A regional highway uses 8 tollbooths that are open to all vehicles. A chi-square goodness-of-fit test using a significance level of α=0.05 was conducted to determine whether the tollbooths are all used in equal proportions. A chi-square value of χ2=19.1 was calculated with a corresponding p-value of 0.008. Which of the following is correct?
a. There is insufficient evidence to suggest that the tollbooths are not used in equal proportions.
b. There is insufficient evidence to suggest that the tollbooths are used in equal proportions.
c. There is sufficient evidence to suggest that the tollbooths are not used in equal proportions.
d. There is sufficient evidence to suggest that the tollbooths are used in equal proportions.
e. The tollbooths are used in equal proportions.
A regional highway uses 8 tollbooths that are open to all vehicles. A chi-square goodness-of-fit test...
Assume that a Chi-square test was conducted to test the goodness of fit to a 3:1 ratio and that a Chi-square value of 2.62 was obtained (Table value is equal to 3.84). Should the null hypothesis be accepted? How many degrees of freedom would be associated with this test of significance?
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...
If I reject the null hypothesis of a Chi-Square Goodness-of-Fit Test, which of the following statement best summarizes my conclusion? There is sufficient evidence to conclude that the two variables are independent. There is sufficient evidence to conclude that the two variables are associated. There is not sufficient evidence to conclude that my proposed distribution does not fit the population. There is sufficient evidence to conclude that my proposed distribution does not fit the population.
A chi-square for goodness of fit hypothesis test was conducted using an alpha of .05. The resulting chi-square was as follows: X2(2, n = 30) = 4.20, p > .05. Find the critical value. What decision was made regarding the null hypothesis?
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
A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution Distribution: 0.1875, 0.1875, Observed frequencies: 16, 20, 24, 36 Significance level 0.05 0.3125, 0.3125 Determine the null and alternative hypotheses. Choose the correct answer below. OA. H: The distribution of the variable differs from...
A Chi-square goodness-of-fit test was conducted on voter preferences in a state primary (with candidates A, B, C, and D) that yielded a calculated/obtained statistic of 7.82. If you used a critical value of 6.22 to determine if the voters significantly preferred one candidate over another, what conclusion would you draw? Voters showed no significant preference Voters showed a significant preference Voters showed a significant preference for candidate A over the others Not enough information is given to be able...
A chi-square test for goodness of fit is used in a situation with n = 60 subjects distributed over three categories. The df value for this test is 02 O 3 O 58 O 59
A chi-square goodness of fit test is used to test whether dice is fair. The dice has choices from 1-20 (all the outcomes are equally likely). The dice is rolled 50 times and the outcomes recorded. What are the degrees of freedom for the chi-square test? O 1 0 49 18 0 48 O 19
A die was rolled 600 times with the following results. Use the Chi-square Goodness of Fit Test to test whether the die is balanced. Use a significance level of 0.05. Give the null and alternative hypotheses, test statistic value, decision rule, and p-value. value 1 2 3 4 5 6 Frequency 87 96 108 89 122 98