State whether the standardized test statistic t indicates that you should reject

Question

State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a) t- 1.659 (b) t 0 (c) 1.531 (d) t 1.681 (a) Fort 1659. should you reject or fail to reject the null hypothesis? O A. Fail to reject Ho because t 1.587 O B. Reject Ho because t 1.587 O C. Fail to reject Ho. because t 1.587 O D. Reject Ho, because t 1.587 (b) For t s 0, should you reject or fail to reject the null hypothesis? O A. Fail to reject Ho, because t 1.587 B. Reject Ho, because t

Explanation / Answer

Please note that when

tstat > t critical , then we reject the null hypothesis in favor of alternate hypothesis

tstat < t critical , then we fail to reject the null hypothesis

keeping this in mind , we see that t critical is 1.587

a) 1.659 , so our t stat > t critical , hence we reject

b) t = 0 , hence we fail to reject the null hypothesis

c) t = 1.531 , again t stat < t critical , hence we fail to reject the null hypothesis

d) t = 1.68 , so our t stat > t critical , hence we reject the null

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