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AP Statistics Hypothesis Testing — practice questions

Explore 21 free Hypothesis Testing questions in AP Statistics Statistics. Open each question or exercise to read its content, reference answers and available explanation.

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Hypothesis Testing questions and exercises with answers

Showing questions 1–21 of 21.

A hypothesis test always sets up how many competing hypotheses?Read the answer and worked solution →The two hypotheses in a test are the alternative hypothesis and the:Read the answer and worked solution →The actual probability of getting the observed test result is called the:Read the answer and worked solution →Rejecting the null hypothesis when it is actually true is called:Read the answer and worked solution →Failing to reject the null hypothesis when it is actually false is called:Read the answer and worked solution →The statistician's decision after analysing the data is whether there is sufficient evidence to:Read the answer and worked solution →Analysing the sample data allows you to reject or:Read the answer and worked solution →Besides the p-value, a calculator running a test also reports the:Read the answer and worked solution →A significance level of 2.5 percent means the researcher accepts what chance of a Type I error?Read the answer and worked solution →Writing the alternative hypothesis as the population mean being less than 16.43 makes the test:Read the answer and worked solution →A hypothesis test about whether a bench press mean exceeds 275 pounds has an alternative that is:Read the answer and worked solution →A small p-value counts as evidence against the null because it says the observed result would be:Read the answer and worked solution →Comparing a p-value of 0.0187 with a 2.5 percent significance level, the decision is to:Read the answer and worked solution →The two error types differ in which hypothesis is actually true, so a Type I error occurs only when the null is:Read the answer and worked solution →The test statistic reported alongside the p-value for a sample mean is a:Read the answer and worked solution →A hypothesis test is conducted at a significance level that is chosen:Read the answer and worked solution →Type I or Type II error?Read the answer and worked solution →Run a hypothesis test in orderRead the answer and worked solution →Match each testing termRead the answer and worked solution →True or false: hypothesis testingRead the answer and worked solution →Complete the decision ruleRead the answer and worked solution →

Worked practice questions

A hypothesis test always sets up how many competing hypotheses?

  1. Two of them
  2. One of them
  3. Three of them
  4. Four of them
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Correct answer: A. Two of them

1. A test compares one claim about the population against its rival. 2. They are called the null hypothesis and the alternative hypothesis. 3. The data are then used to decide between them. 4. A single hypothesis on its own could never be rejected in favour of anything. _Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 9 'Hypothesis Testing with One Sample', sections 9.1-9.6_

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The two hypotheses in a test are the alternative hypothesis and the:

  1. Neutral hypothesis
  2. Null hypothesis
  3. Sample hypothesis
  4. Random hypothesis
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Correct answer: B. Null hypothesis

1. The pair of hypotheses have fixed names in statistical practice. 2. They are called the null hypothesis and the alternative hypothesis. 3. The null is the claim of no effect or no difference that the test tries to overturn. 4. The alternative is what the researcher suspects may be true instead. _Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 9 'Hypothesis Testing with One Sample', sections 9.1-9.6_

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The actual probability of getting the observed test result is called the:

  1. The mean value
  2. The sample size
  3. The p-value
  4. The z-score
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Correct answer: C. The p-value

1. The strength of the evidence is expressed as a single probability. 2. Use the sample data to calculate the actual probability of getting the test result. 3. That probability is called the p-value. 4. A z-score is the standardised test statistic rather than the probability itself. _Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 9 'Hypothesis Testing with One Sample', sections 9.1-9.6_

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