Questions: The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H0 when the level of significance is (a) α=0.01, (b) α=0.05, and (c) α=0.10. P=0.0033 A. Reject H0 because the P -value, 0.0033, is greater than α=0.05. B. Reject H0 because the P-value- 0.0033, is less than α=0.05. C. Fail to reject H0 because the P-value, 0.0033, is less than α=0.05. D. Fail to reject H0 because the P-value, 0.0033, is greater than α=0.05. (c) Do you reject or fail to reject H0 at the 0.10 level of significance? A. Fail to reject H0 because the P-value, 0.0033, is greater than α=0.10. B. Reject H0 because the P-value, 0.0033, is greater than α=0.10. C. Reject H0 because the P-value, 0.0033, is less than α=0.10. D. Fail to reject H0 because the P-value, 0.0033, is less than α=0.10.

Transcript text: The P-value for a hypothesis test is shown. Use the $P$-value to decide whether to reject $H_{0}$ when the level of significance is (a) $\alpha=0.01,(\mathrm{~b}) \alpha=0.05, a n d$ ( $c$ ) $\alpha=0.10$. \[ \mathrm{P}=0.0033 \] A. Reject $\mathrm{H}_{0}$ because the P -value, 0.0033 , is greater than $\alpha=0.05$. B. Reject $\mathrm{H}_{0}$ because the P-value- 0.0033 , is less than $\alpha=0.05$. C. Fail to reject $H_{0}$ bocause the $P$-value, 0.0033 , is less than $\alpha=0.05$. D. Fail to reject $H_{0}$ because the $P$-value, 0.0033 , is greater than $\alpha=0.05$. (c) Do you reject or fail to reject $\mathrm{H}_{0}$ at the 0.10 level of significance? A. Fail to reject $H_{0}$ because the $P$-value, 0.0033 , is greater than $\alpha=0.10$. B. Reject $\mathrm{H}_{0}$ because the $\mathbf{P}$-value, 0.0033 , is greater than $\alpha=0.10$. C. Reject $H_{0}$ because the $P$-value, 0.0033 , is less than $\alpha=0.10$. D. Fail to reject $H_{0}$ because the $P$-value, 0.0033 , is less than $\alpha=0.10$.