Your friend tells you that the proportion of active Major League Baseball player

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 0.64, a claim you would like to test. The hypotheses here are Null Hypothesis: p = 0.64, Alternative Hypothesis: p notequalto 0.64. If you take a random sample of players and calculate p-value for your hypothesis test of 0.0211, what is the appropriate conclusion? Conclude at the 5% level of significance. 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 0.64 The proportion of active MLB players that have an average higher than 300 is equal to 0.64. The proportion of active MLB players that have an average higher than 300 is significantly different from 0.64. The proportion of active MLB players that have an average higher than 300 is significantly less than 0.64. The proportion of active MLB players that have an average higher than 300 is significantly larger than 0.64.

Explanation / Answer

Here as the alternate hypothesis is not equal to, therefore this is a two tailed test. The p-value for the test is given to be 0.0211 < 0.05 which is the level of significance, therefore the test is significant and we can reject the null hypothesis here.

Therefore the proportion of active MLB players that have an average greater than 0.3 is significantly different from 0.64 ( because we rejected the null hypothesis which stated that it is equal to 0.64. )

Therefore 3) is the correct answer here.

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