The College Board reported that 58.7% of all students who took the 2010 AP Statistics exam earned the score of 3 or higher. One teacher wondered if the performance of her school was better. She believed that year’s students to be typical of those who will take AP Stats at that school and was pleased when 34 of her 54 students achieved scores of 3 or better. Can she claim that her school is better? Explain

a. State the hypotheses
b. State the formula and find the test statistics. (TI- 84 calculator may be useful)
c. Find the P-value
d. State the conclusion be as clear as you may be in explaining your result.

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a. State the hypotheses
According to the College Board report 58.7% student score more that 3 or higher.
Thus Null hypothesis H0: p = 0.587
Alternative Hypothesis H1: p > 0.587
Alpha level = 0.05

b. State the formula and find the test statistics. (TI- 84 calculator may be useful)
Since np = 34*0.587 = 19.958 > 5 and n (1-p) = 34*(1- 0.587) = 14.042 > 5
This shows that data is normally distributed. According to the problem 34 student score 3 or better.
thus p^ = 34/54 = 0.630 (approx)...

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