Question

Your friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is different from 0.51, a claim you would like to test. If you conduct a hypothesis test, what will the null and alternative hypotheses be

Answer 1

Null hypothesis: The proportion of active Major League Baseball players who have a batting average greater than 0.300 is 0.51 (p equals 0.51).

Alternate hypothesis: The proportion of active Major League Baseball players who have a batting average greater than 0.300 is not 0.51 (p not equals 0.51).

Explanation:

A null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

An alternate hypothesis is also a statement from the population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.