Suppose a friend of yours says she is a 75% free-throw shooter in basketball. You don’t think she is that good and want to test her to gather evidence that she makes less than 75% of her free throws in the long run. You have her shoot 40 free throws and she makes 26 (or 65%) of them. Based on this information, you make the null distribution shown. What is the value of the standardized statistic for your friend?

A. −1.47 

B. –0.13 

C. –0.10 

D. 1.47 

E. 4.77

 

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1800 | SD = 0.068 1200 600 Mean = 0.750 0 0.45 لي 0.53 0.60 0.68 0.75 0.82 0.90 0.97 Proportion of successes