3. Oncologists wanted to study whether average expression of the p53 gene differed between localized, regional, and dist

[answerhappygod]

3 Oncologists Wanted To Study Whether Average Expression Of The P53 Gene Differed Between Localized Regional And Dist 1 (192.91 KiB) Viewed 32 times

3. Oncologists wanted to study whether average expression of the p53 gene differed between localized, regional, and distant stage breast cancers. These researchers randomly sampled 35 patients from each breast cancer stage and measured p53 gene expression in these patients and conducted a one-way analysis of variance (ANOVA). Summary statistics, boxplots of the data, and SPSS output from ANOVA are given below. Stage Localized Regional Distant Table of summary statistics for p53 gene expression Mean Median Mode Standard deviation 7.9 7.8 7.9 1.2 9.7 9.8 9.7 1.1 11.0 11.2 11.1 1.1 12 TV GENE EXPRESSION Distant Regional Localized STAGE ANOVA gene expr df F sig Sum of Squares 173.560 131.519 305.080 Between Groups Within Groups Total 67.302 Mean Square 86.780 1.289 .000 2 102 104 a. What would you conclude about the assumptions of ANOVA? [0.3 points. Siait talii assumption Uí AIOVA, aiüit itaSUI wily you min il is (Ui is not) satisfied here.] b. What are your null and alternative hypotheses? [0.2 point] c. What is the sampling distribution of the test statistic? [0.1 point] d. What is (or are) the degrees of freedom of your test statistic. Give the number(s) from the output. You do not need to state the formula. You must give the number(s). Just giving the formula without giving the number(s) will earn you 0 points. [0.1 point] e. What is your decision? Do you reject or not reject your null hypothesis? Justify your decision using the SPSS output give above. [0.1 point] f. Write your scientific conclusion by including the p-value in parentheses. Do not say "fail to reject" or "reject” the null hypothesis in your scientific conclusion. [0.2 point]