Your friend tells you that the proportion of active Major Le

Your friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is greater than 0.78, a claim you would like to test. The hypotheses here are Null Hypothesis: p 0.78, Alternative Hypothesis: p > 0.78. If you take a random sample of players and calculate p-value for your hypothesis test of 0.5923, what is the appropriate conclusion? Conclude at the 5% level of significance.

A. The proportion of active MLB players that have an average higher than .300 is less than or equal to 0.78.

B. The proportion of active MLB players that have an average higher than .300 is sig- nificantly larger than 0.78.

C. We did not find enough evidence to say the proportion of active MLB players that have an average higher than .300 is less than 0.78.

D. We did not find enough evidence to say the proportion of active MLB players that have an average higher than .300 is larger than 0.78.

E. We did not find enough evidence to say a significant difference exists between the proportion of MLB players that have an average higher than .300 and 0.78

Solution

Set Up Hypothesis
Null, H0:P<=0.78
Alternate, H1: P>0.78
P-Value: Right Tail - Ha : ( P > 0.37492 ) = 0.5923
Hence Value of P0.05 < 0.5923,Here We Do not Reject Ho

A. The proportion of active MLB players that have an average higher than .300 is less than or equal to 0.78