1. Are the Radiation effects the same for men and women? Among 2,739 female atom bomb survivors, 1,397 developed thyroid diseases. Among 1,352 male atom bomb survivors, 436 developed thyroid diseases. Use a 0.01 significance level to test the claim that the female survivors and male survivors have different rates of thyroid diseases. a) State the Null and Alternative Hypotheses and define which variable is represented by 1 and 2 . [2 marks] b) State which test statistic we should use. (Don't worry about verifying that we've met all the requirements to use that test statistic - just assume we can). [1 mark] c) What are the critical value(s)? Sketch a graph and label the critical points. [2 mark] d) Calculate the calculated test statistic. [2 mark] e) Do we reject the null hypothesis? Why or why not? Explain. [2 marks] f) In the context of this question, what does our answer to part e mean? (For example, if we reject the null hypothesis, what does this mean about the daily travel expenses?)