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Using StatCrunch, calculate the chi-square statistic and degrees of freedom for the following set of data for 300 people:Group A Group B Group C TotalHad flu shot 20 30 32 82Didn’t have flu shot 80 70 68 218Total 100 100 100 300Answer: Chi-square statistic is ?2 =4.162Is the value of the chi-square statistically significant at the 0.05 level? No, because the p-value (0.1248) is greater than ? = 0.052. Write a paragraph summarizing the results of the analysis in Exercise 1.Since the chi-square statistic value is not statistically significant at the 0.05 level We do not have enough evidence to reject the claim that Groups and condition (having or not flu) are independent3. Using StatCrunch, calculate the chi-square statistic and degrees of freedom for the following set of data for 180 people undergoing a knee replacement treatment with a drug supplement:Treatment with drug X Treatment without Drug X TotalHad > 8 wk rehab 18 32 50 Had < 8 wk rehab 70 60 130Total 88 92 180Answer: Chi-square statistic is ?2 =4.603Is the value of the chi-square statistically significant at the 0.05 level? Yes, because the p-value (0.0319) is greater than ? = 0.054. Write a paragraph summarizing the results of the analysis in Exercise 3.Since the chi-square statistic value is statistically significant at the 0.05 level we have enough evidence to reject the claim that treatment and time of rehabilitation are independent.5. Given each of the following circumstances, determine whether the calculated values of chi-square are statistically significant:a. χ2 = 3.02, df = 1, α = 0.05 Critical value is 3.841 , Nob. χ2 = 8.09, df = 4, α = 0.05 Critical value is 9.488 , Noc. χ2 = 10.67, df = 3, α = 0.01 Critical value is 11.345 , Nod. χ2 = 9.88, df = 2, α = 0.01 Critical value is 9.21 , Yes6. Match each of the nonparametric tests in Column A with its parametric counterpart in Column BA. Nonparametric Test B. Parametric Test1. Mann-Whitney U-test a. Paired t-test2. Friedman test b. One-way ANOVA3. Kruskall-Wallis test c. Independent groups t-test4. Wilcoxon signed-ranks test d. Repeated measures ANOVAAnswer:1) c)2) d) 3) b) 4) a) 7. Using the information provided, indicate which statistical test you think should be used for each of the following situations:I have doubts about this onea. Independent variable: normal birth weight vs. low birth weight infants; dependent variable: 1 minute Apgar scores (1-10 scale).b. Independent variable: time of measurement (before, during, and after surgery); dependent variable: heart rate.c. Independent variable: time of measurement (before, during, and after intervention); dependent variable: did vs did not exercise regularly.d. Independent variable: infertility treatment A vs infertility treatment B vs control condition; dependent variable: did vs did not become pregnant.8. Below are three sets of expected frequencies for the four cells of 2 X 2 contingency tables. Identify which statistical procedure would be appropriate for each, using the most conservative approach.Do you have options here ?a. 4 4 b. 35 35 c. 9 921 21 65 65 91 91 ................
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