Elementary Statistics: A Step By Step Approach
10th Edition
ISBN: 9781259755330
Author: Allan G. Bluman
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 11.2, Problem 20E
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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Use the traditional method in testing the hypothesis in the problems below. In each problem, state the following:a. State the hypotheses and identify the claim.b. Find the critical value(s)c. Find the test value
The manager of the cosmetics section of a large department store wants to determine whether newspaper advertising really does affect sales. For her experiment, she randomly selects 15 items currently in stock and proceeds to establish a baseline. The 15 items are priced at their usual competitive values, and the quantity of each item sold for a 1-week period is recorded. Then, without changing their price, she places a large ad in the newspaper, advertising the 15 items. Again, she records the quantity sold for a 1-week period. The results follow.
Item 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15No. of Items Sold Before Ad 25 18 3 42 16 20 23 32 60 40 27 7 13 23 16No. of Items Sold After Ad 32 24 7 40 19 25 23 35 60 43 28 11 12 32 28
Directions: Follow the steps in testing the hypothesis to answer the following problems.
a. Identify the given in the problem.
b. State the null and alternative hypotheses.
c. Determine the test statistic, then compute its value.
d. Find the critical value and draw the critical region.
e. Draw a conclusion
A teacher believes that less than 20% of the students like Mathematics. If 13 out of the 60
randomly selected students like mathematics, is the teachers' claim valid? Use 90% confidence
level.
A sociologist wants to study what proportion of people have significant relationship problems due to financial stress. A previous study she is aware of estimated it to be 32% but she believes this has increased in modern times. She collects a random sample of 150 people and 63 of them report relationship problems due to financial stress. Conduct an appropriate hypothesis test in questions #22-#25.
Choose the correct alternative hypothesis for this test.
A)p ≠ 0.32
B)p = 0.32
C)p > 0.32
D)p < 0.32
Chapter 11 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 11.1 - Skittles Color Distribution MM/Mars, the makers of...Ch. 11.1 - How does the goodness-of-fit test differ from the...Ch. 11.1 - How are the degrees of freedom computed for the...Ch. 11.1 - How are the expected values computed for the...Ch. 11.1 - When the expected frequency is less than 5 for a...Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - How are the null and alternative hypotheses stated...Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....
Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - Prob. 17ECh. 11.1 - For Exercises 5 through 18, perform these steps....Ch. 11.1 - Tossing Coins Three coins are tossed 72 times, and...Ch. 11.1 - Prob. 20ECCh. 11.2 - Satellite Dishes in Restricted Areas The Senate is...Ch. 11.2 - Prob. 1ECh. 11.2 - How are the degrees of freedom computed for the...Ch. 11.2 - Generally, how would the null and alternative...Ch. 11.2 - What is the name of the table used in the...Ch. 11.2 - How are the expected values computed for each cell...Ch. 11.2 - How are the null and alternative hypotheses stated...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 21ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 25ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 27ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 29ECh. 11.2 - For Exercises 7 through 31, perform the following...Ch. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECCh. 11.2 - Prob. 33ECCh. 11.2 - When the chi-square test value is significant and...Ch. 11 - For Exercises 1 through 10, follow these steps. a....Ch. 11 - Prob. 11.1.2RECh. 11 - Prob. 11.1.3RECh. 11 - Prob. 11.1.4RECh. 11 - Prob. 11.2.5RECh. 11 - Prob. 11.2.6RECh. 11 - Prob. 11.2.7RECh. 11 - Prob. 11.2.8RECh. 11 - Prob. 11.2.9RECh. 11 - Prob. 11.2.10RECh. 11 - The Data Bunk is located in Appendix B, or on the...Ch. 11 - Prob. 2DACh. 11 - Prob. 3DACh. 11 - Prob. 1CQCh. 11 - Determine whether each statement is true or false....Ch. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Complete the following statements with the best...Ch. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQCh. 11 - Prob. 11CQCh. 11 - Prob. 12CQCh. 11 - Prob. 13CQCh. 11 - Prob. 14CQCh. 11 - Prob. 15CQCh. 11 - Prob. 16CQCh. 11 - Prob. 17CQCh. 11 - Prob. 18CQCh. 11 - Prob. 19CQ
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 1. Here is data for a 2-group study looking at levels of openness between successful and unsuccessful entrepreneurs. It is believed that there are higher rates of success in those who are open to new ideas and suggestions. The data below measures levels of openness between the two groups. N Successful 100 84 3 Unsuccessful 100 81 6arrow_forwardNeed help with this please and thank you. Hypothesis testing: For the following exercise, answer each question. State the null and alternate hypothesis. State the p-value. State alpha. What is your decision? Write a conclusion. Answer any other questions asked in the problem. 107 . According to the Center for Disease Control website, in 2011 at least 18% of high school students have smoked a cigarette. An Introduction to Statistics class in Davies County, KY conducted a hypothesis test at the local high school (a medium sized–approximately 1,200 students–small city demographic) to determine if the local high school’s percentage was lower. One hundred fifty students were chosen at random and surveyed. Of the 150 students surveyed, 82 have smoked. Use a significance level of 0.05 and using appropriate statistical evidence, conduct a hypothesis test and state the conclusions.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_forward
- 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_forwardDirections: Follow the steps in testing hypothesis to answer the following problems. a. Identify the given in the problem. b. State the null and alternative hypotheses. c. Determine the test statistic, then compute its value. d. Find the critical value and draw the critical region. e. Draw a conclusion 2. According to the World Health Organization's statistics published in 2018, the lifespan of a person in the Philippines is 67 years old. A random sample of 25 obituary notices in the Philippine Daily Inquirer has an average mean of 60 years old with a standard deviation of 19 years. If the life span in the Philippines is normally distributed, does this information indicate that the population mean life span of Filipinos is less than 67 years old? Use 5% level of significance.arrow_forward
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