Module 16 HW(2) - Module 16 Problem 43 A tech firm wants to estimate the difference in the proportion of Stanford students who prefer Android phones

# Module 16 HW(2) - Module 16 Problem 43 A tech firm wants to...

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Module 16 Problem 43. A tech firm wants to estimate the difference in the proportion of Stanford students who prefer Android phones over iPhones to the proportion of Caltech students who prefer Android phones to iPhones. The firm randomly sampled 300 Stanford students and 46% said they preferred Android to iPhone. In a random sample of 320 Caltech students, 55% preferred Android phones to iPhones. Use this information to construct a 95% confidence interval to estimate the difference between the proportion of Stanford students who prefer Android phones over iPhones to the proportion of Caltech students who prefer Android phones to iPhones. Round to four quality decimal places and clearly interpret your confidence interval in the context of the question being asked. = ( 0.46 0.55 ± 1.96 0.46 ( 1 0.46 ) 300 + 0.55 ( 1 0.55 ) 320 ) = (-0.1684, -0.0116) Interpretation: We are 95% confident that, on average, the proportion of Stanford students who prefer Android phones to iPhones is between 1.16% and 16.84% lower

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