SOLUTION: In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported th

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Question 1198430: In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: p = .71
Ha: p > .71 researches claim
n = 110 (n>30, use z-test)
x̄ = 91/110 = .827 rounded
z+=blue+%28.827+-+.71%29%2Fsqrt%28blue%28.71%28.29%29%2F110%29%29 = 2.7
p(z > 2.7) = .0035
.0035 < .01 , reject Ho. The Evidence supports the researches claim.