Statistics Homework Solutions
Problem
#10372

Hypothesis Testing

Easy Eye, Inc. manufacturers adult sunglasses of all types.  The company's management is not sure whether to target the next promotional campaign primarily toward men or women and has asked the research team to determine whether the market for sunglasses is split in half.  A study is conducted at various cooperating stores selling sunglasses scattered throughout the market area.  In a random sample of 300 adult purchasers of sunglasses, 141 were men.

What is the appropriate null hypothesis for Easy Eye, Inc. to test? Which one?

What is the value of the test statistic?  

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Easy Eye.doc
Easy Eye, Inc. manufacturers adult sunglasses of all types. The
company's management is not sure whether to target the next promotional
campaign primarily toward men or women and has asked the research team
to determine whether the market for sunglasses is split in half. A
study is conducted at various cooperating stores selling sunglasses
scattered throughout the market area. In a random sample of 300 adult
purchasers of sunglasses, 141 were men.

If ( is the proportion of adult sunglass purchasers who are men, what
is the appropriate null hypothesis for Easy Eye, Inc. to test? Which
one?

Ho: ( = 0.5

Ho: ( not equal to 0.5

Ho: ( greater than equal to 0.5

Ho: ( less than equal to 0.5

2) What is the value of the test statistic? Which one?

–0.06

–0.50

–1.04

–2.54

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