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We tested to see if the true percentage of caffeine drinkers who smoke is greater than...

We tested to see if the true percentage of caffeine drinkers who smoke is greater than than non-caffeine drinkers who smoke at the alpha = 0.05 level. Assume we found a p-value of 0.002189. Which below would be an appropriate conclusion and interpretation? A. With an alpha of 0.05, and a p-value of 0.002189, we reject the null and state we have sufficient evidence to support that the true proportion of caffeine drinkers who smoke is greater than that of non-caffeine drinking smokers. B. With an alpha of 0.05, and a p-value of 0.002189, we fail to reject the null and state we have insufficient evidence to support that the true proportion of caffeine drinkers who smoke is greater than that of non-caffeine drinking smokers. C. With an alpha of 0.05, and a p-value of 0.002189, we reject the null and state we have sufficient evidence to support that the true proportion of caffeine drinkers who smoke is less than that of non-caffeine drinking smokers. D. With an alpha of 0.05, and a p-value of 0.002189, we reject the null and state we have sufficient evidence to support that the true average of caffeine drinkers who smoke is greater than that of non-caffeine drinking smokers.

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Answer #1

Given that we tested to see if the true percentage of caffeine drinkers who smoke is greater than non-caffeine drinkers who smoke at the alpha = 0.05 level.

Hence the Hypotheses are;l

Hence it will be an Upper tailed test.

Rejection region:

Given the significance level as 0.05 reject Ho if P-value is less than 0.05.

Now the P-value is computed as 0.002189, thus the correct conclusion would be:

Since the P-value is less than 0.05 hence we reject the null hypothesis.

A. With an alpha of 0.05 and a p-value of 0.002189, we reject the null and state we have sufficient evidence to support that the true proportion of caffeine drinkers who smoke is greater than that of non-caffeine drinking smokers.

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