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Provide the null hypothesis and the statistical test that would be used for the following research...

Provide the null hypothesis and the statistical test that would be used for the following research hypothesis: Whites in suburban areas who are convicted of more than 3 offenses receive longer prison sentences than whites in suburban areas that are convicted of 3 offenses or less.

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Answer #1

Since the two population are different we use the t test for two independent samples . The claim is to check that the prison sentences for sub urban whites who convicted less than 3 crimes is fewer than those who convicted more than 3 offences

Null Hypothesis , H0: (The mean of the two groups are same )

Alternative Hypothesis,Ha:

The test statistic is

If the calculated value is greater than the critical value , we reject the null hypothesis and conclude that kur claim is true at the given level of significance

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