a. Identify the relevant variable and parameter. A. The relevant variable is the population proportion, p, those for whom garlic is more effective than 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 the population 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 the population proportion, p, those for whom garlic is more effective than placebo. b. State hypotheses for a large-sample two sided test. A. Ho: p<0.5 B. Ho: p=0.5 Ha: p=0.5 Ha: p<0.5 Z= D. Ho: p=0.5 H₂: p=0.5 E. Ho: p > 0.5 Ha: p=0.5 Check 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. (Round to two decimal places as needed.) C. Ho: p=0.5 Ha:p>0.5 F. Ho: p=0.5 Ha: p=0.5

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4. A study considered whether daily consumption of garlic could reduce tick bites. The study used a crossover design where half of the
subjects used placebo first and garlic second and half the reverse. The authors described garlic being more effective with 58 subjects and
placebo being more effective with 47 subjects. Does this suggest a real difference between garlic and placebo, or are the results
consistent 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 effective
than 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 the
population 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 the
population 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<0.5
H₂: p=0.5
Z=
D. Ho: p0.5
Ha: p=0.5
OB. Ho: p=0.5
H₂: p<0.5
Check 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 > 0.5
Ha: p=0.5
(Round to two decimal places as needed.)
C. Ho: p=0.5
Ha: p>0.5
F. Ho: p=0.5
Ha: p=0.5
P-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 is
sufficient evidence that the proportion who think garlic more effective than a placebo is greater
than 0.5.
B. The P-value is less than the significance level; reject the null hypothesis. There is sufficient
evidence 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 sufficient
evidence 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. There
is not sufficient evidence that the proportion who think garlic more effective than a placebo is
greater than 0.5.
Transcribed Image Text:4. A study considered whether daily consumption of garlic could reduce tick bites. The study used a crossover design where half of the subjects used placebo first and garlic second and half the reverse. The authors described garlic being more effective with 58 subjects and placebo being more effective with 47 subjects. Does this suggest a real difference between garlic and placebo, or are the results consistent 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 effective than 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 the population 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 the population 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<0.5 H₂: p=0.5 Z= D. Ho: p0.5 Ha: p=0.5 OB. Ho: p=0.5 H₂: p<0.5 Check 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 > 0.5 Ha: p=0.5 (Round to two decimal places as needed.) C. Ho: p=0.5 Ha: p>0.5 F. Ho: p=0.5 Ha: p=0.5 P-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 is sufficient evidence that the proportion who think garlic more effective than a placebo is greater than 0.5. B. The P-value is less than the significance level; reject the null hypothesis. There is sufficient evidence 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 sufficient evidence 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. There is not sufficient evidence that the proportion who think garlic more effective than a placebo is greater than 0.5.
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