Kinh tế lượngTrắc nghiệm

500 câu trắc nghiệm Kinh tế lượng – 8C

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Use the traditional method to test the given hypothesis. Assume that the samples are independent and that they have been randomly selected.
7) A researcher finds that of 1,000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble. Of 1,200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are equal.

H0: p1 = p2. H1: p1 ≠ p2.
Test statistic: z = 1.93. Critical values: z = 1.96, -1.96.
Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two proportions are equal.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Construct the indicated confidence interval for the difference between population proportions p1 – p2. Assume that the samples are independent and that they have been randomly selected.
8) In a random sample of 300 women, 48% favored stricter gun control legislation. In a random sample of 200 men, 27% favored stricter gun control legislation. Construct a 98% confidence interval for the difference between the population proportions p1 – p2.
○ 0.123 < p1 – p2 < 0.297
○ 0.126 < p1 – p2 < 0.294
○ 0.100 < p1 – p2 < 0.320
● 0.111 < p1 – p2 < 0.309

Determine whether the samples are independent or consist of matched pairs.
9) The effect of caffeine as an ingredient is tested with a sample of regular soda and another sample with decaffeinated soda.
● Independent samples
○ Matched pairs

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Test the indicated claim about the means of two populations. Assume that the two samples are independent and that they have been randomly selected.
10) Two types of engines are tested for fuel efficiency based on miles per gallon.

Brand X Brand Y
n = 31 n = 31
\({\bar x}\) = 20.9 \({\bar x}\) = 17.6
s = 1.8 s = 1.2

Refer to the sample data to test the claim that the two populations have equal means. Use a 0.05 significance level.

H0: \({\mu _1} = {\mu _2}\). H1: \({\mu _1} ≠ {\mu _2}\).
Test statistic t = 8.493. Critical values: t = 2.042, -2.042.
Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two populations have equal means.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent and that they have been randomly selected.
11) Independent samples from two different populations yield the following data. \({{\bar x}_1}\) = 193, \({{\bar x}_2}\ = 128, s1 = 27, s2 = 88. The sample size is 465 for both samples. Find the 85 percent confidence interval
for \({\mu _1} – {\mu _2}\).
○ 49 < \({\mu _1} – {\mu _2}\) < 81
● 57 < \({\mu _1} – {\mu _2}\) < 73
○ 59 < \({\mu _1} – {\mu _2}\) < 71
○ 65 < \({\mu _1} – {\mu _2}\) < 65

The two data sets are dependent. Find d to the nearest tenth.

12)

A 70 55 70 63 51
B 29 26 29 25 22

○ 46.3
○ 21.4
○ 44.5
● 35.6

Find sd.
13) Consider the set of differences between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Round to the nearest tenth.
○ 13.1
● 15.3
○ 16.2
○ 15.7

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