A multinomial experiment with k = 3 cells and n = 320

Chapter 10, Problem 4E

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QUESTION:

A multinomial experiment with k = 3 cells and n = 320 produced the data shown in the following one-way table. Do these data provide sufficient evidence to contradict the null hypothesis that \(p_1=.25, p_2=.25\), and \(p_3=.50\)? Test using \(\alpha=.05\).

Questions & Answers

QUESTION:

A multinomial experiment with k = 3 cells and n = 320 produced the data shown in the following one-way table. Do these data provide sufficient evidence to contradict the null hypothesis that \(p_1=.25, p_2=.25\), and \(p_3=.50\)? Test using \(\alpha=.05\).

ANSWER:

Step 1 of 4

Given

The number of observations in first cell is

The number of observations in second cell is

The  number of observations in third cell is

The objective of the study is to determine whether the given data provide sufficient evidence to contradict the null hypothesis at  level of significance.

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