Refer to Exercise 6.44 (p. 325), in which 50 consumers

Chapter 7, Problem 67E

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QUESTION:

Problem 67E

Refer to Exercise 6.44 (p. 325), in which 50 consumers taste-tested a new snack food. Their responses (where 0 = do not like; 1 = like; 2 = indifferent) are reproduced below.

a. Test H0: p = .5 against Ha: p > .5, where p is the proportion of customers who do not like the snack food. Use = .10.

b. Find the observed significance level of your test.

Questions & Answers

QUESTION:

Problem 67E

Refer to Exercise 6.44 (p. 325), in which 50 consumers taste-tested a new snack food. Their responses (where 0 = do not like; 1 = like; 2 = indifferent) are reproduced below.

a. Test H0: p = .5 against Ha: p > .5, where p is the proportion of customers who do not like the snack food. Use = .10.

b. Find the observed significance level of your test.

ANSWER:

Solution:

Step 1 of 3:

Here the experiment under consideration is collecting the opinion on the taste of a new food.

A sample of 50 consumers tasted the food and their responses are recorded.

0 denotes that they do not like the taste

1 denotes that they like the taste

2 indicates that the taste is indifferent.

The data is

1

0

0

1

2

0

1

1

0

0

0

1

0

2

0

2

2

0

0

1

1

0

0

0

0

1

0

2

0

0

0

1

0

0

1

0

0

1

0

1

0

2

0

0

1

1

0

0

0

1

Using this we need to find the required values.


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