Two years ago a study to determine the pizza best liked by students at a certain

Question

Two years ago a study to determine the pizza best liked by students at a certain college was conducted, and it was found that 35% of all students at this college preferred pizza 1,25% chose pizza 2,20% selected pizza 3, and the rest selected pizza 4. To see if the preferences have changed,180students were randomly selected and asked to indicate their pizza preferences. The results showed that 40selected pizza 3,31 chose pizza 4,76 students preferred pizza 1, and the remainder selected pizza 2. Do the data indicate that the preferences today differ from those from the last study? Use significance level

=0.05.

Calculate the test statistic

Determine the critical value

Explanation / Answer

from above

test stat X2 =7.0214

and critical value for 3 degree of freedom and 0.05 level =7.8147

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E 1 0.35 76.00 63.00 2.68 2 0.25 33.00 45.00 3.20 3 0.20 40.00 36.00 0.44 4 0.20 31.00 36.00 0.69 180 180 7.021

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