho: There is not sufficient evidence at alpha =0.05 level of significance.

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