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# The South African mathematician John Kerrich, while a prisoner of war during World War II, tossed…

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 The South African mathematician John Kerrich, while a prisoner of war during World War II, tossed a coin 10000 times and obtained 5104 heads. Is this significant evidence at the 5% alpha level that the probability that Kerrich’s coin comes up heads is not 0.5?
 Yes No
 2. You want to estimate p with 95% confidence and a margin of error less than or equal to 4%. For planning purposes, you are willing to use p* = 0.55. What is the sample size required?
 591 599 595
 3. A university financial aid office polled an SRS of undergraduate students to study their summer employment. Not all students were employed the previous summer. Here are the results for men and women:
 Men Women Employed 712 623 Not employed 71 92
 4. Is there evidence that the proportion of male students employed during the summer differs from the proportion of female students who were employed? Test the hypothesis at alpha level = 1%.
 Yes No

 One possible effect of air pollution is genetic damage. A study designed to examine this problem exposed one group of mice to air near a steel mill and another group to air in a rural area group. Here are the data for a mutation at the Hm-2 gene locus:
 Location Mutation Steel mill air Rural air Total Yes 30 23 53 No 66 127 193 Total 96 150
 Is there evidence to conclude that the location is related to the occurrence of mutations? Find the chi-square value = test the hypothesis at the alpha level of 0.001.
 (8.77, No, there is not evidence)
 (8.77, Yes, there is evidence)
 (9.77, Yes, there is evidence)
 (9.77, No, there is not evidence)