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Chi-square independence

100

How to calculate the degrees of freedom?

df=(n-1)(c-1)

200

Calculate the degrees of freedom from the table.

4

300

Calculate the p-value 

(Problem 1, CHI SQUARE AND GOF)

https://www.toolshero.com/research/contingency-table/

0.14170815

400

Establish the null and alternative hypotheses of the problem

Ho: The TYPE OF SOFT DRINK is independent of the type of snack

H1: The TYPE OF SOFT DRINK is not independent of the type of snack

500

If the p-value is 0.0201 give the conclusion for the test at 5% of significance level

The Ho is rejected. H1 is accepted

GOF

100

How to calculate the degrees of freedom?

df= n-1

200

Plot a chi-square graph

300

From problem 15, write down the null and alternative hypotheses of the test

https://docs.google.com/document/d/15ay5IeayoZctQ3_9ayew5eAP6xXXJot8/edit

Ho: The running time of the movies can be modelled by N(88, 6.75)

H1: The running time of the movies cannot be modelled by N(88, 6.75)

400

Calculate the missing expected frequencies of the distribution (a and b)

https://docs.google.com/document/d/15ay5IeayoZctQ3_9ayew5eAP6xXXJot8/edit

a= 57.6 and b=30.0

500

Perform and State the conclusion for the test at 5% of significance level

https://docs.google.com/document/d/15ay5IeayoZctQ3_9ayew5eAP6xXXJot8/edit

df=4, p=0.0166, Ho is rejected