Question

Identify each of the following statements as either true of false.

a)     FalseTrueClick for List    If the null hypothesis is false, then large differences between the observed and expected values may exist.

b)     FalseTrueClick for List    In a one-way table, each observed value can fall into only one of the given classifications.

c)     FalseTrueClick for List    To determine the expected frequency for each cell, we multiply the total number of observations by the probability of an observation being in that particular cell.

d)     TrueFalseClick for List    If the null hypothesis is true, the chi-square test statistic will follow a chi-square distribution with k degrees of freedom, where k is the number of categories.

e)     FalseTrueClick for List    For goodness-of-fit tests, if the chi-square test statistic is greater than 1 then there is significant evidence against the null hypothesis.

Answer 1

From the given information,

The required correct answers are,

a. True

b. True

c. False, Because to find expected frequency for each cell we multiply row total and column total of corresponding cell and divide it by total number of observations.

d. False, because If the null hypothesis is true, the chi-square test statistic will follow a chi-square distribution with k-1 degrees of freedom, where k is the number of categories.

e. False, because  For goodness-of-fit tests, if the chi-square test statistic is greater than critical chi-square value then there is significant evidence against the null hypothesis.

Thank you.