Test Bank Introductory Statistics Exploring the World Through Data 3rd Edition Ch. 8 Hypothesis Testing for Population Proportions 8.1 The Essential Ingredients of Hypothesis Testing 1 Identify Null and Alternative Hypotheses MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) Read the following problem description then choose the correct null and alternative hypothesis. A new drug is being tested to see whether it can reduce the rate of asthma attacks in children ages 5 to 14. The rate of asthma attacks in the population of concern is 0.0744. A) H0: p = 0.0744; Ha: p > 0.0744 C) H0: p < 0.0744; Ha: p < 0.0744 B) H0: p = 0.0744; Ha: p < 0.0744 D) H0: p > 0.0744; Ha: p ≠ 0.0744 Answer: B 2) Read the following problem description then choose the correct null and alternative hypothesis. A new drug is being tested to see whether it can reduce the rate of food-related allergic reactions in children aged 1 to 3 with food allergies. The rate of allergic reactions in the population of concern is 0.03. A) H0: p < 0.03; Ha: p = 0.03 C) H0: p = 0.03; Ha: p > 0.03 B) H0: p ≠ 0.03; Ha: p = 0.03 D) H0: p = 0.03; Ha: p < 0.03 Answer: D Express the null hypothesis and the alternative hypothesis in symbolic form. 3) An entomologist writes an article in a scientific journal which claims that fewer than 13 in ten thousand male fireflies are unable to produce light due to a genetic mutation. A) H0: p = 0.0013 B) H0: p < 0.0013 C) H0: p = 0.0013 D) H0: p > 0.0013 Ha: p < 0.0013 Ha: p ≥ 0.0013 Ha: p > 0.0013 Ha: p ≤ 0.0013 Answer: A 4) A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 5 in every one thousand. A) H0: p = 0.005 B) H0: p > 0.005 C) H0: p < 0.005 D) H0: p = 0.005 Ha: p < 0.005 Ha: p ≤ 0.005 Ha: p ≥ 0.005 Ha: p > 0.005 Answer: A Solve the problem. 5) Read the following problem description then choose the correct null and alternative hypothesis. A new drug is being tested to see whether it can reduce the diastolic blood pressure measurement for adults age 45 -60 years. The upper limit for diastolic blood pressure measurement should be 90 mmHg. A) H0: p = 90 mmHg; Ha : p ≠ 90 mmHg C) H0: p < 90 mmHg; Ha : p > 90 mmHg B) H0: p ≠ 90 mmHg; Ha : p < 90 mmHg D) H0: p = 90 mmHg; Ha : p < 90 mmHg Answer: D 6) Read the following problem description then choose the correct null and alternative hypothesis: A new drug is being tested to see whether it can reduce the rate of food-related allergic reactions in children ages 1 to 3 with food allergies. The rate of allergic reactions in the population of concern is 0.03. A) H0: p < 0.03; Ha : p = 0.03 C) H0: p = 0.03; Ha : p > 0.03 B) H0: p ≠ 0.03; Ha : p = 0.03 D) H0: p = 0.03; Ha : p < 0.03 Answer: D Page 1 Copyright © 2020 Pearson Education, Inc.