A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly
selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows
the distribution stated above at $\alpha = 0.05$ level of significance. Using the level of significance $\alpha = 0.05$, test whether the color distribution is the same.
Click here to view the table, Click here to view the table of critical values of the chi-square distribution,
A. $H_0$: The distribution of colors is at most as uniform as stated by the manufacturer.
$H_1$: The distribution of colors is more uniform than stated by the manufacturer.
B. $H_0$: The distribution of colors is not the same as stated by the manufacturer.
$H_1$: The distribution of colors is the same as stated by the manufacturer,
C. $H_0$: The distribution of colors is at least as uniform as stated by the manufacturer.
$H_1$: The distribution of colors is less uniform than stated by the manufacturer.
D. $H_0$: The distribution of colors is the same as stated by the manufacturer.
$H_1$: The distribution of colors is not the same as stated by the manufacturer.
Compute the expected counts for each color.
Expected Count
Color Frequency
Brown 61
Yellow 66
Red 52
Blue 63
Orange 94
Green 63
(Round to two decimal places as needed.)
