Question

Time magazine reported the result of a telephone poll of 800 adult Americans. The question posed of the Americans who were surveyed was: "Should the federal tax on cigarettes be raised to pay for health care reform?" The results of the survey were: Smokers: n = 605, 351 said yes. non smokers: n=195, 41 said yes Is there sufficient evidence at the α = 0.05 level, say, to conclude that the two populations — smokers and non-smokers — differ significantly with respect to their opinions?

Answer 1

a).i am denoting smokers by 1 and non smokers by 2.

given data and necessary calculations are:-

the pooled proportion be:-

hypothesis:-

( claim)

the test statistic be:-

the p value is :-

[ in any blank cell of excel type NORMSDIST(8.99)]

decision:-

p value = 0.0000 < 0.05 (alpha)

so, we reject the null hypothesis

conclusion:-

there is sufficient evidence to conclude that the two populations smokers and non-smokers differ significantly with respect to their opinions at 0.05 level of significance.

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