Question

Kaitlin recorded the results for a sample of 536 candies.

Color Counts Sample Proportion ()
Red 123 23%
Yellow 145 27%
Green 64 12%
Orange 129 24%
Purple 75 14%
The candy company claims that the distribution of each color is exactly 20%.
Select the observed and expected frequencies for the yellow candies.
a.) Observed: 145
Expected: 80.4
b.) Observed: 123
Expected: 80.4
c.) Observed: 107.2
Expected: 14
d.) Observed: 145
Expected: 107.2

Answer 1

Answer: 104.5

107.2

Explanation:

Answer 2

Observed: 145

Expected: 107.2

Explanation:

to get the observed frequency, we simply look at the value in the column. In this case, it is 145 for the yellow group.

To get the expected frequency, we use the formula:

n equals s a m p l e space s i z e equals 536

p equals h y p o t h e s i z e d space p r o p o r t i o n equals 20 percent sign equals 0.2

E x p e c t e d space F r e q u e n c y equals n times p equals 536 times 0.2 equals 107.2