Statistics MCQs with Answers – Practice Online – Page 3

Question 41 Hypothesis Testing

A test gives a p-value of 0.03. At the 5% level of significance, what is the correct decision?

Correct answer A. Reject the null hypothesis

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Question 42 Hypothesis Testing

Which statement best describes a p-value?

Correct answer D. Probability of a result at least as extreme as observed, assuming H0 is true

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Question 43 Hypothesis Testing

A sample of 64 items has mean 52. If the population mean under H0 is 50 and σ = 8, what is the value of the z statistic?

Correct answer D. 2.0

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Question 44 Hypothesis Testing

A sample of 16 observations has mean 105 and standard deviation 10. Testing H0: μ = 100, what is the value of t?

Correct answer B. 2.0

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Question 45 Hypothesis Testing

How many degrees of freedom does a one-sample t-test based on 20 observations have?

Correct answer C. 19

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Question 46 Hypothesis Testing

In a pooled two-sample t-test with samples of sizes 12 and 10, how many degrees of freedom are used?

Correct answer B. 20

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Question 47 Hypothesis Testing

A chi-square test of independence uses a contingency table with 3 rows and 4 columns. How many degrees of freedom does it have?

Correct answer D. 6

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Question 48 Hypothesis Testing

A chi-square goodness-of-fit test has 6 categories and no parameters estimated from the data. What are its degrees of freedom?

Correct answer B. 5

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Question 49 Hypothesis Testing

A coin tossed 50 times gives 30 heads and 20 tails. What is the chi-square statistic for testing fairness?

Correct answer C. 2.0

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Question 50 Hypothesis Testing

A die is rolled 60 times giving faces 1 to 6 with frequencies 8, 12, 9, 11, 10 and 10. What is the chi-square statistic for testing that the die is fair?

Correct answer D. 1.0

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Question 51 Hypothesis Testing

Which of the following can never be the value of a chi-square statistic?

Correct answer B. A negative number

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Question 52 Hypothesis Testing

A t-test is preferred over a z-test for a mean mainly when which condition holds?

Correct answer A. Sample is small and population standard deviation is unknown

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Question 53 Hypothesis Testing

As the degrees of freedom increase, the t distribution approaches which distribution?

Correct answer C. Standard normal distribution

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Question 54 Hypothesis Testing

In hypothesis testing, the set of values of the test statistic that leads to rejection of H0 is called what?

Correct answer A. Critical region

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Question 55 Hypothesis Testing

In a sample of 100 voters, 60 favour a proposal. Testing H0: p = 0.5, what is the z statistic for the proportion?

Correct answer C. 2.0

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Question 56 Statistical Inference

What is the statistic called whose specific value is used to estimate a population parameter?

Correct answer A. Point estimator

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Question 57 Statistical Inference

Because E(x̄) = ____, x̄ is said to be an unbiased estimator of the population mean. Which symbol fills the blank?

Correct answer B. μ

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Question 58 Statistical Inference

Sampling error decreases when the sample size is?

Correct answer B. Increased

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Question 59 Statistical Inference

What is a particular value of a sample statistic called?

Correct answer D. Estimate

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Question 60 Statistical Inference

Estimation and hypothesis testing are the two main branches of?

Correct answer C. Statistical Inference

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