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 the alpha equals 0.05 level of significance.
(A) Compute the expected counts for each color
(B) what is the test statistic
(C) What is the P value
Color | ||||
Brown | 63 | |||
Yellow | 63 | |||
Red | 55 | |||
Blue Orange Green |
59 87 65 |
Here expected value = P(Color) * Total value of that color/Total value
Here is the expected value table with chi-square table
=
Color | Observed value | Proportion | Expected value | Chi-square |
Brown | 63 | 0.13 | 50.96 | 2.845 |
Yellow | 63 | 0.14 | 54.88 | 1.201 |
Red | 55 | 0.13 | 50.96 | 0.320 |
Blue | 59 | 0.24 | 94.08 | 13.080 |
Orange | 87 | 0.2 | 78.4 | 0.943 |
Green | 65 | 0.16 | 62.72 | 0.083 |
Total | 392 | 1 | 392 | 18.473 |
Chi-square = = 18.473
dF = n -1 = 6 -1 = 5
p - value = CHIDIST(18.473,5) = 0.0024
that p - value is less than 0.05 so we reject the null hypothesis and conclude that the candies doesn't follow the pattern as provided.
A manufacturer of colored candies states that 13 % of the candies in a bag should...
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 the α = 0.05 level of significance. 囲Click the icon to view, the...
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 the a= 0.05 level of significance. Click the icon to view the table....
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 the a = 0.05 level of significance. Click the icon to view the...
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 the a= 0.05 level of significance. Click the icon to view the table....
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 the a= 0.05 level of significance. Click the icon to view the table....
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 nted 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 the α = 0.05 level of significa Click the icon to view the...
A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% vellow, 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 the a=0.05 level of significance. Click the icon to view the table. Expected...
Amanufacturer 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 the 0.05 level of significance Click the loon to view the table Determine the...
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 the a=0.05 level of significance. Click the icon to view the table. Determine...
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 obtain the results shown in the table test whether the bag of colored candies follows the distribution stated above at the a=.05 level of signifcance Color Frequency Claimed Proportion Colored Candies in a...