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Please show solution and explain why

Question

Please show solution and explain why. Thank you!Consider the random variables of batting average and percentage of strikeouts for professional baseball players. A random sample of six professional baseball players gave the following information.   Batting Average  0.328    0.290    0.340    0.248    0.367    0.269  Strikeout Percentage3.27.64.08.63.111.1
Based on this sample,  we have evidence that a greater percentage of strikeouts is associated with a lower batting average since the P-value<1%.we do not have evidence that a greater percentage of strikeouts is associated with a lower batting average since the P-value<1%.there is a statistically significant positive correlation between percentage of strikeouts and batting average.Both a and c are correct.

 
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