Question

1. We want to test that the true proportion of American's that recycle is greater than 40%. What type of test should we use?

A.Two sample z-test

B.Single sample t-test

C.Single sample z-test

D. ANOVA

2.How large does a contingency table need to be for statistical analysis?

at least 2 rows, 2 columns (2x2)

at least 2x3

at least 4x2

at least 10x10

3.To use regression analysis, the data type for the variables that are required are

A.Both discrete

B. independent variable is discrete, dependent variable is continuous

C. Independent variable is continuous, dependent variable is discrete

D.Both continuous

Answer 1

1) To test that the true proportion of American's that recycle is greater than 40%., one can use (C) Single-Sample Z test because there is a proportion p=0.40 and t-test can not be applied for testing the sample proportion. ANOVA is used to test the several means but there is a proportion. So, only Z-test can be used.

2) We should require (a) at least (2*2) contingency table need to be for statistical analysis because we know in case of contingency table degree of freedom is obtained as (r-1)*(k-1) where r is the number of rows & k is the number of the column which can be obtained for at least 2 rows & 2 column.

3) To use regression analysis, the data type for the variables that are required are (D) both continuous. In most of the cases, we fit a regression model for continuous data. For e.g. We fit a regression model between height & weight which is a continuous random variable.