SOLUTION: Professor Brown claims that 33% of his first time chemistry students fail his class. He samples 101 students from last semester who were first-time enrollees in chemistry and find

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Question 1178196: Professor Brown claims that 33% of his first time chemistry students fail his class. He samples 101 students from last semester who were first-time enrollees in chemistry and finds that 26 failed his course. Use a 5% significance level to test Dr. Brown’s claim.
a) State the null and alternative hypothesis.



b) Determine the critical score for rejection and sketch the region.








c) Calculate the test statistic z.





d) Based on the test statistic and rejection region, write your conclusion in context.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Ho:  p = .33 claim

Ha:  p < .33

sample:  n = 101,  mean = 26/101 =  .257

σ = 0.05, 0r  .95 (z = 1.96) 

 z+=blue+%28-.0726%29%2Fsqrt%28blue%28.33%28.67%29%2F101%29%29 = -1.552

|-1.552| < 1.96

Fail to reject Ho.

Wish You the Best in your Studies.