The question reads : A random sample of 140 adults residents in a particulartown

Question

The question reads : A random sample of 140 adults residents in a particulartown is selected. It is found that 28 of that sample smoke.What is the point estimate of the proportion of residents in thistown who smoke? What is the margin of error for a 99% confidence interval onthe true proportion of smokers in the town? The question reads : A random sample of 140 adults residents in a particulartown is selected. It is found that 28 of that sample smoke.What is the point estimate of the proportion of residents in thistown who smoke? What is the margin of error for a 99% confidence interval onthe true proportion of smokers in the town?

Explanation / Answer

Given that , Null hypothesis:H0: all the adults in town aresmokers                         H1: not all the adults in town are smokers                A random sample is X=140                no of candidates who smoke in that sample is given by                                         n=28 proportion of sample is given by                                       p=X/n=140/28=5 P=28/140=0.2 we know that , the test statistic for single propotion isgiven by                    Z=p-P/(PQ/n)                       Z=5-0.2/(0.2*0.8)/28=63.49 Zcal>Ztab hence we reject the null hypothesis

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