October 21, 2016

Homework Help: stats

Posted by Louise on Thursday, October 7, 2010 at 11:07pm.

IHI insurance is interested in determining whether younger drivers (below the age of 25) are more prone to motor accidents than older drivers (25 or older). A random sample of 68 IHI policyholders below the age of 25 were selected and whether they had been in less than 2 (or 2 or more) motor accidents in the past year was recorded. This process was repeated for a random sample of 48 IHI policyholders aged 25 or older. The data from these samples is displayed in the table.

You may find this chi-square distribution table useful throughout the following questions.

a)The IHI statisticians would like to test whether the proportion of policyholders who have had at least 2 accidents in the past year is the same for those who are aged below 25 (<25) and those who are aged 25 or older (25). They have constructed a hypothesis test with H0: <25 = 25 and H1: <25 25. Calculate the test statistic (2) that corresponds to this hypothesis test. Give your answer to 3 decimal places.

2 =

Accidents Age Total
< 25 25
< 2 47 32 79
2 21 16 37
Total 68 48 116

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