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In one of the studies, it was found that, in a random sample of 261 married...

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Statistics

In one of the studies, it was found that, in a random sample of261 married persons, 135 were smokers while in a sample of 239non-married persons there were 131 smokers.

a. Find a 90% confidence interval for the true difference inproportion of smokers among the married and non-marriedpopulations.

b. Based on the above interval, can one conclude that there is asignificant difference between the proportions of smokers in thetwo populations? Justify your answer

c. Do a formal hypothesis testing to test whether the twopopulations proportions are significantly different. Use ? = 0.10and a p-value method. Set up the appropriate null and alternativehypotheses. Is the conclusion same as the one in part(b)?

Answer & Explanation Solved by verified expert
4.0 Ratings (436 Votes)
an1 2611 135261 05172n2 2392 131239 05481 010From Table critical values of Z 164Confidence Interval 0104 0043SoAnswer is 0104 0043bSince the confidence interval 0104 0043    See Answer
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