Two years ago a study to determine the pizza best liked by students at a certain
ID: 3219334 • Letter: T
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
The test statistic is 2 = 7.02
= 0.05
Count = 4
Degrees of freedom = 4 - 1 = 3
Critical Value of 2 = 7.814727764
Since 7.02 < 7.81, we fail to reject Ho
The data do not indicate that the preferences today differ from those from the last study.
Test Statistic: Recorded Expected (Recorded - Expected)^2 / Expected 76 63 2.682539683 33 45 3.2 40 36 0.444444444 31 36 0.694444444 2 = 7.021428571Related Questions
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