2. A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drug have equivalent efficacy. In order to determine if a larger study should be conducted to look inte the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equa .05 level and interpret its results.
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- 2. A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results.Number of Reported Side-EffectsOld Drug 0 1 3 3 5New Drug 0 0 1 2 4 A) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated U value of 16.5 is greater than the critical U value of 2.B) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated U value of 8.5 is greater than the critical U value of 2.C) We reject H0 in favor of H1, which states the two populations are not equal at the alpha equals .05 level because the calculated U value of 16.5 is…. A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of Reported Side-EffectsOld Drug 0 1 1 3 5New Drug 0 0 1 2 4 Old Drug New Drug Total Sample(Ordered Smallest to Largest) RanksOld Drug New Drug Old Drug New DrugR1= R2= A) We reject H0 in favor of H1, which states the two populations are not equal at the alpha equals .05 level because the calculated U value of 10 is greater than the critical U value of 2.B) We reject H0 in favor of H1, which states the two populations are not equal at the alpha equals .05 level because the calculated U value of 8.5 is greater than the critical U value of 2.C) We fail to reject H0,…A new chemotherapy drug is released to treat leukemia and researchers suspect thst the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of reported side effects Old drug 0 1 3 3 5 New drug 0 0 1 2 4
- . A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of Reported Side-Effects Old Drug 0 1 3 3 5 New Drug 0 0 1 2 4 Old Drug New Drug Total Sample (Ordered Smallest to Largest) Ranks Old Drug New Drug Old Drug New Drug 0 0 0 0 2 2 1 0 1 0 4.5 2 3 1 3 1 7.5 4.5 3 2 3 2 7.5 6 5 4 5 4 10 9 Total R1=31.5 R2=23.5 A) We…A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of Reported Side-Effects Old Drug 0 1 3 3 5 New Drug 0 0 1 2 4 Old Drug New Drug Total Sample (Ordered Smallest to Largest) Ranks Old Drug New Drug Old Drug New Drug A) We fail to reject H0, which…A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of Reported Side-Effects Old Drug 0 1 3 3 5 New Drug 0 0 1 2 4 A) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated Uvalue of 16.5 is greater than the critical U value of 2. B) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated Uvalue of 8.5 is greater than the critical U value of 2. C) We reject H0 in favor of H1, which…
- A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of Reported Side-Effects Old Drug 0 1 1 3 5 New Drug 0 0 1 2 4 Old Drug New Drug Total Sample (Ordered Smallest to Largest) Ranks Old Drug New Drug Old Drug New Drug 0 0 0 0 2 2 1 0 0 2 1 1 1 1 3.7 3.7 3 2 1 3.7 5 4 2 7 3 8 4 9 5 10 R1=27.4 R2=23.7 A) We…A new chemotherapy drug is released to treat leukemia and researchers suspect that the drug may have fewer side effects than the most commonly used drug to treat leukemia. The two drugs have equivalent efficacy. In order to determine if a larger study should be conducted to look into the prevalence of side effects for the two drugs, set up a Mann-Whitney U test at the alpha equals .05 level and interpret its results. Number of Reported Side-Effects Old Drug 0 1 1 3 5 New Drug 0 0 1 2 4 Old Drug New Drug Total Sample (Ordered Smallest to Largest) Ranks Old Drug New Drug Old Drug New Drug 0 0 0 0 2 2 1 0 0 2 1 1 1 1 5 5 3 2 1 5 5 4 2 7 3 8 4 9 5 10 R1=30 R2=25 We reject H0 in…31% of all pygmy softshell tortoises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha = 0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?
- 2. A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Affective Disorders Cognitive Disorders Drug-Related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 Using alpha = 0.05, is there a…Suppose a researcher is interested inthe effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs. Student intervention group BMI (kg/m2) Student control group BMI (kg/m2) A 18.6 A 21.6 B 18.2 B 18.9 C 19.5 C 19.4 D 18.9 D 22.6 E 24.1 F 23.6 A) Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program is effective. Use an alpha level of 0.05. Do not assume equal variances.B) Construct a 95% confidence interval about your estimate for the average difference in BMI between the groups.31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha=0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?