Q

QuestionStatistics

The problem asks about the effect of changing the significance level (alpha level) on the risks of type one and type two errors in hypothesis testing.

- Type one error: Rejecting the null hypothesis when it is true. - Type two error: Failing to reject the null hypothesis when it is false.

The significance level (alpha level) is the probability of making a type one error. A smaller alpha level decreases the chance of making a type one error but increases the chance of making a type two error, and vice versa.

- Option A is incorrect because decreasing the alpha level decreases the risk of a type one error but increases the risk of a type two error. - Option B is incorrect because increasing the alpha level increases the risk of a type one error and decreases the risk of a type two error. - Option C is correct because decreasing the alpha level decreases the risk of a type one error but increases the risk of a type two error. - Option D is incorrect because increasing the alpha level increases the risk of a type one error and decreases the risk of a type two error.