Question

2) (5.5 points) Reports have shown that the proportion of deaths due to cancer in the U.S.is 20%. A researcher wants to examine whether workers in U.S. nuclear power plants have an increased proportion of deaths due to cancer compared to the national average. A hypothesis test was conducted at a 5% significance level. a) (1 point) What is the outcome variable? Is this outcome variable considered to be continuous or dichotomous? b) (2 points) State the null and alternative hypotheses used in this study. c) (1.5 points) During the study, a total of n = 26 deaths were recorded from workers in U.S. nuclear power plants. Can the researcher use a z statistic for this hypothesis test? Explain your reasoning and/or show your work. d) (1 point) Out of the 26 recorded deaths, 10 of them were due to cancer. The researcher determined the p-value for this hypothesis test to be 0.0093. Based only on this p-value, is there significant evidence (should we reject Ho) to show that the proportion of deaths from cancer is greater for nuclear power plant workers? Explain your reasoning.

Answer 1

solution a) Here the outcome variable is the proportion of deaths due to cancer in u.s. this is continuous variable b) the null & alternative hypothers is Ho-P=0.2 vs Hi-P>0.2 2 here n=26, then nap = 26(0.2) = 5.2 >5. n(1-P)=26(1-0-2) = 2018 >5 here mp3s & nazs, so we can use the a- statistic d) here P-value =0.0093 20.05 so reject to and there is a evidence that workers in U.S. nuclear power plants have an increased proportion of deaths due to cancer