a candy company claims that its jelly bean mix contains 15% blue jelly beans. Suppose that the candies are packaged at random in small bags containing about 200 jelly beans. if you receive a bag with 20 blue jelly beans, would you be doubtful of the company claim? answer by calculating the appropriate z-score. Round to the nearest hundredth when necessary.
a. yes, z=9.9
b. no, z=-1.98
c. no, z=1.77
d. yes, z=-1.98
e. yes, z=1.98
H0: p = 0.15
HA: p 0.15
Sample proportion = 20 / 200 = 0.10
Test statistics
z = ( - p) / sqrt ( p ( 1 - p) / n )
= (0.10 - 0.15) / sqrt ( 0.15 * 0.85 / 200)
= -1.98
Critical values at 0.05 level = -1.96 , 1.96
Since test statistics falls in rejection region, reject H0.
Yes, z = -1.98
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