Question

Karen recorded the results for a sample of 518 candies.

Color Counts Sample Proportion
(p with hat on top)
Red 130 25%
Yellow 109 21%
Green 93 18%
Orange 114 22%
Purple 72 14%
The candy company claims that the distribution of each color is exactly 20%. Select the observed and expected frequencies for the green candies.
a.) Observed: 103.6 Expected: 93
b.) Observed: 93 Expected: 93.2
c.) Observed: 93 Expected: 103.6
d.) Observed: 72 Expected: 93.2

Answer 1

observed: 93 exp: 103.6

Explanation:

To get the observed frequency, we simply look at the value in the column. In this case, it is 93 for the green group.

Answer 2

The answer is (C)

Explanation:

Sample size = 518

The number of green candies observed/counted is = 93

That's an approximated value for 18% of the 518 candies

18/100 × 518 = 93.24 ≅ 93

Note, the symbol ≅ means 'approximately equal to'

Since the candy company claims that the distribution of each color is exactly 20%, the expected frequency for green candies is:

20% of 518 = 20/100 × 518 = 103.6

That makes the answer (C)