4. A study considered whether daily consumption of garlic could reduce tick bites. The study used a crossover design where half of thesubjects used placebo first and garlic second and half the reverse. The authors described garlic being more effective with 58 subjects andplacebo being more effective with 47 subjects. Does this suggest a real difference between garlic and placebo, or are the resultsconsistent with random variation? Complete parts a through d below.a. Identify the relevant variable and parameter.OA. The relevant variable is the population proportion, p, those for whom garlic is more effectivethan placebo. The parameter is whether garlic or placebo is more effective.B. The relevant variable is whether garlic or placebo is more effective, and the parameter is thepopulation proportion, p, those for whom placebo is more effective than garlic.C. The relevant variable is whether garlic or placebo is more effective, and the parameter is thepopulation proportion, p, those for whom garlic is more effective than placebo.b. State hypotheses for a large-sample two sided test.O A. Ho: p0.5F. Ho: p=0.5Ha: p=0.5P-value=(Use the answer from part c to find this answer. Round to two decimal places as needed.)Interpret the P-value and state the conclusion in context. Use a significance level of 0.05.O A. The P-value is greater than the significance level; do not reject the null hypothesis. There issufficient evidence that the proportion who think garlic more effective than a placebo is greaterthan 0.5.B. The P-value is less than the significance level; reject the null hypothesis. There is sufficientevidence that the proportion who think garlic more effective than a placebo is greater than 0.5.C. The P-value is less than the significance level; reject the null hypothesis. There is not sufficientevidence that the proportion who think garlic more effective than a placebo is greater than 0.5.OD. The P-value is greater than the significance level; do not reject the null hypothesis. Thereis not sufficient evidence that the proportion who think garlic more effective than a placebo isgreater than 0.5.

Question

4. A study considered whether daily consumption of garlic could reduce tick bites. The study used a crossover design where half of thesubjects used placebo first and garlic second and half the reverse. The authors described garlic being more effective with 58 subjects andplacebo being more effective with 47 subjects. Does this suggest a real difference between garlic and placebo, or are the resultsconsistent with random variation? Complete parts a through d below.a. Identify the relevant variable and parameter.OA. The relevant variable is the population proportion, p, those for whom garlic is more effectivethan placebo. The parameter is whether garlic or placebo is more effective.B. The relevant variable is whether garlic or placebo is more effective, and the parameter is thepopulation proportion, p, those for whom placebo is more effective than garlic.C. The relevant variable is whether garlic or placebo is more effective, and the parameter is thepopulation proportion, p, those for whom garlic is more effective than placebo.b. State hypotheses for a large-sample two sided test.O A. Ho: p<0.5H₂: p=0.5Z=D. Ho: p0.5Ha: p=0.5OB. Ho: p=0.5H₂: p<0.5Check that sample size guidelines are satisfied for that test.No, the sample size was not large enough to make the inference.Yes, the sample size was large enough to make the inference.c. Find the test statistic value.d. Find the P-value.E. Ho: p > 0.5Ha: p=0.5(Round to two decimal places as needed.)C. Ho: p=0.5Ha: p>0.5F. Ho: p=0.5Ha: p=0.5P-value=(Use the answer from part c to find this answer. Round to two decimal places as needed.)Interpret the P-value and state the conclusion in context. Use a significance level of 0.05.O A. The P-value is greater than the significance level; do not reject the null hypothesis. There issufficient evidence that the proportion who think garlic more effective than a placebo is greaterthan 0.5.B. The P-value is less than the significance level; reject the null hypothesis. There is sufficientevidence that the proportion who think garlic more effective than a placebo is greater than 0.5.C. The P-value is less than the significance level; reject the null hypothesis. There is not sufficientevidence that the proportion who think garlic more effective than a placebo is greater than 0.5.OD. The P-value is greater than the significance level; do not reject the null hypothesis. Thereis not sufficient evidence that the proportion who think garlic more effective than a placebo isgreater than 0.5.

Accepted Answer

Hypothesis testing
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