Hypothesis Testing Quiz

Test you knowledge in the basics of hypothesis testing with this simple objective type quiz

Keywords

inferencial statistics, what is inferencial statistics, chi-square, chi-square test, normal distribution, standard normal, p-value, z-value, hypothesis testing, anova

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1. What is the primary purpose of inferential statistics?
   • A. To describe the main features of a dataset
   • B. To draw conclusions about a population based on a sample
   • C. To organize and summarize data
   • D. To determine the reliability of data
2. Which of the following is an example of a parameter?
   • A. Sample mean
   • B. Sample standard deviation
   • C. Population mean
   • D. Sample variance
3. Which statistical test is used to compare the means of two independent groups?
   • A. Paired t-test
   • B. Independent t-test
   • C. ANOVA
   • D. Chi-square test
4. A Type I error occurs when:
   • A. A true null hypothesis is incorrectly rejected
   • B. A false null hypothesis is incorrectly rejected
   • C. A true null hypothesis is incorrectly accepted
   • D. A false null hypothesis is incorrectly accepted
5. The p-value represents:
   • A. The probability that the null hypothesis is true
   • B. The probability of observing the data, or something more extreme, assuming the null hypothesis is true
   • C. The probability of making a Type I error
   • D. The power of the test
6. Which of the following is true about the confidence interval?
   • A. It provides the exact value of the population parameter
   • B. It indicates the range within which the sample mean will fall 95% of the time
   • C. It provides a range of values within which the population parameter is likely to fall
   • D. It determines the sample size needed for a study
7. What is the central limit theorem?
   • A. The distribution of sample means will be approximately normally distributed, regardless of the distribution of the population, given a sufficiently large sample size
   • B. The sum of a large number of independent and identically distributed random variables will be approximately normally distributed
   • C. The probability distribution of a continuous random variable will be normal if the sample size is large enough
   • D. The mean of a large sample will equal the mean of the population
8. When should you use a chi-square test?
   • A. To compare the means of more than two groups
   • B. To test the association between two categorical variables
   • C. To compare the variances of two samples
   • D. To analyze the relationship between a continuous and a categorical variable
9. If the 95% confidence interval for a mean difference includes zero, what does this imply?
   • A. The difference is statistically significant
   • B. The null hypothesis cannot be rejected
   • C. The sample size is too small
   • D. The p-value is less than 0.05
10. The power of a statistical test is:
    • A. The probability of rejecting the null hypothesis when it is true
    • B. The probability of accepting the null hypothesis when it is false
    • C. The probability of rejecting the null hypothesis when it is false
    • D. The probability of making a Type I error
11. In hypothesis testing, the null hypothesis is:
    • A. A statement of no effect or no difference
    • B. A statement that there is an effect or a difference
    • C. Always the hypothesis that the researcher wants to prove
    • D. Less important than the alternative hypothesis
12. The sample statistic that is most commonly used to estimate a population parameter is called:
    • A. Estimator
    • B. Point estimate
    • C. Confidence interval
    • D. Hypothesis
13. Which method is used to determine the sample size for a study?
    • A. Power analysis
    • B. T-test
    • C. Chi-square test
    • D. Correlation coefficient
14. The F-test in ANOVA is used to:
    • A. Test for the equality of two variances
    • B. Test for the equality of three or more means
    • C. Test for the equality of proportions
    • D. Test for independence between two categorical variables
15. Which of the following is true regarding the normal distribution?
    • A. It is skewed to the right
    • B. It is defined by its mean and standard deviation
    • C. It can only take on positive values
    • D. It is bimodal

Correct Answers

1. B
2. C
3. B
4. A
5. B
6. C
7. A
8. B
9. B
10. C
11. A
12. B
13. A
14. B
15. B

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