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TEST

Supplementary Materials
University (Grade 16)
English

TEST

Instructions

Answer all the questions. Show all necessary work for calculations. Ensure clarity and conciseness in your responses.

Essential Questions

  1. Explain the importance of hypothesis testing in scientific research.
  1. How do Type I and Type II errors impact the interpretation of statistical results?

Multiple Choice Questions

  1. Which of the following best describes a p-value in hypothesis testing?
a) The probability that the null hypothesis is true b) The probability of observing data as extreme as the sample, assuming the null hypothesis is true c) The probability of a Type I error d) The confidence level of the test
  1. In a two-tailed hypothesis test, which scenario would lead you to reject the null hypothesis at the 5% significance level?
a) The test statistic falls in the central 95% of the distribution b) The p-value is greater than 0.05 c) The test statistic falls in either tail beyond the critical values d) The sample mean equals the population mean

Fill in the Blank Questions

[Word Bank: significance, null, alternative, power]
  1. The hypothesis that there is no effect or difference is called the _______ hypothesis.
  1. The probability of correctly rejecting a false null hypothesis is known as the statistical _______.

True/False Questions

  1. True or False: A smaller significance level (alpha) decreases the probability of making a Type I error.
  1. True or False: Increasing the sample size generally increases the power of a hypothesis test.

Short Answer Questions

  1. Define the concept of statistical power and explain one factor that can affect it.
  1. Describe the steps involved in conducting a hypothesis test.

Essay Questions

  1. Critically evaluate the impact of sample size on hypothesis testing outcomes and discuss how this relates to statistical significance, power, and effect size. (300-400 words)
  1. Discuss the ethical considerations in reporting and interpreting p-values in scientific studies. Provide examples of potential misuses and their consequences. (250-350 words)