Your friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is greater than 0.56, a claim you would like to test. The hypotheses for this test are Null Hypothesis: p ≤ 0.56, Alternative Hypothesis: p > 0.56. If you randomly sample 24 players and determine that 14 of them have a batting average higher than .300, what is the test statistic and p-value?
1) Test Statistic: 0.23, P-Value: 0.818
2) Test Statistic: -0.23, P-Value: 0.591
3) Test Statistic: 0.23, P-Value: 0.591
4) Test Statistic: 0.23, P-Value: 0.409
5) Test Statistic: -0.23, P-Value: 0.409