MAT-152-Statistics

Hypothesis Testing Introduction

Taste Test

Are name brand products worth the extra money? Taste tests are among the most common uses of basic statistics. Below are the results of a taste-testing experiment to assess whether people tend to prefer the name brand cookie ($3.50 per pound) over the dollar store brand ($1 per pound) when the two are compared head-to-head. The cookies that were

Taste Test Data

Name: Brand Name Cookie (Fudge Stripes^TMby Keebler)

Tally: 19

Frequency: 19

Relative Frequency ?

Name: Dollar Store Brand (Oven Baked^TMFudge Striped Shortbread Cookies)

Tally: 11

Frequency: 11

Relative Frequency ?

1. Which cookie is preferred? Call that one success and calculate ^P.

Test the hypothesis that there is no difference between the name brand cookie ($3.50 per pound) and the dollar store brand ($1 per pound).

2. State the null and alternative hypotheses.

H₀:

H_a:

Test your hypotheses at the a = 0.05 significance level.

3. Be sure to include a sketch, the critical value, the decision rule, the test statistic, and your decision.