hypotheses TEST

2009-04-01 5:01 pm
A survey of 40 people shows that 10 agree with the current housing policy and 30 disagree.

Can you reject at α = .05 the following null hypotheses?

(a) the problem is drawn from a population in which p = q = 1/2.

(b) the problem is drawn from a population in which p ≤ 0.2.

回答 (1)

2009-04-01 5:23 pm
✔ 最佳答案
Let X be the number of people who agree with the current housing policy.

a. X ~ B(40 , 1/2)

Now, test statistics, z = (10 + 0.5 - 40(1/2)) / (40 X 1/2 X 1/2)1/2

= -3.004 < -1.645

So, at α = 0.05, the null hypotheses is rejected.


b. X ~ B(40 , 0.2)

Now, test statistics, z = (10 + 0.5 - 40(0.2)) / (40 X 0.2 X 0.8)1/2 = 0.9882 < 1.645

So, at α = 0.05, the null hypotheses is not rejected.
參考: Physics king


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