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500 câu trắc nghiệm Kinh tế lượng – 8C

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 8C bao gồm:

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
s12

1) The test statistic for testing a hypothesis about two variances is \(F = \frac{{s_1^2}}{{s_2^2}}\) where \({s_1^2 > s_2^2}\).

Describe the numeric possibilities for this test statistic. Explain the circumstances under which the conclusion would be either that the variances are equal or that the variances are not equal.

The value for the test statistic F will be 1 or greater. If the value is reasonably close to 1, the conclusion is that the two variances are equal. If the value is significantly greater than 1, the conclusion is that the two variances are not equal.

2) Describe the process for testing a hypothesis about two means when the random
samples are independent and large. Compare this process to the methods of hypothesis testing for one mean in Chapter 7.

When the samples are independent, the differences between the sample means, \({{\bar x}_1} – {{\bar x}_2}\) is computed.
The process proceeds exactly like the process in Chapter 7 for testing hypotheses about one mean with
the z-distribution. The test statistic is \(t = \frac{{\left( {{{\bar x}_1} – {{\bar x}_2}} \right) – \left( {{\mu _1} – {\mu _2}} \right)}}{{\sqrt {\frac{{s_1^2}}{{{n_1}}} + \frac{{s_2^2}}{{{n_2}}}} }}\)

The hypotheses are H0: \({{\mu _1}}\) – u2 = 0.

H1: \({{\mu _1}}\) – u2 ≠ 0. The process includes drawing the distribution, shading the reject region(s), finding the critical values, computing the test statistic, rejecting or failing to reject the null hypothesis, and writing the conclusion.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the number of successes x suggested by the given statement.
3) Among 740 people selected randomly from among the eligible voters in one city, 55.5% were homeowners
○ 416
○ 415
● 411
○ 407

From the sample statistics, find the value of p used to test the hypothesis that the population proportions
are equal.
4) n1 = 256 x1 = 80 n2 = 421 x2 = 50
● 0.192
○ 0.134
○ 0.096
○ 0.173

Compute the test statistic used to test the null hypothesis that p1 = p2.
5) Information about movie ticket sales was printed in a movie magazine. Out of fifty PG-rated movies, 36% had ticket sales in excess of $3,000,000. Out of thirty-five R-rated movies, 23% grossed over $3,000,000.
○ 3.965
○ 2.558
○ 2.046
● 1.279

Find the appropriate P-value to test the null hypothesis, H0: p1 = p2, using a significance level of 0.05.
6) n1 = 200 x1 = 11 n2 = 100 x2 = 8
○ .0012
● .4010
○ .0201
○ .1011