Hypothesis tests & confidence intervals worksheet with answers

Free printable Hypothesis tests & confidence intervals worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
−1.9601.96z = ?

A company claims that a proportion of 0.8 of its customers are satisfied. In a random survey of 120 customers, 92 say they are satisfied. Find the test statistic z for H₀: p = 0.8.

p₀ = 0.8n = 120x = 92
z =
2.Easy
−1.79p = ?

A z test of H₀: μ = μ₀ against H₁: μ < μ₀ gives the test statistic z = −1.79. Find the p-value p.

z = −1.79H₁: μ < μ₀
p =
3.Medium
1.06p = ?

The mean of a population is claimed to be 250; the population standard deviation is known to be 18. A random sample of 144 observations has a mean of 251.59. Test H₀: μ = 250 against H₁: μ > 250. Find the p-value p.

μ₀ = 250σ = 18n = 144x̄ = 251.59H₁: μ > μ₀
p =
4.Medium
t −2.0302.03

A sample of 36 students has a mean score of 122.8 and a sample standard deviation of 8. Find the test statistic t for H₀: μ = 120.

μ₀ = 120x̄ = 122.8s = 8n = 36
t =
5.Hard
−1.961.96z = ?

In a trial, 100 of 250 patients on treatment A recover, and 120 of 250 patients on treatment B. Using the pooled proportion, find the test statistic z for H₀: p₁ = p₂.

x₁ = 100n₁ = 250x₂ = 120n₂ = 250
z =
6.Hard
−1.961.96z = ?

In a trial, 60 of 120 patients on treatment A recover, and 54 of 150 patients on treatment B. Using the pooled proportion, find the test statistic z for H₀: p₁ = p₂.

x₁ = 60n₁ = 120x₂ = 54n₂ = 150
z =

Answer key

  1. 1. z = −0.9129
  2. 2. p = 0.03673
  3. 3. p = 0.1446
  4. 4. t = 2.1
  5. 5. z = −1.802
  6. 6. z = 2.314

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