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Questions:

Question 4 Suppose we are about to carry out 95 independent hypothesis tests. We intend to carry out each test at a significance level of 0.10. Suppose that the assumptions of each test are true, and, unknown to us, the null hypothesis is true in all 95 situations. What is the probability that we make a Type I error in exactly 6 of the 95 tests? (Give your numeric response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.) Your Answer: a . Your Answer Question 5 Which of the following are appropriate representations of the null hypothesis in a one-way ANOVA with 4 groups? (There may be more than one that is appropriate; check all that are appropriate representations of the null hypothesis in one-way ANOVA with 4 groups, using the notation of our course.) Ja) Ho : /1 = 12 = 13 = HA Ob) Ho : M1 = 12 = /3 = /4 =0 O c) Ho : X1 = X2 = X3 = X4 = 0 O d) Ho : X1 = X2 = X3 = X4Question 6 Racz et al. {2015] investigated drowning deaths in South-West Hungary, and looked at a possible relationship between manner of death and gender of the victim. They found the following (the data has been slightly modified from the article). Males Females Suicide 4 11 Homicide 1 1 Accident 53 15 Suppose we wish to explore the possibility of a relationship between manner of death and gender by carrying out a chi-square test of independence. If we use R to carry out the calculations, we find: Pearson's Chi-squared test data: Drownings X-squared = 15.221. df = 2, p-value = 0.0004953 (Some of the expected counts [not shown) are rather small, and while that can be somewhat problematic for this type of test, ignore that issue for the purposes of this question.) Which of the following statements are true? There may be more than one correct statement; check all that are true. [_] a) One way of expressing the null hypothesis of the chi-square test is that there is no association between gender and manner of drowning. |:| bl The p-value in the output is the area to the right of 15.221 under a chi- square distribution with 2 degrees of freedom. [_] c) This type of chi-square test can sometimes have a negative value of the test statistic. [_] d) There is strong evidence of an association between manner of drowning and gender