1: What is the null and alternative hypotheses for this test?2: Calculate the value used in obtaining the overall Chi-squared statistic for the cell “Low Dose- Lived “ round to 3 decimal places5: For this test If the total = 8.719, using the Chi-Square Table what the p-value of the test? Researchers painted a tobacco condensate at one of two dose levels onto the backs of mice. They treated 100 mice at each dose level. After 546 days, researchers classified each mouse into one of three categories: developed a skin tumor during the experimental period, died without a tumor before the end of the experiment, alive and no tumor at the end of the experiment. The results are shown below (Gart and Tarone, 1987; from Gart, 1976).**Table: Effects of Tobacco Condensate Dose Levels on Mice**| Termination Category | Low Dose | High Dose ||-------------------------------------------|----------|-----------|| Developed tumor before end of experiment | 34 | 53 || Died without tumor before end of experiment | 17 | 17 || Alive and no tumor at end of experiment | 49 | 30 |This table details the impact of low and high doses of tobacco condensate on mice over the course of the experimental period. The categories indicate whether the mice developed tumors, died tumor-free, or survived without tumors by the end of the study. The results show a higher number of tumor developments in the high-dose group compared to the low-dose group.

Given, Observed frequency (O) Table: By applying the chi-square of independence, 1) The null and alternative hypothesis Ho: Termination category and type of dose are independent. Ha: Termination category and type of dose are dependent. 2) Expected frequency (E) = row total*column total/Grand total Expected frequency (E) Table: Chi-square test statistic (χ²) : Chi-square test statistic (χ²) = Σ(O-E)2/E =8.719 degree of freedom (df) = (row-1)*(column -1) = (3-1)*(2-1) = 2 5) By using excel,P-value = CHISQ.DIST.RT(χ², df) = 0.0128

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te the value used in obtaining the overall Chi-squared statistic for the cell “Low Dose- Lived “ round to 3 decimal places 5: For this test If the total = 8.719, using th

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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