In a random sample 100 people ages 20 to 24, 25% said they were smokers. In...

In a random sample 100 people ages 20 to 24, 25% said they were smokers. In a random sample of 300 people ages 25 to 29, 51 of them said they were smokers. Test the claim that the proportion of smokers in the two age groups is the same. Use a significance level of 0.05. Provide the following.
a. the null and alternative hypothesis
b. the test statistic
c. the p-value
d. the final conclusion in nontechnical terms
e. construct a confidence interval using the original information
f. does the confidence interval support the decision from part D? explain

Expert Solution

Let denotes the true proportion of smokers of ages 20 to 24 and 25 to 29 respectively.

a) - d)

e)

f) Since the confidence interval includes 0, so at 95% level of confidence, we can conclude that the proportion of smokers in the two age groups is the different.

orchestra answered 1 year ago

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