When Chi-square distribution is used as a test of independence, the number of degrees of freedom is related to both the number of rows and the number of columns in the contingency table.
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A goodness of fit test can be used to determine if membership in categories of one variable is different as a function of membership in the categories of a second variable
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To use Chi-square distribution in goodness of fit test, all observed frequecies have to be at least 5.
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Assume a random sample is selected and you were asked to determine whether the data came from a normally distributed population. Your states hypotheses would be:
H0:The population does not have normal distribution.
Ha:The population has a normal distribution.
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Q.1 True
Q.2 False
Q.3 False
Q.4 False
When Chi-square distribution is used as a test of independence, the number of degrees of freedom...
a) true b) false 42. For a chi-square distributed random variable with 10 degrees of freedom and a level of sigpificanoe computed value of the test statistics is 16.857. This will lead us to reject the null hypothesis. a) true b) false 43. A chi-square goodness-of-fit test is always conducted as: a. a lower-tail test b. an upper-tail test d. either a lower tail or upper tail test e. a two-tail test 44. A left-tailed area in the chi-square distribution...
When we carry out a chi- square goodness-of-fit test for a normal distribution, the null hypothesis states that the population Does not have a normal distribution Has a normal distribution Has a chi-square distribution Does not have a chi-square distribution Has k-3 degrees of freedom
A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories, and a chi-square test for independence is used to examine the distribution of individuals in a 2×3 matrix of categories. Which test has the larger value for df? a. The test for independence b. Both tests have the same df . c. The df value depends on the sizes of the samples that are used. d. The test for goodness of fit
When we carry out a chi-square goodness-of-fit test for a normal distribution, the null hypothesis states that the population: a) does not have a normal distribution. b) has a normal distribution. c) has a chi-square distribution. d) does not have a chi-square distribution. e) has k − 3 degrees of freedom.
The chi-square goodness of fit test can be used when: Select one: a. We conduct a multinomial experiment. b. We perform a hypothesis test to determine if a population has a normal distribution. c. We perform a hypothesis test to determine if two population variances significantly differ from each other. d. We conduct a binomial experiment. The x statistic from a contingency table with 6 rows and five columns will have Select one: a. 24 degrees of freedom b. 50...
The shape of which distribution is not controlled by the degrees of freedom? F t Which of the following accurately represents characteristics of the x2 distribution? There may be more than one correct answer, select all that are correct. The degrees of freedom for a Chi-square test of independence are k-1. As the degrees of freedom increase, the critical value of the chi-square distribution becomes larger. | It can assume both negative and positive values. The Chi-square goodness-of-fit test is...
The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees of freedom provided that the expected frequencies for all categories are a. 10 or more. b. k or more. c. 2k. d. 5 or more.
The number of degrees of freedom in a chi-square goodness of fit test depends upon: (1) the number of classes into which the sample observations are classified; (2) the number of observations in the sample; (3) the number of population parameters estimated from the sample data. a. 1 only b. 2 only c. 1 and 2 only d. 1 and 3 only e. none of the above
The Chi-Square Table (Chapter 17) The chi-square table: The degrees of freedom for a given test are listed in the column to the far left; the level of significance is listed in the top row to the right. These are the only two values you need to find the critical values for a chi-square test. Increasing k and a in the chi-square table Record the critical values for a chi-square test, given the following values for k at each level...
The Chi square test is used to (select all that apply): Test for association between two categorical variables O Compare a categorical variable across two independent samples a Test a single categorical variable for goodness-of-fit to a proposed distribution None of the above