Test whether each color has the same proportion Show all fiv

Test whether each color has the same proportion. Show all five steps of this test at the 10% level of signigicance.

Blue=15, Orange=14, Green=10 Yellow=11, Red=4, Brown=6 so the total is 60

Solution

H0: All colours have the same proportion

Ha: ATleast two colours have different proportion

(Two tailed chi square test)

Total = 60

If null hypothesis is true, expected for each colour = 1/6(60) = 10

Prepare contingency table for chi square:

Degree of freedom = 5

p value = 0.0672

As p value <0.10, at 10% level reject null hypothesis.

There is no evidence to prove the claim that all colours have the same proportion.