SOLUTION: In a sample of 200, we observe 140 successes. Is this sufficient evidence at the 1% significance level to indicate that the population proportion of successes is at least 65%?

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Question 1176914: In a sample of 200, we observe 140 successes. Is this sufficient evidence at the 1% significance level to indicate that the population proportion of successes is at least 65%?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

Ho:  p ≥ .65 claim
Ha:  p < .65
z(140/200) = ( .7 - .65)/sqrt[.65*.35/200] = 1.4825
p-value = P(z > 1.4825) = normalcdf(1.4825,100) = 0.069
Conclusion:: Since the p-value is greater than 1%, fail to reject Ho.
there is sufficient evidence at the 1% significance level to indicate 
that the population proportion of successes is at least 65%

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