Mathematics, 28.02.2020 02:06, bxbykay1
A study reveals that 65% of homeowners in Omaha own a lawn mower. To test this claim, you form a sample of 500 homeowners in Omaha, of which, 68% owned a lawnmower. Is there enough evidence to reject the claim using a level of significance of 5%?
Answers: 3
vs 
(two-tailed alternative).
. The test statistic is given by
where 
is the standard error of 
when 
is true. The observed value is 
= 1.4064 which comes from a standard normal distribution. Because we want to use a level of significance of 5%, our rejection region is RR={z | z < -1.96 or z > 1.96} where -1.96 and 1.96 are the 2.5th and 97.5th quantiles respectively. Because 1.4064 does not belong to RR, we fail to reject the null hypothesis.
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A study reveals that 65% of homeowners in Omaha own a lawn mower. To test this claim, you form a sam...
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