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# Statistics - Hypothesis test - ChiSquare test

Please see attached file with two questions with charts. Thank you!

Here we examine the relationship between social class and spending on welfare and education.

Lower Class Working Class Middle Class Upper Class
Spending on
welfare Too little 18 59 73 4
About right 12 109 132 10
Too much 16 142 121 12

Total 46 310 326 26

Lower Class Working Class Middle Class Upper Class
Spending on
education Too little 36 232 244 19
About right 10 71 70 4
Too much 2 13 18 3

Total 48 316 332 26

a) Calculate the value of chi-square for each table. What is the number of degrees of freedom for each table?
b) Based on an alpha of .01, do you reject the null hypothesis?

#### Solution Preview

Solution (1):
NOTE : The detailed step by step solution is given in the attached solution file on four pages. Please download the attached solution file.

However, here I am giving just a few steps.
Null Hypothesis H0 : Social Class and spending on Welfare are not dependent
...

#### Solution Summary

Solution to the posted problem is given with step by step working and explanation so that the students could easily understand the procedure and use this solution as a model solution to solve other similar problems.

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