Solution Found!
A multinomial experiment with k = 4 cells and n = 205
Chapter 10, Problem 5E(choose chapter or problem)
A multinomial experiment with k = 4 cells and n = 205 produced the data shown in the one-way table below.
a. Do these data provide sufficient evidence to conclude that the multinomial probabilities differ? Test using α = .05.
b. What are the Type I and Type II errors associated with the test of part a?
c. Construct a 95% confidence interval for the multinomial probability associated with cell 3.
Questions & Answers
QUESTION:
A multinomial experiment with k = 4 cells and n = 205 produced the data shown in the one-way table below.
a. Do these data provide sufficient evidence to conclude that the multinomial probabilities differ? Test using α = .05.
b. What are the Type I and Type II errors associated with the test of part a?
c. Construct a 95% confidence interval for the multinomial probability associated with cell 3.
ANSWER:
Step 1 of 5
Given
k = 4 cells, n = 205
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 number of observations in fourth cell is
The probability value
= 51.25