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=0.0237 (a) Do you reject or fail to reject H₀ at the 0.01 level of significance? A. Fail to reject H₀ because the P -value, 0.0237, is greater than α=0.01. B. Fail to reject H₀ because the P-value, 0.0237, is less than α=0.01. C. Reject H₀ because the P-value, 0.0237, is greater than α=0.01. D. Reject H₀ because the P-value, 0.0237, is less than α=0.01. (b) Do you reject or fail to reject H₀ at the 0.05 level of significance? A. Reject H₀ because the P-value, 0.0237, is greater than α=0.05. B. Fail to reject H₀ because the P-value 0.0237, is less than α=0.05. C. Reject H₀ because the P-value 0.0237, is less than α=0.05. D. Fail to reject H₀ because the P-value, 0.0237, is greater than α=0.05.

Transcript text: The P -value for a hypothesis test is shown. Use the P -value to decide whether to reject $\mathrm{H}_{0}$ when the level of significance is ( a ) $\alpha=0.01$, (b) $\alpha=0.05$, and (c) $\alpha=0.10$. \[ \mathrm{P}=0.0237 \] (a) Do you reject or fail to reject $\mathrm{H}_{0}$ at the 0.01 level of significance? A. Fail to reject $\mathrm{H}_{0}$ because the P -value, 0.0237 , is greater than $\boldsymbol{\alpha}=0.01$. B. Fail to reject $H_{0}$ because the $P$-value, 0.0237 , is less than $\alpha=0.01$. C. Reject $H_{0}$ because the $P$-value, 0.0237 , is greater than $\alpha=0.01$. D. Reject $H_{0}$ because the $P$-value, 0.0237 , is less than $\boldsymbol{\alpha}=0.01$. (b) Do you reject or fail to reject $\mathrm{H}_{0}$ at the 0.05 level of significance? A. Reject $H_{0}$ because the $P$-value, 0.0237 , is greater than $\alpha=0.05$. B. Fail to reject $H_{0}$ because the $P$-value 0.0237 , is less than $\boldsymbol{\alpha}=0.05$. C. Reject $H_{0}$ because the $P$-value 0.0237 , is less than $\alpha=0.05$ D. Fail to reject $H_{0}$ because the $P$-value, 0.0237 , is greater than $\alpha=0.05$.