Question

A player who wishes to play on a semi-professional team affirms that his match-shooting percentage * is 40%. The team manager thinks that the proportion of Slam dunk is good, but you want to be sure that the player you really have that percentage and you're testing it. The player must make at least 8 of 20 shots on a
test match to be hired. Do you think that hiring rule is fair to the player?

1. State what is the variable of interest (statistical). With the appropriate nomenclature.

2. State what is the statistical hypothesis and its negation. List them in words and mathematical symbols.

3. State the decision rule that seems fair to you in mathematical terms.

4. List the types of errors and indicate what consequences would have to commit them.

5. Calculate the probability of type 1 error.

Answer 1