Mr. Guo and Mr. Lange receive many spam emails every day. They each randomly choose 14975 emails from their inbox. Mr. Guo finds that 11 out of every 25 emails he selects is spam, while Mr. Lange finds that 16 out of every 25 emails he selects is spam. Prior information suggests the proportion of emails in Mr. Lange’s inbox is 55%. He wishes to know if there is enough evidence to conclude that the prior information is incorrect. (a) State the competing theories of this test. (b) Are the requirements for the One-Sample Z Test for p met? If not, explain why. (c) Compute the Z statistic. Round your answer to three decimal places. (d) Compute α0 as discussed in class. What conclusion can you draw?
Mr. Guo and Mr. Lange receive many spam emails every day. They each randomly choose 14975 emails from their inbox. Mr. Guo finds that 11 out of every 25 emails he selects is spam, while Mr. Lange finds that 16 out of every 25 emails he selects is spam. Prior information suggests the proportion of emails in Mr. Lange’s inbox is 55%. He wishes to know if there is enough evidence to conclude that the prior information is incorrect. (a) State the competing theories of this test. (b) Are the requirements for the One-Sample Z Test for p met? If not, explain why. (c) Compute the Z statistic. Round your answer to three decimal places. (d) Compute α0 as discussed in class. What conclusion can you draw?
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