Eighty frat rats were blindfolded and given a taste test on different brands of

Question

Eighty frat rats were blindfolded and given a taste test on different brands of beer. The table below shows the beer brands preferred. Test to see if the data fits a uniform distribution (i.e., what would happen if the Frat Rats can't tell one beer from another). Use 5% level of significance.

Using the attached data answer the following

1 - what is your hypothesis testing

2 - what is your x2

3 - is the x2 value significant at 5% significance level

4 - write the conclusion for this question

Beer brand #of preferring that brand bud light coors light molton golden miller light 32 18 14 16

Explanation / Answer

1 - what is your hypothesis testing?

Null HYpothesis : H0 : There is no significant diference between customers among the given 4 brands.

Alternative Hypothesis : Ha : There is significant difference between customers among the given 4 brands.

2 - what is your x2

Here i am giving value of Observed and expectred table

X2 critical = 10

3 - is the x2 value significant at 5% significance level?

X2critical at alpha = 0.05 and dF = 4-1 = 3 is X20.05,3 = 7.815

4 - write the conclusion for this question

Here X2 > X2critical so we can reject the null hypothesis and can conclude that there is significant diference between customers preferences among the given 4 brands.

Beer Brand Number preferring brand observed (oi) Number preferring brand Expected (Ei) (oi - Ei)^2 (oi - Ei)^2/Ei bud light 32 20 144 7.2 coors light 18 20 4 0.2 molten golden 14 20 36 1.8 miller light 16 20 16 0.8 80 10

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