Chapter Exam

Chapter 1: Tests of Significance – Basic Concepts and Large Sample Tests — Online MCQ Test

Q: In hypothesis testing, the statement that is initially assumed to be true is called the ______.

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.

Q: A Type I error occurs when we ______.

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).

Q: If the calculated value of Z is greater than the critical value in a right-tailed test, then we usually ______ H0.

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.

Q: 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.

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.

Q: A sample of 100 items shows 58 successes. To test whether the population proportion is 0.5, the correct test statistic is closest to ______.

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.

STATISTICS · CLASS 12th · Tamil Nadu State Board

Practice Chapter 1: Tests of Significance – Basic Concepts and Large Sample Tests with a free chapter-wise online MCQ test for Tamil Nadu State Board CLASS 12th STATISTICS. 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.... AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 1: Tests of Significance – Basic Concepts and Large Sample Tests — Important Questions & Answers (FAQ)

Frequently asked questions from Tamil Nadu State Board CLASS 12th STATISTICS — Chapter 1: Tests of Significance – Basic Concepts and Large Sample Tests, with answers and explanations. These are sample questions; the exam has its own separate question set.

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.

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).

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.

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.