It is expected that a treatment will reduce scores on a variable. If a = .05, what is the critical t value for a one-tailed hypothesis test with n = 15? %3D O t= 1.761 O t= -1.761 Ot= 1.746 O t= -1.746

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**Hypothesis Testing and Critical t Value**

In this problem, we are testing a hypothesis that a treatment will reduce scores on a particular variable. The significance level (α) is set at 0.05, and the sample size (n) is 15. We need to determine the critical t value for a one-tailed hypothesis test.

**Options:**

- \( t = 1.761 \)
- \( t = -1.761 \)
- \( t = 1.746 \)
- \( t = -1.746 \)

### Explanation:

Before selecting the correct option, recall that for a one-tailed test reducing scores, we generally look for a negative critical t value at the specified significance level. 

To find the critical t value, you would typically use a t-distribution table or a statistical calculator, considering \( n - 1 = 14 \) degrees of freedom for the test.
Transcribed Image Text:**Hypothesis Testing and Critical t Value** In this problem, we are testing a hypothesis that a treatment will reduce scores on a particular variable. The significance level (α) is set at 0.05, and the sample size (n) is 15. We need to determine the critical t value for a one-tailed hypothesis test. **Options:** - \( t = 1.761 \) - \( t = -1.761 \) - \( t = 1.746 \) - \( t = -1.746 \) ### Explanation: Before selecting the correct option, recall that for a one-tailed test reducing scores, we generally look for a negative critical t value at the specified significance level. To find the critical t value, you would typically use a t-distribution table or a statistical calculator, considering \( n - 1 = 14 \) degrees of freedom for the test.
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