SOLUTION: An administrator at a Midwest university estimates that 12% of the female college students in a P.A. program will change their major to a D.O. program. A random sample of 100 fema

Question 1199254: An administrator at a Midwest university estimates that 12% of the female college students in a
P.A. program will change their major to a D.O. program. A random sample of 100 female P.A.
majors found that 9.5% had changed their major to a D.O. program. At α = 0.05, is there enough
evidence to reject the claim? Complete the hypotheses H1, a summary of your answer, and draw
the normal curve.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
p = .12
q = 1 - p = .88
sample size = 100
standard error = sqrt(p * q / 100) = sqrt(.12*.88/100) = .0325 rounded to 4 decimal places.
z-score = (.095 - .12) / .0325 = -.769 rounded to 3 decimal places.
area to the left of that z-score = .2209 rounded to 4 decimal places.
that's your test alpha.
the two tailed critical alpha is .05/2 = .025 on each end.
the test alpha is greater than this, therefore the results are not significant.
the conclusion is that there is not enough evidence to support the claim that the percentage is not 12%.
H0 states that the percentage is 12%
H1 states that the percentage is not 12%.
the z-score curve looks like the following:

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