A random sample of 795subjects was asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. The table below shows​ goodness-of-fit test results from the claim and data from the study. Test that claim using either the critical value method or the​ P-value method with an assumed significance level ofα=0.05.  Num Categories 7   Test​ statistic, χ2 7.703 Degrees of freedom 6   Critical χ2 12.592 Expected Freq 113.5714   ​P-Value 0.2607 Determine the null and alternative hypotheses. Identify the test statistic. Identify the critical value.  State the conclusion.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A random sample of 795subjects was asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. The table below shows​ goodness-of-fit test results from the claim and data from the study. Test that claim using either the critical value method or the​ P-value method with an assumed significance level ofα=0.05. 
Num Categories
7
 
Test​ statistic,
χ2
7.703
Degrees of freedom
6
 
Critical
χ2
12.592
Expected Freq
113.5714
 
​P-Value
0.2607

Determine the null and alternative hypotheses.

Identify the test statistic.

Identify the critical value. 

State the conclusion.

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