Connect hosted by ALEKS for Elementary Statistics: A Step By Step Approach
10th Edition
ISBN: 9781260041774
Author: Allan Bluman
Publisher: Mcgraw-hill Higher Education (us)
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Chapter 11.2, Problem 19E
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.
19. Type of Medicine A medical researcher wishes to determine if the type of vitamin pills taken is related to the age of the person. The data are shown. At α = 0.10, is the type of vitamin related to the age of the person taking the vitamin?
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A standardized test has a scale that ranges from 3 to 45. A new type of review course for the test was developed by a training company. The accompanying table shows the scores for nine students before and after taking the review course. Complete parts (a) through (d) below.
E Click the icon to view the data table.
a. Perform a hypothesis test using a= 0.05 to determine if the average test score is higher for the students after the review course when compared with before the course. Let p, be the population mean of matched-pair differences for the score before the course minus the score after the course. State the null and
alternative hypotheses. Choose the correct answer below.
O A. Ho: Ha = 0
H,: Ha #0
O B. Ho: Ha 20
H,: Hg 0
H,: Ha s0
O D. Ho: Ha s0
H,: Hg>0
OF. Ho: Ha <0
H,: Hg 20
Test Scores
O E. Ho: Ha #0
H,: H = 0
Student
Before
After
26
28
b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a = 0.05.
23
25
18
16
The test statistic…
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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.
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TV Viewing. The A. C. Nielsen Company collects data on the TV viewing habits of Americans and publishes the information in Nielsen Report on Television. Suppose that you want to use a paired sample to decide whether the mean viewing times of married men and married women differ.
a. identify the variable.
b. identify the two populations.
c. identify the pairs.
d. identify the paired-difference variable.
e. determine the null and alternative hypotheses.
f. classify the hypothesis test as two tailed, left tailed, or right tailed.
Chapter 11 Solutions
Connect hosted by ALEKS for 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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- Describe 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_forwardplease solve allarrow_forwardDescribe type I and type II errors for a hypothesis test of the indicated claim. A clothing store claims that at least 80% of its new customers will return to buy their next article of clothing. 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 buy their next article of clothing is at least 0.80, but you reject Ho: p20.80. OB. A type I error will occur when the actual proportion of new customers who return to buy their next article of clothing is at least 0.80, but you fail to reject Ho: p20.80. OC. A type I error will occur when the actual proportion of new customers who return article of clothing is no more than 0.80, but you fail to reject Ho: p≤0.80. OD. A type I error will occur when the actual proportion of new customers who return article of clothing is no more than 0.80, but you reject Ho: p≤0.80. buy their next buy their nextarrow_forward
- Determine the given of the problems below and formulate the null and alternative hypotheses both in words and symbols. Write your answer in your notebook. Please foliow the format in the examples. 1A health specialist wants to determine the average number of hours a person exercises in a day during the quarantine period. She found out that the mean number of hours a person exercises in a day during the quarantine period is 80 minutes. A random sample of 29 persons were surveyed and found that their mean is 65 minutes and a standard deviation of 10 minutes. Test the hypothesis at 2% level of significance and assume that the population is normally distributed. 2. A study was conducted to determine the marrying age of teachers. It was found out that the mean marrying age of teachers is 30 years old. Fifteen teachers were surveyed randomly and found that their mean marrying age was 33 years old with a standard deviation of 5 years. Use 10% level of significance to test the hypothesis and…arrow_forwardWhen performing a hypothesis test upon two dependent samples, the variable of interest is Group of answer choices a.the absolute value of the differences that exist between the matched-pair data. b.the differences that exist between the matched-pair data. c.the data that is the same in both samples. d.all of the combined data.arrow_forwardIdentify the type I error and the type ll error for a hypothesis test of the indicated claim. The percentage of adults who retire at age 65 is equal to 62%. Identify the type I error. Choose the correct answer below. OA. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when it is actually false. OB. Reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when it is actually false. OC. Reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when it is actually true. OD. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when it is actually true. Identify the type Il error. Choose the correct answer below. OA. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is equal to 62% when it is actually false. OB. Fail to reject the null hypothesis that the percentage of adults who…arrow_forward
- Determine the first step of hypothesis testing, and explain the procedure and logic of this step. Choose the correct answer below. A. The first step is to determine the level of significance at which to conduct the hypothesis test. The conventional levels of significance used are 5% and 1%, which are described as the 0.05 significance level and the 0.01 significance level, respectively. When a sample score is so extreme that researchers reject the null hypothesis, the result is said to be statistically significant. B. The first step is to restate the question as a research hypothesis and a null hypothesis about the populations. Since researchers are interested in the results in terms of the population, it is useful to restate the research question in terms of populations. The research hypothesis represents the research question being asked. C. The first step is to determine the characteristics of the comparison distribution. The overall logic of hypothesis…arrow_forwardKindly answer letter d to letter j , typewrittenarrow_forwardIdentify the type I error and the type II error that correspond to the given hypothesis. The percentage of households with more than 1 pet is greater than 65%. Identify the type I error. Identify the type II error.arrow_forward
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