Taste Test. Some people claim that they can tell the difference between a diet soda and...

Taste Test. Some people claim that they can tell the difference between a diet soda and a regular soda in the first sip. A researcher wanting to test this claim randomly sampled 138 such people. He then filled 138 plain white cups with soda, half diet and half regular through random assignment, and asked each person to take one sip from their cup and identify the soda as diet or regular. 91 participants correctly identified the soda. Round all answers to 4 decimal places.

1. What are the correct hypotheses for conducting a hypothesis test to determine if these data provide strong evidence that these people are able to detect the difference between diet and regular soda, in other words, that the results are significantly better than just random guessing.

A. H0:p=0.5H0:p=0.5, HA:p<0.5HA:p<0.5
B. H0:p=0.5H0:p=0.5, HA:p≠0.5HA:p≠0.5
C. H0:p=0.5H0:p=0.5, HA:p>0.5HA:p>0.5

2. Calculate the test statistic for this hypothesis test. z = ?

3. Calculate the p-value for this hypothesis test.

4. What is your conclusion using αα = 0.01?
A. Do not reject H0H0
B. Reject H0H0

Expert Solution

orchestra answered 2 years ago

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