# Essay M&M Project 4

1415 Words Aug 19th, 2011 6 Pages
Strayer University

Math 300

MM Project PT 4

August 14, 2011

Solution: We want to test the following null and alternative hypotheses

We need to use the z-statistic, which is calculated using

Observe that the sample proportion is

This corresponds to a two-tailed z-test for proportions. The z-statistics is computed by the following formula:

The critical value for for this two-tailed test is. The rejection region is given by

Since, then we reject the null hypothesis H0.

Hence, we have enough evidence to reject the claim that the true proportion of blue M&Ms® candies is 0.24.

3 pts. Test their claim that the true proportion of orange M&Ms® candies is 0.20 at the
3 pts. Test their claim that the true proportion of yellow M&Ms® candies is 0.14 at the 0.05 significance level.
Solution: We need to test the following hypotheses

We need to use the z-statistic, which is computed using

Observe that the sample proportion is

This corresponds to a two-tailed z-test for proportions. The z-statistics is given by the following formula:

The critical value for for this two-tailed test is. The rejection region is given by

Since, then we reject the null hypothesis H0.

Hence, we have enough evidence to reject the claim that the true proportion of yellow M&Ms candies is 0.14.

3 pts. Test their claim that the true proportion of red M&Ms® candies is 0.13 at the 0.05 significance level. Solution: We are interested in testing the following hypotheses

We need to use the z-statistic, which is calculated using

Observe that the sample proportion is

This corresponds to a two-tailed z-test for proportions. The z-statistics is given by the following formula:

The critical value for for this two-tailed test is. The rejection region is given by

Since, then we fail to reject the null hypothesis H0.

Hence, we don't have enough evidence to reject the claim the true proportion of red M&Ms candies is 0.13.

3 pts. Test their claim that the true proportion of brown