SOLUTION: suppose that in a random selection of 100 100 colored​ candies, 27 27​% of them are blue. The candy company claims that the percentage of blue candies is equal t

Algebra ->  Statistics  -> Hypothesis-testing -> SOLUTION: suppose that in a random selection of 100 100 colored​ candies, 27 27​% of them are blue. The candy company claims that the percentage of blue candies is equal t      Log On


   



Question 1129386: suppose that in a random selection of
100
100 colored​ candies,
27
27​% of them are blue. The candy company claims that the percentage of blue candies is equal to
29
29​%. Use a
0.05
0.05 significance level to test that claim.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: number is 29%
Ha: number is not 29%
alpha=0.05
test stat is a z critical value z>|1.96|
z=(.27-.29)/sqrt((.27*.73)/100)
sqrt term = 0.0444
z=(-.02/0.0444)
z=-0.45
fail to reject Ho. The true proportion may be 29%.