a school principal claims the graduation rate at a school is 96%. molly, a student at this school, takes a…

a school principal claims the graduation rate at a school is 96%. molly, a student at this school, takes a random sample of students and finds the 95% confidence interval for the true proportion of students graduating from this school is (0.934, 0.983). is it reasonable to conclude the principals claim is incorrect?\nno, because the interval contains 0.96.\nno, because the interval contains values greater than 0.96.\nyes, because the interval has values less than 0.96.\nyes, because a different sample might give different results.

a school principal claims the graduation rate at a school is 96%. molly, a student at this school, takes a random sample of students and finds the 95% confidence interval for the true proportion of students graduating from this school is (0.934, 0.983). is it reasonable to conclude the principals claim is incorrect?\nno, because the interval contains 0.96.\nno, because the interval contains values greater than 0.96.\nyes, because the interval has values less than 0.96.\nyes, because a different sample might give different results.

Answer

Brief Explanations:

A 95% confidence interval gives a range of values within which the true population proportion is likely to lie. If the claimed value by the principal (0.96) is within this interval (0.934, 0.983), we cannot conclude that the principal's claim is incorrect.

Answer:

No, because the interval contains 0.96.