SOLUTION: A statistics practitioner wants to test the following hypotheses: H^0: p=.70 H^1: p>.70 A random sample of 100 produced p=.67 Calculate the p-value of the test. b).Re

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Question 923889: A statistics practitioner wants to test the following hypotheses:
H^0: p=.70
H^1: p>.70

A random sample of 100 produced p=.67
Calculate the p-value of the test.

b).Repeat part (a) with p=.68
C).Repeat part (a) with p=.69
D).Describe the effect on the z-statistic and its p-value of increasing the sample proportion.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: p=.70
Ha: p > .70
....
A random sample of 100 produced p=.67
z%28.67%29+=blue+%28.67+-+.70%29%2Fsqrt%28.70%2A.30%2F100%29 = -.03/.0458 = -.6547
Using TI or Similarly Your Casio fx-115 ES plus
p-value = P(z > -.6547) = normalcdf(-.6547, 100) = .7437
..........
z%28.68%29+=blue+%28.68+-+.70%29%2Fsqrt%28.70%2A.30%2F100%29 = -.02/.0458 = -.4364
p-value = P(z > -.4364) = normalcdf(-.4364, 100) = .6687
.........
z%28.69%29+=blue+%28.69+-+.70%29%2Fsqrt%28.70%2A.30%2F100%29 = -.01/.0458 = -.2183
p-value = P(z > -.2183) = normalcdf(-.2183, 100) = .5864
.........
increasing the sample proportion , increases the z -value (-.2183 > -.6547)
and decreases the probability of that sample proportion