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Chapter 11: Q 9. (page 718)

Munching Froot Loops Kellogg鈥檚 Froot Loops cereal comes in six colors:

orange, yellow, purple, red, blue, and green. Charise randomly selected 120 loops and noted the color of each. Here are her data:

Do these data provide convincing evidence at the 5% significance level that Kellogg鈥檚 Froot Loops do not contain an equal proportion of each color?

Short Answer

Expert verified

There is insufficient evidence to refute Kellogg's assertion that its Froot Loop includes an equal quantity of each flavor.

Step by step solution

01

Given information

Significance level: 5% = 0.05

02

Concept

Null hypothesis: H0

When the value of P is less than or equal to the significance level, the null hypothesis is rejected.

03

Explanation

The Pvalue is used to calculate the likelihood of a test statistic or a more extreme number.

The P-value in the appendix, which contains the X2value in the row df=5may be found in the chi-square distribution table.

0.15<P<0.20

When the value of Pis not less than or equal to the significance level, the null hypothesis is not rejected.

P>0.05: fail to reject H0

Hence, There is insufficient evidence to disprove the company's assertion that Kellogg's produces Froot Loop.

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