5. Please fill in the blanks with either larger or smaller the p-value gets , th

Question

5. Please fill in the blanks with either larger or smaller the p-value gets , the absolute value of t or Z gets Reject the null hypothesis if the p-value isthan the significance level. Please fill in the blank with Type I error or Type Il error Not rejecting the null hypothesis when you should have. Rejecting the null hypothesis when you should not have. A clean air standard requires that vehicle exhaust emissions not exceed specified limits for various pollutants. Many states require that cars be tested annually to be sure they meet these standards. uppose state regulators double check a random sample of cars that a suspect repair shop has certified is OK. They will revoke the shop's license if they find significant evidence that the shop is certifying vehicles that do not meet standards Please fill in the blank with Type I error or Type ll error for the scenario above: The shop is certified as meeting standards and it is not meeting standards It is decided that the shop is not meeting standards when it is meeting standards.

Explanation / Answer

As the p-value gets smaller, the absolute value of tor Z gets larger.
Reject the null hypothesis if the p-value is less than the significance level.

Type II error : Not rejecting the null hypothesis when you should have
Type I error : Rejecting the null hypothesis when you should not have

Type II error : The shop is certified as meeting standards and it is not meeting standards.
Type I error : It is decided that the shop is not meeting standards when it is meeting standards.

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