Introduction to Hypothesis Testing Answers

• Type I error: The manager convincing evidence that 2% of the shirts are defective, when the true proportion really is 2%. • Consequence: The manager will: and and therefore .

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• Type II error: The manager convincing evidence that 2% of the shirts are defective, when the true proportion really is more than 2%. • Consequence: The manager will: when the machines .

• Type I error: The program convincing evidence that the student understands 90% of the material, when she really does not. • Type II error: The program convincing evidence that she understands 90% of the material, when she really does.

Malcolm wants to testH0: p = 0.674Ha: p < 0.674where p = the true proportion of all adults who go to the dentist regularly using the α = 0.05 significance level.Based on the results of the simulation the estimated P-value of this test is

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Jeremy wants to testH0: p = 0.75Ha: p < 0.75where p = the true proportion of all flips of this penny that land heads up using the α = 0.01 significance level. Based on the results of the simulation the estimated P-value of this test is

Malcolm wants to test H0: p = 0.674 Ha: p < 0.674 where p = the true proportion of all adults who go to the dentist regularly using the α = 0.05 significance level. Because the P-value α = 0.05, he should H0. Malcolm convincing evidence that the true proportion of all adults who go to the dentist regularly is 0.674.

Roman wants to testH0: p = 0.5Ha: p > 0.5where p = the true proportion of all babies who are longer than 20 inches, using the α = 0.01 significance level. What conclusion should Roman draw?

Jeremy wants to test H0: p = 0.75 Ha: p < 0.75 where p = the true proportion of all flips of this penny that land heads up using the α = 0.01 significance level. Because the P-value α = 0.01, he should H0. Jeremy convincing evidence that the true proportion of all flips of this penny that land heads up is 0.75.

less thanapproximatelyexactly✔ more than

less thanapproximatelyexactly✔ more than

reject✔ fail to reject

stop production✔ continue production

finds✔ does not find