A random sample of 150 observations was classified into

Chapter 10, Problem 39SE

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QUESTION:

A random sample of 150 observations was classified into the categories shown in the table below.

a. Do the data provide sufficient evidence that the categories are not equally likely? Use \(\alpha\ =\ .10\).

b. Form a 90% confidence interval for \(p_2\), the probability that an observation will fall into category 2.

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QUESTION:

A random sample of 150 observations was classified into the categories shown in the table below.

a. Do the data provide sufficient evidence that the categories are not equally likely? Use \(\alpha\ =\ .10\).

b. Form a 90% confidence interval for \(p_2\), the probability that an observation will fall into category 2.

ANSWER:

Step 1 of 3

a)

Given k = 5 and n = 150  a = 0.10

Null Hypothesis

Alternative is

 At least one of the Multinomial Probabilities does not equal to

                             Hypothesized value (0.20)

Test statistic:  

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