SOLUTION: 1. You wish to test the following claim (Ha) at a significance level of α=0.001α=0.001. Ho:p=0.35Ho:p=0.35. Ha:p≠0.35Ha:p≠0.35 You obtain a sample of size n=558n=558 in whic

Algebra ->  Probability-and-statistics -> SOLUTION: 1. You wish to test the following claim (Ha) at a significance level of α=0.001α=0.001. Ho:p=0.35Ho:p=0.35. Ha:p≠0.35Ha:p≠0.35 You obtain a sample of size n=558n=558 in whic      Log On


   

Question 1175255: 1. You wish to test the following claim (Ha) at a significance level of α=0.001α=0.001. Ho:p=0.35Ho:p=0.35. Ha:p≠0.35Ha:p≠0.35
You obtain a sample of size n=558n=558 in which there are 167 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
2. Margin of Error for Proportions
A survey was given to a random sample of 125 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 76% of the people said they preferred Candidate A. At the 95% confidence level, what is the margin of error for this survey expressed as a percentage to the nearest tenth? (Do not write \pm±).
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

1) Ho:  p = 0.35
   Ha:  p ≠ 0.35
  p-hat = 167/558 = .2993
     z = (.2993 - .35) /sqrt(.35*.65)/558) = -2.5109
p-vale = 2P(z < -2.5109) = (2).0006  = .0012       α=0.001

2) ME = 1.96sqrt%28%28.76%2A.24%29%2F125%29 = .07  0r 7%

Wish You the Best in your Studies.