(Solved): 5 pts Question 16 The National Assessment of Educational Progress (NAEP) gives a math assessment ev ...

5 pts Question 16 The National Assessment of Educational Progress (NAEP) gives a math assessment every year to 12th graders in the U.S. On the math test, a score above 275 indicates that a student has the skills to balance a checkbook. For a random sample of 500 young men, the mean NAEP math score is 272 with a standard deviation of 78. Do we have evidence to support that claim that young men nationwide have a mean score below 275? The null and alternative hypotheses are HO: µ = 275, Ha: u < 275. The level of significance is 5%. The t-test statistic is -0.86 with a P-value of 0.20. . What is the correct conclusion? (Refer: Make the conclusion by comparing p-value and the level of significance) O we do not have enough evidence to conclude that the mean score is less than 275 for young men nationwide. O It is likely that these 500 young men have a mean score less than 275. O The evidence suggests that young men nationwide have a mean score equal to 275. 4