Determine the null and alternative hypotheses. Choose the correct choice below.
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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Question
Determine the null and alternative hypotheses. Choose the correct choice below.
H0:
The expected frequencies are all equal to 5.Ha:
At least one expected frequency differs from 5.H0:
The distribution of the variable is the same as the given distribution.Ha:
The distribution of the variable differs from the given distribution.H0:
The distribution of the variable differs from the normal distribution.Ha:
The distribution of the variable is the normal distribution.H0:
The distribution of the variable differs from the given distribution.Ha:
The distribution of the variable is the same as the given distribution.Compute the value of the test statistic,
χ2.
χ2=
(Round to three decimal places as needed.)
Find the P-value.
P=
(Round to three decimal places as needed.)
Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution?
No,
because there is sufficient evidence to reject the null hypothesis.Yes,
because there is not sufficient evidence to reject the null hypothesis.Yes,
because there is sufficient evidence to reject the null hypothesis.No,
because there is not sufficient evidence to reject the null hypothesis.
Transcribed Image Text:A distribution and the observed frequencies of the values of a variable from a simple
random sample of the population are provided below. Use the chi-square goodness-of-fit
test to decide, at the specified significance level, whether the distribution of the variable
differs from the given distribution.
Distribution: 0.1875, 0.25, 0.25, 0.3125
Observed frequencies: 20, 21, 20, 35
Significance level = 0.05
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