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. |
We can apply goodness of fit test if expected frequencies are greater than or equal to 5 and the total of cell frequencies is greater than 50
Ans. d. 5 or more
The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees...
In performing a chi-square goodness-of-fit test for a normal distribution, a researcher wants to make sure that all of the expected cell frequencies are at least five. The sample is divided into 7 intervals. The second through the sixth intervals all have expected cell frequencies of at least five. The first and the last intervals have expected cell frequencies of 1.5 each. After adjusting the number of intervals, the degrees of freedom for the chi-square statistic is O 2 3...
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...
For a multinomial experiment with k categories, the goodness-of-fit test statistic is assumed to follow a chi-square distribution with n-1 degrees of freedom. True False
In performing a chi-square goodness-of-fit test for a normal distribution, a researcher wants to make sure that all of the expected cell frequencies are at least five. The sample is divided into 7 intervals. The second through the sixth intervals all have expected cell frequencies of at least five. The first and the last intervals have expected cell frequencies of 1.5 each. After adjusting the number of intervals, the degrees of freedom for the chi-square statistic is ____. 2, 3,5,...
5. The chi-square test for goodness of fit - No difference from a known population Aa Aa Suppose you are reading a study conducted in the year 2000 about welfare recipients in the United States. The authors report the following frequency data on the household size of the 2,352 welfare recipients in their random sample: Observed Frequencies Household Size 5-or-more-person 4-person 3-person 2-person 1-person 282 753 588 400 329 You wonder if welfare recipients tend to live in different-sized households...
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.
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...
Which of the statements are correct? A condition for using the chi-square goodness-of-fit test is that all expected counts must be at least two. A condition for using the chi-square goodness-of-fit test is the observations are based on a random sample. The chi-square goodness-of-fit test uses n − 5 degrees of freedom. A) I only B) II only C) I and II only D) II and III only E) I, II, and III
11.2 You intend to conduct a goodness-of-fit test for a multinomial distribution with 7 categories. You collect data from 74 subjects. What are the degrees of freedom for the x2 distribution for this test? d.f. = Submit License Question 1. Points possible: 1 Unlimited attempts. You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: Ho:PA = 0.2; PB = 0.3; pc = 0.3; PD = 0.2...
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