Based on the 50 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fit test with a = 0.05, degrees of freedom (k -p – 1) = 3 Question 1: State the parameter of interest Question 2: Formulate the null and alternative hypothesis Question 3: Find the value of the critical Chi-Square, xã, k-p-1 Question 4: Test the hypothesis if the distribution of the random variable X follows the binomial distribution
Based on the 50 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fit test with a = 0.05, degrees of freedom (k -p – 1) = 3 Question 1: State the parameter of interest Question 2: Formulate the null and alternative hypothesis Question 3: Find the value of the critical Chi-Square, xã, k-p-1 Question 4: Test the hypothesis if the distribution of the random variable X follows the binomial distribution
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Consider the following frequency table of 50 observations on the random variable X:
Value
1
3 or more
Observed
4
21
10
15
Expected
8.8989
17.7979
14.8315
8.4717
Based on the 50 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fit
test with a = 0.05, degrees of freedom (k – p – 1) = 3
Question 1:
State the parameter of interest
Question 2:
Formulate the null and alternative hypothesis
Question 3:
Find the value of the critical Chi-Square, xá, k-p-1
Question 4:
Test the hypothesis if the distribution of the random variable X follows the binomial distribution
v Question 1
a. Parameter of interest is the distribution of the random variable X
v Question 2
b. Because X2 # X²
reject the null hypothesis. Distribution is binomial.
a ,k -p -1
v Question 3
c. Ho: Distribution of random variable X is not binomial
v Question 4
H1: Distribution of random variable X is binomial
d. Because X? > X²
reject the null hypothesis. Distribution is not binomial
a ,k -p – 1
e. Ho: Distribution is binomial
H1: Distribution is not binomial
f. 7.81
g. 12.84
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