The P-value for a hypothesis test is 0.072. For each of the following significan

Question

The P-value for a hypothesis test is 0.072. For each of the following significance levels, decide whether the null hypothesis should be rejected. alpha = 0.10 alpha = 0.05 Determine whether the null hypothesis should be rejected for alpha = 0.10. Reject the null hypothesis because the P-value is greater than the significance level. Reject the null hypothesis because the P-value is equal to or less than the significance level. Do not reject the null hypothesis because the P-value is greater than the significance level. Do not reject the null hypothesis because the P-value is equal to or less than the significance level. Determine whether the null hypothesis should be rejected for alpha = 0.05. Reject the null hypothesis because the P-value is equal to or less than the significance level. Do not reject the null hypothesis because the P-value is greater than the significance level. Do not reject the null hypothesis because the P-value is equal to or less than the significance level. Reject the null hypothesis because the P-value is greater than the significance level.

Explanation / Answer

Solution:

Part a

Determine whether the null hypothesis should be rejected for = 0.10.

Answer: B. Reject the null hypothesis because the P-value is equal to or less than the significance level.

Part b

Determine whether the null hypothesis should be rejected for = 0.05.

Answer: B. Do not reject the null hypothesis because the P-value is greater than the significance level.

[Explanation: We use the following decision rule for rejecting or do not rejecting the null hypothesis.

We do not reject the null hypothesis if the p-value is greater than the given level of significance or alpha value and we reject the null hypothesis if the p-value is less than or equal to the given level of significance or alpha value. ]

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