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 63 subjects and placebo being more effective with 39 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 whether garlic or placebo is more effective, and the parameter is the population proportion, p, those for whom placebo is more effective than garlic. B. 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. OC. The relevant variable is the population proportion, p, those for whom garlic is more effective than placebo. The parameter i whether garlic or placebo is more effective. b. State hypotheses for a large-sample two sided test. OA. Ho: p<0.5 Ha: p=0.5 D. Ho: p=0.5 H₂: p=0.5 c. Find the test statistic value. Z= Check that sample size guidelines are satisfied for that test. Yes, the sample size was large enough to make the inference. O No, the sample size was not large enough to make the inference. OB. Ho:p>0.5 Ha: p=0.5 (Round to two decimal places as needed.) O E. Ho: p=0.5 Ha: p<0.5 OC. Ho: p=0.5 Ha: p>0.5 OF. Ho: p0.5 H₂: p=0.5

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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 63 subjects and placebo being more effective with 39 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 whether garlic or placebo is more effective, and the parameter is the population proportion, p, those for whom placebo is more effective than garlic.
B. 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.
OC. 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. State hypotheses for a large-sample two sided test.
OA. Ho: p<0.5
H₂: p=0.5
D. Ho: p=0.5
Ha: p0.5
c. Find the test statistic value.
Z=
Check that sample size guidelines are satisfied for that test.
Yes, the sample size was large enough to make the inference.
No, the sample size was not large enough to make the inference.
B. Ho: p>0.5
Ha: p=0.5
(Round to two decimal places as needed.)
OE. Ho: p=0.5
Ha: p<0.5
...
OC. Ho: p=0.5
Ha: p>0.5
OF. Ho: p *0.5
Ha: p=0.5
Transcribed Image Text: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 63 subjects and placebo being more effective with 39 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 whether garlic or placebo is more effective, and the parameter is the population proportion, p, those for whom placebo is more effective than garlic. B. 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. OC. 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. State hypotheses for a large-sample two sided test. OA. Ho: p<0.5 H₂: p=0.5 D. Ho: p=0.5 Ha: p0.5 c. Find the test statistic value. Z= Check that sample size guidelines are satisfied for that test. Yes, the sample size was large enough to make the inference. No, the sample size was not large enough to make the inference. B. Ho: p>0.5 Ha: p=0.5 (Round to two decimal places as needed.) OE. Ho: p=0.5 Ha: p<0.5 ... OC. Ho: p=0.5 Ha: p>0.5 OF. Ho: p *0.5 Ha: p=0.5
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