Which of the following statements about r × c tables is/are FALSE?
A)The null hypothesis is tested using the chi-square statistic with (r - 1)(c - 1)degrees of freedom.
B)The statistic used to test the null hypothesis is denoted by .
C)The P-value for the test is P( ),where is a random variable having the (df)distribution with df = (r - 1)(c - 1).
D)Under the null hypothesis the statistic has approximately a chi-square distribution with (r - 1)(c - 1)degrees of freedom.
E)The chi-square approximation is adequate when the average expected cell count is 5 or greater and all individual expected counts are 1 or greater,except in the case of 2 × 2 tables.

Question

Which of the following statements about r × c tables is/are FALSE?
A)The null hypothesis is tested using the chi-square statistic with (r - 1)(c - 1)degrees of freedom. 
B)The statistic used to test the null hypothesis is denoted by . 
C)The P-value for the test is P( ),where is a random variable having the (df)distribution with df = (r - 1)(c - 1). 
D)Under the null hypothesis the statistic has approximately a chi-square distribution with (r - 1)(c - 1)degrees of freedom. 
E)The chi-square approximation is adequate when the average expected cell count is 5 or greater and all individual expected counts are 1 or greater,except in the case of 2 × 2 tables.

Quizplus · Accepted Answer

The statistic used to test the null hypothesis in r x c tables is the chi-square statistic denoted by X^2, not the code given in choice B. Therefore, statement B is false. The other statements are true: A) The null hypothesis is tested using the chi-square statistic with (r - 1)(c - 1)degrees of freedom. C) The P-value for the test is P(X^2), where X^2 is a random variable having the chi-square distribution with df = (r - 1)(c - 1). D) Under the null hypothesis the X^2 statistic has approximately a chi-square distribution with (r - 1)(c - 1)degrees of freedom. E) The chi-square approximation is adequate when the average expected cell count is 5 or greater and all individual expected counts are 1 or greater, except in the case of 2 × 2 tables.

Which of the Following Statements About R × C Tables