Your friend tells you that the proportion of active Major League Baseball player
ID: 3134037 • Letter: Y
Question
Your friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is less than 0.8, a claim you would like to test. The hypotheses here are Null Hypothesis: p 0.8, Alternative Hypothesis: p < 0.8. If you take a random sample of players and calculate p-value for your hypothesis test of 0.0141, what is the appropriate conclusion? Conclude at the 5% level of significance. Question 2 options: 1) The proportion of active MLB players that have an average higher than .300 is significantly larger than 0.8. 2) The proportion of active MLB players that have an average higher than .300 is significantly less than 0.8. 3) The proportion of active MLB players that have an average higher than .300 is significantly different from 0.8. 4) The proportion of active MLB players that have an average higher than .300 is greater than or equal to 0.8. 5) We did not find enough evidence to say the proportion of active MLB players that have an average higher than .300 is less than 0.8. SaveExplanation / Answer
The P value is 0.0141 which is less than the significance level alpha=0.05.
Thus reject the null hypothesis H0:p>=0.8 and the test is statiscally significant at 0.04 level of significance.
Thus the conclusion is:
2) The proportion of active MLB players that have an average higher than .300 is significantly less than 0.8.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.