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500 câu trắc nghiệm Kinh tế lượng – 10B

Tổng hợp 500 câu trắc nghiệm + tự luận Kinh tế lượng (Elementary Statistics). Tất cả các câu hỏi trắc nghiệm + tự luận đều có đáp án. Nội dung được khái quát trong 13 phần, mỗi phần gồm 3 bài kiểm tra (A, B, C). Các câu hỏi trắc nghiệm + tự luận bám rất sát chương trình kinh tế lượng, đặc biệt là phần thống kê, rất phù hợp cho các bạn củng cố và mở rộng các kiến thức về Kinh tế lượng. Các câu hỏi trắc nghiệm + tự luận của phần 10B bao gồm:

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
1) Describe a goodness-of-fit test. What assumptions are made when using a goodness-of-fit test?
A goodness-of-fit test is used to test the hypothesis that an observed frequency distribution fits some claimed distribution. The assumptions are 1) the sample data are randomly selected and the data consist of frequency counts for the different categories; and 2) for each of the categories, the expected frequency is at least 5.
2) Describe the null hypothesis for the test of independence. List the assumptions for the \({\chi ^2}\) test of independence. What is the major difference between the assumptions for this test and the assumptions for the previous tests we have studied?

Perform the indicated goodness-of-fit test.

The null hypothesis is that the row and column variables in a contingency table are independent; that is, they are not related. The assumptions are 1) the null hypothesis is that the row and column variables are independent while the alternate hypothesis is that the row and column variables are dependent; 2) the sample data are randomly selected; and 3) each cell in the contingency table has an expected frequency E of at least 5. The major difference is that these assumptions do not require that the parent population be normally distributed.

3) In studying the occurrence of genetic characteristics, the following sample data were obtained. At the 0.05 significance level, test the claim that the characteristics occur with the same frequency.

Characteristic A B C D E F
Frequency 28 30 45 48 38 39

H0: The proportions of occurrences are all equal, p = 1/6.
H1: Those proportions are not all equal.
Test statistic: \({\chi ^2}\) = 8.263. Critical value: \({\chi ^2}\) = 11.071. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the characteristics occur with the same frequency.

4) You roll a die 48 times with the following results.

Number 1 2 3 4 5 6
Frequency 2 14 13 3 14 2

Use a significance level of 0.05 to test the claim that the die is fair.

H0: The die is fair (all numbers occur with equal frequency).
H1: The die is not fair.
Test statistic: \({\chi ^2}\) = 24.25. Critical value: \({\chi ^2}\) = 11.071. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the die is fair.

Use a \({\chi ^2}\) test to test the claim that in the given contingency table, the row variable and the column variable are independent.
5) Responses to a survey question are broken down according to gender and the sample results are given below. At the 0.05 significance level, test the claim that response and gender are independent.

Yes No Undecided
Male 25 50 15
Female 20 30 10

H0: Gender and response are independent.
H1: Gender and response are dependent.
Test statistic: \({\chi ^2}\) = 0.579. Critical value: \({\chi ^2}\) = 5.991.
Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that response and gender are independent