An organization surveyed 564 high school seniors from a cert

An organization surveyed 564 high school seniors from a certain country and found that 299 believed they would not have enough money to live comfortably in college. The folks at the organization want to know if this represents sufficient evidence to conclude a majority (more than 50%) of high school seniors in the country believe they will not have enough money in college.

(a) What does it mean to make a Type II error for this test?

(b) If the researcher decides to test this hypothesis at the =0.05

level of significance, compute the probability of making a Type II error, ,

if the true population proportion is 0.55.

What is the power of the test?

(c) Redo part (b) if the true population proportion is 0.58.

Solution

Here type II error is rejecting the statement that majority of high school seniors will not have enough money when this is true.

b) 0.00000729

power of the test is 0.9999

c)

0.0000000042

power is