Chapter 1: Tests of Significance – Basic Concepts and Large Sample Tests — Online MCQ Test
STATISTICS · CLASS 12th · Tamil Nadu State Board
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This chapter covers: This chapter introduces statistical hypothesis testing parameter estimation null and alternative hypotheses type I and type II errors. Students master large sample tests for means....
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Chapter 1: Tests of Significance – Basic Concepts and Large Sample Tests — Important Questions & Answers
In hypothesis testing, the statement that is initially assumed to be true is called the ______.
- A. alternative hypothesis
- B. null hypothesis
- C. critical hypothesis
- D. sample hypothesis
Answer: B. null hypothesis
The null hypothesis is the statement taken as true at the start of a test. It is usually denoted by H0.
The null hypothesis is the statement taken as true at the start of a test. It is usually denoted by H0.
A Type I error occurs when we ______.
- A. accept a false null hypothesis
- B. reject a true null hypothesis
- C. accept a true null hypothesis
- D. reject a false alternative hypothesis
Answer: B. reject a true null hypothesis
Type I error means rejecting H0 when H0 is actually true. Its probability is denoted by alpha (α).
Type I error means rejecting H0 when H0 is actually true. Its probability is denoted by alpha (α).
If the calculated value of Z is greater than the critical value in a right-tailed test, then we usually ______ H0.
- A. accept
- B. reject
- C. double
- D. ignore
Answer: B. reject
In a right-tailed test, the rejection region lies in the right tail. If the test statistic falls in that region, H0 is rejected.
In a right-tailed test, the rejection region lies in the right tail. If the test statistic falls in that region, H0 is rejected.
A company claims that the average lifetime of its bulbs is 1200 hours. A sample gives evidence that the mean is less than 1200 hours. This is an example of a ______ test.
- A. two-tailed
- B. left-tailed
- C. right-tailed
- D. no-tailed
Answer: B. left-tailed
If the alternative hypothesis is μ < 1200, the rejection region lies in the left tail. Hence it is a left-tailed test.
If the alternative hypothesis is μ < 1200, the rejection region lies in the left tail. Hence it is a left-tailed test.
A sample of 100 items shows 58 successes. To test whether the population proportion is 0.5, the correct test statistic is closest to ______.
- A. Z = 0.80
- B. Z = 1.60
- C. Z = 2.00
- D. Z = 0.16
Answer: B. Z = 1.60
Here p̂ = 58/100 = 0.58 and p0 = 0.5. So Z = (0.58 − 0.5)/√[(0.5)(0.5)/100] = 0.08/0.05 = 1.6.
Here p̂ = 58/100 = 0.58 and p0 = 0.5. So Z = (0.58 − 0.5)/√[(0.5)(0.5)/100] = 0.08/0.05 = 1.6.