In: Statistics and Probability
Researchers working for Kaiser want to know if there is a relationship between smoking and diabetes. They sample 900 patients at random from the population of patients who are 18 and older. In the sample, there are 145 smokers. Of these, 54 have no diabetes, 72 have pre-diabetes, and 19 have diabetes. Among the nonsmokers, 527 have no diabetes, 160 have pre-diabetes, and 68 have diabetes. (a) What is the null hypothesis the researchers might want to test, and what is the appropriate test statistic? 344 (b) Make a table to represent the data. 345 (c) Carry out the test and state your conclusion. 346 (d) The table we made to summarize the data does not clearly present the relationship between smoking and diabetes. Can you think of a way to modify it to make the relationship clearer? 347 (e) What kind of study is this? Explain what the result of the hypothesis test means in light of the limitations of this study.Provide step by step details and explanations.