Question: Is it reasonable to conclude there is no preference among these four items? Test at 0.05 significance level. Item Observed Selection Expected Selection A 32

Is it reasonable to conclude there is no preference among these four items?

Test at 0.05 significance level.

Item Observed Selection Expected Selection
A 32 30
B 24 30
C 35 30
D 29 30

Step 1. State Hypothesis

Ho: There is no difference in proportion of selection of each item

Ha: There is a difference in proportion of selection of each item

Step 2. Select the Level of Significance

In this case = 0.05

Step 3. Select Test Statistic

Select Chi-square

Step 4. State the Decision Rule

If the Chi-square p value is greater than the critical value then Ho should be rejected

Step 5. Calculate Critical Value

CHISQ.INV.RT (probability, deg.freedom)

= CHISQ.INV.RT(0.05,3) =

Step 6. Calculate Chi-square p value

Formulas to More Functions to Statistical to Chisq.Test

Returns p-value

Step 7. Apply the decision rule to draw your conclusions.

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