The P-value for a hypothesis test is 0.083. For each of the following significance levels, decide whether the null hypothesis should be rejected. a. α=0.05 b. a = 0.10 .....

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The P-value for a hypothesis test is 0.083. For each of the following significance levels, decide whether the null hypothesis should be rejected.

a. α = 0.05  
b. α = 0.10  

---

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

- A. ○ Reject the null hypothesis because the P-value is equal to or less than the significance level.
- B. ○ Do not reject the null hypothesis because the P-value is greater than the significance level.
- C. ● Reject the null hypothesis because the P-value is greater than the significance level.
- D. ○ Do not reject the null hypothesis because the P-value is equal to or less than the significance level.

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

- A. ● Reject the null hypothesis because the P-value is equal to or less than the significance level.
- B. ○ Do not reject the null hypothesis because the P-value is greater than the significance level.
- C. ○ Do not reject the null hypothesis because the P-value is equal to or less than the significance level.
- D. ○ Reject the null hypothesis because the P-value is greater than the significance level.
Transcribed Image Text:The P-value for a hypothesis test is 0.083. For each of the following significance levels, decide whether the null hypothesis should be rejected. a. α = 0.05 b. α = 0.10 --- **a. Determine whether the null hypothesis should be rejected for α = 0.05.** - A. ○ Reject the null hypothesis because the P-value is equal to or less than the significance level. - B. ○ Do not reject the null hypothesis because the P-value is greater than the significance level. - C. ● Reject the null hypothesis because the P-value is greater than the significance level. - D. ○ Do not reject the null hypothesis because the P-value is equal to or less than the significance level. **b. Determine whether the null hypothesis should be rejected for α = 0.10.** - A. ● Reject the null hypothesis because the P-value is equal to or less than the significance level. - B. ○ Do not reject the null hypothesis because the P-value is greater than the significance level. - C. ○ Do not reject the null hypothesis because the P-value is equal to or less than the significance level. - D. ○ Reject the null hypothesis because the P-value is greater than the significance level.
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