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A random sample of 150 observations was classified into
Chapter 10, Problem 39SE(choose chapter or problem)
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.
Questions & Answers
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: