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A researcher wishes to test the effectiveness of a flu vaccination. 150 people are vaccinated, 180 people are vaccinated with a placebo, and 100 people

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A researcher wishes to test the effectiveness of a flu vaccination. 150 people are vaccinated, 180 people are vaccinated with a placebo, and 100 people are not vaccinated (in the control group). The number in each group who later caught the flu was recorded. The results are shown below. Vaccination Type Status Vaccinated Placebo Control Caught the Flu 8 19 21 Did not catch the 142 161 79 flu Answer the questions below, using the Minitab output on Moodle to help you. The assumptions were checked, and are all met.For the people who were vaccinated, calculate the distribution of Flu Status. Enter each answer as a percentage with one place after the decimal. Caught the Flu: % Did not catch the flu: % Here is the distribution of Flu Status for the other two categories of Vaccine Type: Vaccine Type: Placebo Control Caught the Flu 10.6% 21% Did not catch the flu 89.4% 79% The Minitab output file posted on Moodle shows the bar charts for each Vaccine Type. Determine which graph represents each group, then answer the following questions.\fChi-Square Test for Association: C1, Worksheet columns Rows: C1 Columns: Worksheet columns Vaccinated Placebo Control All Flu 8 19 21 48 16.74 20.09 11.16 4.5664 0.0595 8.6690 No Flu 142 161 79 382 133.26 159.91 88.84 0.5738 0.0075 1.0893 All 150 180 100 430 Cell Contents Count Expected count Contribution to Chi-square Chi-Square Test Chi-Square DF P-Value Pearson 14.965 0.001 IN Likelihood Ratio 14.299 2 0.001Which of the provided graphs is the correct one for those who were vaccinated? Select one: O a. Graph A O b. Graph B O c Graph C What title should be on the graph for those who were vaccinated? B IThe bars are labelled, but what additional label should be on the x-axis? 7 B I E What label should be on the y axis? 7 AY B I EBased on the graphs in the datafile, what can you say about the association between Flu Status and Vaccine Type in the sample? Select one: O a. No association O b. Moderate association O c. Strong association Explain, with specific reference to the graphs and in the context of the question, your answer to the previous question. 1 B I EWhat type of chi-square test is appropriate? Explain your answer in context. B E State the hypotheses in the context of the problem. 1 AY BIdentify the test statistic and p-value from the Minitab output. Xz = P-value = Briefly assess the strength of the evidence. B E

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