State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a) t=2.242 (b) t= 0 (c) t=2.195 (d) t= -2.254 -2210 (a) For t=2.242, should you reject or fail to reject the null hypothesis? O A. Reject Ho, because t> 2.219. O B. Reject Ho, because t<2.219. O C. Fail to reject Ho, because t> 2.219. O D. Fail to reject Ho, because t<2.219.

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State whether the standardized test statistic \( t \) indicates that you should reject the null hypothesis. Explain.

(a) \( t = 2.242 \)  
(b) \( t = 0 \)  
(c) \( t = 2.195 \)  
(d) \( t = -2.254 \)  

(a) For \( t = 2.242 \), should you reject or fail to reject the null hypothesis?

- A. Reject \( H_0 \), because \( t > 2.219 \).
- B. Reject \( H_0 \), because \( t < 2.219 \).
- C. Fail to reject \( H_0 \), because \( t > 2.219 \).
- D. Fail to reject \( H_0 \), because \( t < 2.219 \).

**Graph Description:**

The graph is a bell-shaped curve representing a t-distribution. It is centered at \( t = 0 \) and symmetrical around it. There is a shaded region to the right of the curve starting at approximately \( t = 2.219 \), representing the critical region where the null hypothesis would be rejected. The line at \( t = 2.219 \) is marked, indicating the critical value.
Transcribed Image Text:State whether the standardized test statistic \( t \) indicates that you should reject the null hypothesis. Explain. (a) \( t = 2.242 \) (b) \( t = 0 \) (c) \( t = 2.195 \) (d) \( t = -2.254 \) (a) For \( t = 2.242 \), should you reject or fail to reject the null hypothesis? - A. Reject \( H_0 \), because \( t > 2.219 \). - B. Reject \( H_0 \), because \( t < 2.219 \). - C. Fail to reject \( H_0 \), because \( t > 2.219 \). - D. Fail to reject \( H_0 \), because \( t < 2.219 \). **Graph Description:** The graph is a bell-shaped curve representing a t-distribution. It is centered at \( t = 0 \) and symmetrical around it. There is a shaded region to the right of the curve starting at approximately \( t = 2.219 \), representing the critical region where the null hypothesis would be rejected. The line at \( t = 2.219 \) is marked, indicating the critical value.
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