A certain soccer player has made 80% of her penalty shots over her professional career. She...

A certain soccer player has made 80% of her penalty shots over her professional career. She is injured, but recovers. On her return, she only makes 5 of her first 10 penalty shots.

Assuming she is actually just as good at penalty shots as she was before her injury and each shot is independent of each other shot, calculate the probability of her making exactly 5 out of 10 penalty shots.
Calculate the probability of her making 5 or fewer penalty shots out of 10, assuming she is still an 80% shooter.
The previously calculated value could be thought of as the p-value for a hypothesis test. The null hypothesis for this test is H₀: p=0.8. Define p in context and write the alternative hypothesis for this test.
What conclusion would you draw about the soccer player’s penalty shot ratio?

Expert Solution

orchestra answered 2 years ago

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