Last year, a soft drink manufacturer had 21% of the market. In order to increase their portion of the market, the manufacturer has introduced a new flavor in their soft drinks. A sample of 400 individuals participated in the taste test and 100 indicated that they like the taste. We are interested in determining if more than 21% of the population will like the new soft drink.
a.Set up the null and the alternative hypotheses.b.Determine the test statistic.c.Determine the p-value.d.Using ? = .05, test to determine if more than 21% of the population will like the new soft drink.
What will be an ideal response?
| a. | H0: p .21 |
| Ha: p> .21 | |
| b. | Test statistic z = 1.96 (rounded) |
| c. | p-value = .025 |
| d. | p-value = .025 < .05; therefore, reject H0; more than 21% like the new drink. |
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What will be an ideal response?
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