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In: Math

mike is a washington fan. he thinks they win more away games in even years. given...

mike is a washington fan. he thinks they win more away games in even years. given thw last year stars is he right or wrong
odd year home;31
odd year away 22
even year home 30
even years awat 25

Solutions

Expert Solution

Let be the proportion of away matches won in even year and let be the same for odd year. Then the null and alternate hypothesis would be the following:

We will use the following test statistic:

We will use 5% level of significance. Then from the data given,

Therefore the value of the test statistic from the sample would be 0.498. Now observe that this is a right tailed test. Hence the p-value for this test would be

As the p-value is greater than the level of significance hence we fail to reject the null hypothesis. Hence he is wrong.

milcah answered 1 year ago
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