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1. The chi-square test is designed for use when observations are classified acco

ID: 3224927 • Letter: 1

Question

1. The chi-square test is designed for use when observations are classified according to (THE ANSWER IS NOT A)

a) frequencies

b) magnitude

c) categories

d) numerical value

2. The null hypothesis should be rejected if the observed chi-square (THE ANSWER IS NOT A)

a) exceeds the critical chi-square

b) equals or exceeds the critical chi-square

c) is exceeded by the critical chi-square

d) equals or is exceeded by the critical chi-square

3. When data are quantitative and all assumptions appear to be satisfied, the t and F tests are preferred to the U, T, and H tests because the former tests (THE ANSWER IS NOT A)

a) minimize the probability of a type I error

b) minimize the probability of a type II error

c) are more readily understood

d) are more readily calculated

Explanation / Answer

1. Option c is correct.

That is Chi-square test is designed for use when observations are classified according to categories.Because when the variables are categorical with 2 and more than 2 groups , then Chi-square test of independance to test relation , goodness of fit test to test normality are designed for categorical variables only.

2. Option c is correct.

That is the null hypothesis is rejected if te observed chi0square is exceeded by the critical chi-square. Because as the chi-square distribution is right skewed , the rejection region is on right side and at the point where critical region starts is the critical value, So if observed chi-square test statistics exceeded by critical we reject null hypothesis.

3.Option is c correct.

When the data are quantitative and all assumptions are satisfied then t and F tests are preferred to the U, T and H tests because the former tests are more readily understood.Because the test statistics is easy to compute , all the five steps that is writing hypothesis, decision rule , test statistics, taking decision and writing conclusion all are easy to understood.