In: Statistics and Probability
A coach claims that more than 65% of professional soccer players started playing soccer before the age of 7. In a survey 80 randomly selected professional soccer players, they found that 59 started playing soccer before the age of 7. Test the coach’s claim at a 10% significance level.
a) Define the parameter and random variable of interest.
b) State the null and alternative hypotheses, and identify the claim.
c) Determine the distribution of the test statistic. (Check the relevant criteria.)
d) Calculate the test statistic.
e) Find the p-value.
f) State your decision.
g) State your conclusion