Concept explainers
For Exercises 7 through 31, perform the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified. Assume all assumptions are valid.
20. Effectiveness of New Drug To test the effectiveness of a new drug, a researcher gives one group of randomly selected individuals the new drug and another group of randomly selected individuals a placebo. The results of the study are shown here. At α = 0.10, can the researcher conclude that the drug results differ from those of the placebo? Use the P-value method.
Medication | Effective | Not effective |
Drug | 32 | 9 |
Placebo | 12 | 18 |
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- Do the following for the case below. a. State the null and alternative hypotheses for a hypothesis test. b. Describe the two possible outcomes of the test, using the context of the given situation. The governor claims that the percentage of adults over 24 who have graduated from high school is greater than 75%, the national average. What is the null hypothesis? A. The percentage of adults over 24 who have graduated from high school is 75%. B. The percentage of adults over 24 who have graduated from high school is greater than 75%. C. The national average for the percentage of adults over 24 who have graduated from high school is 75%.arrow_forwardDescribe type I and type II errors for a hypothesis test of the indicated claim. A furniture store claims that at least 40% of its new customers will return to buy their next piece of furniture. Describe the type I error. Choose the correct answer below. OA. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.40, but you fail to reject Ho: p20.40. OB. A type I error will occur when the actual proportion of new customers who return to buy their next piece furniture is at least 0.40, but you reject Ho: p20.40. OC. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.40, but you reject Ho: p ≤ 0.40. OD. A type I error will occur when the actual proportion of new customers who return to buy their next piece f furniture is no more than 0.40, but you fail to reject Ho: p ≤0.40. Describe the type II error. Choose the correct answer…arrow_forward5. A psychologist would like to examine the effects of different testing methods on the final performance of college students. One group gets regular quizzes, one group gets three large exams, and the third group only gets a final exam. At the end of the course, the psychologist interviews each student to get a measure of the student's overall knowledge of the material. a. Use a= .05. Conduct the Four Steps for Hypothesis Testing. Then, complete the table below with all the required calculations. b. Are the data sufficient to conclude that thier is a significant difference among the three methods? Write your answer in the form of a sentence. c. Conduct a Tukey's HSD to determine if there is a sigificant difference between any of the 3 groups. Source Between Treatments S df MS Within Treatments Total TTT Quizzes Exams Final Only 4 1 G-36, ΣΧ -164 4 2 3 5 7 2 2 T=20 T=12 T=4 SS=10 SS=10 SS=4arrow_forward
- help ASAParrow_forwardb and carrow_forwardS Identify the type I error and the type II error for a hypothesis test of the indicated claim. The percentage of adults who retire at age 65 is less than 62%. Identify the type I error. Choose the correct answer below. OA. Reject the null hypothesis that the percentage of adults who retire at age 65 is less than 62% when it is actually true. OB. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is greater than or equal to 62% when it is actually false. OC. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is less than 62% when it is actually false. OD. Reject the null hypothesis that the percentage of adults who retire at age 65 is greater than or equal to 62% when it is actually true. Get more help - 4 Q Search P Pearson 3 right © 2023 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | S Clear all Check ansarrow_forward
- Please answer the question in the photo. Thank you!arrow_forwardDo the following for the case below.a. State the null and alternative hypotheses for a hypothesis test.b. Describe the two possible outcomes of the test, using the context of the given situation. The governor claims that the percentage of adults over 21 who have graduated from high school is greater than 87%, the national average.arrow_forwardDescribe the type I error and the type II error for a hypothesis tests of the given claim. The proportion of settled medical malpractice suits is 0.22. Which of the following is a type I error? A. Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually different from 0.22. O B. Fail to reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually different from 0.22. C. Fail to reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually 0.22. O D. Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually 0.22. Which of the following is a type II error? O A. Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually different from 0.22. O B. Reject the claim that the proportion of settled malpractice suits is 0.22 when the proportion is actually 0.22. O C.…arrow_forward
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