What statistical test should you conduct if you would like to test the equality

Question

What statistical test should you conduct if you would like to test the equality of population proportions for more than 2 populations? a. x^2 test b. ANOVA (F test) Four different paints arc advertised as having the same drying time. To check the manufacturer's claims, four samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. Using the ANOVA procedure, the researcher would like to see whether the mean drying time is the same for each type of paint. The following shows the incomplete ANOVA table. Please fill the five cells with thick boarders using a = .05. You can give a range for p-value if you can't find the exact p-value from the distribution table.

Explanation / Answer

MS between groups = SS between groups/DF = 330/3 = 110

MS within groups = SS within groups/df = 692/16 = 43.25

F=MS between/MS within = 110/43.25 =2.5433

P-value at 0.05 level of significance and 3,16 degrees of freedom = 0.09276

F critical at 0.05 level of significance and 3,16 degrees of freedom = 3.2389

We accept null hypothesis since F is less than F critical value

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