Elementary Statistics: A Step By Step Approach
9th Edition
ISBN: 9780073534985
Author: Allan Bluman
Publisher: McGraw-Hill Science/Engineering/Math
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Textbook Question
Chapter 9.4, Problem 22E
For Exercises 7 through 27, perform these steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
22. High School Graduation Rates The overall U.S. public high school graduation rate is 73.4%. For Pennsylvania it is 83.5% and for Idaho 80.5%—a difference of 3%. Random samples of 1200 students from each state indicated that 980 graduated in Pennsylvania and 940 graduated in Idaho. At the 0.05 level of significance, can it be concluded that there is a difference in the proportions of graduating students between the states?
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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…
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…
Need 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.
Chapter 9 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 9.1 - Home Runs For a sports radio talk show, you are...Ch. 9.1 - Explain the difference between testing a single...Ch. 9.1 - When a researcher selects all possible pairs of...Ch. 9.1 - What three assumptions must be met when you are...Ch. 9.1 - Show two different ways to state that the means of...Ch. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - For Exercises 5 through 16, perform each of the...
Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - Prob. 11ECh. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - Prob. 13ECh. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - Self-Esteem Scores In a study of a group of women...Ch. 9.1 - Ages of College Students The dean of students...Ch. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Television Watching The average number of hours of...Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - Prob. 23ECh. 9.1 - Home Prices According to the almanac, the average...Ch. 9.1 - Exam Scores at Private and Public Schools A...Ch. 9.1 - Sale Prices for Houses The average sales price of...Ch. 9.1 - Average Earnings for College Graduates The average...Ch. 9.2 - Too Long on the Telephone A company collects data...Ch. 9.2 - Prob. 1ECh. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - Prob. 9ECh. 9.2 - Find the 95% confidence interval for the...Ch. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Ages of Homes Whiting, Indiana, leads the Top 100...Ch. 9.2 - Prob. 17ECh. 9.2 - Out-of-State Tuitions The out-of-state tuitions...Ch. 9.2 - Prob. 19ECh. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.3 - Air Quality As a researcher for the EPA, you have...Ch. 9.3 - Classify each as independent or dependent samples....Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - Prob. 5ECh. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - Toy Assembly Test An educational researcher...Ch. 9.3 - Prob. 11ECh. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - Prob. 13ECCh. 9.4 - Smoking and Education You are researching the...Ch. 9.4 - Prob. 1ECh. 9.4 - Find p and q for each. a. n = 36, X = 20 b. n =...Ch. 9.4 - Prob. 3ECh. 9.4 - Find each X, given p. a. p = 0.24, n = 300 b. p =...Ch. 9.4 - Prob. 5ECh. 9.4 - Find p and q. a. X1 = 6, n1 = 15, X2 = 9, n2 = 15...Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - For Exercises 7 through 27, perform each of these...Ch. 9.4 - Prob. 11ECh. 9.4 - For Exercises 7 through 27, perform each of these...Ch. 9.4 - Prob. 13ECh. 9.4 - For Exercises 7 through 27, perform each of these...Ch. 9.4 - Prob. 15ECh. 9.4 - Smoking Survey National statistics show that 23%...Ch. 9.4 - For Exercises 7 through 27, perform each of these...Ch. 9.4 - For Exercises 7 through 27, perform each of these...Ch. 9.4 - Prob. 19ECh. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - Prob. 28ECCh. 9.5 - Prob. 1ACCh. 9.5 - When one is computing the F test value, what...Ch. 9.5 - Why is the critical region always on the right...Ch. 9.5 - What are the two different degrees of freedom...Ch. 9.5 - What are the characteristics of the F...Ch. 9.5 - Prob. 5ECh. 9.5 - Using Table H, find the critical value for each....Ch. 9.5 - Prob. 7ECh. 9.5 - Using Table H, find the P-value interval for each...Ch. 9.5 - Prob. 9ECh. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - Prob. 13ECh. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - Prob. 17ECh. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - Prob. 21ECh. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - Prob. 23ECh. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9 - For each exercise, perform these steps. 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- 1. Explain the concept of a hypothesis test, and why it is used in research and science. 2. Conduct a hypothesis test, by executing the following steps: a. Identifying the correct type of test. b. Creating the two hypotheses. c. Organizing the information from the problem. d. Calculating any missing statistics. e. Finding the P-value on your calculator. f. Making the decision of the test. g. Writing a sentence which embodies your decision. 3. Differentiate between a 1-sided and 2-sided test. 4. Differentiate between a 1-proportion z-test and 2-proportion z-test.arrow_forwardTV 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.arrow_forwardUse the hypothesis testing process. A psychologist has prepared an “Optimism Test” that is administered yearly to graduating college seniors. The test measures how each graduating class feels about its future—the higher the score, the more optimistic the class. Last year’s class had a mean score of μ = 24. A sample of n = 10 seniors from this year’s class was selected and tested. The scores for these seniors are below. Is this year’s class different in its level of optimism from last year’s class (p < .05)? 17 20 19 15 17 17 26 27 16 22arrow_forward
- What is at the "heart" of hypothesis testing in statistics? (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) Choose the best answer below. A. Determine whether a statement is true. B. Make an assumption about reality, and collect sample evidence to determine whether it contradicts the assumption. C. Determine whether a statement is false. D. None of the abovearrow_forwardChoose the correct answer below. O A. Quiz scores from a college level statistics course are analyzed to determine student progress. O B. A radio station asks for call-in responses to a question concerning city recycling. O C. A survey is taken at a mall by asking passersby if they will fill out the survey. O D. A local dentist asks her patients to fill out a questionnaire and mail it back to determine the quality of the care received during an office visit.arrow_forwardWhat are the correct answers?arrow_forward
- Part B and Part C please! Thank You so much! Part C) For the hypothesis test, identify the vaule used for the population proportion and use the symbol that represents it.arrow_forwardConsider the hypothesis test below, with n = 65 and p = 0.46. Ho: p=0.38 HA:p#0.38 a = 0.05 a. State the decision rule in terms of the critical value of the test statistic. b. State the calculated value of the test statistic. c. State the conclusion. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. Reject the null hypothesis if the calculated value of the test statistic, z, is greater than and less than Otherwise, do not reject the null hypothesis. O B. Reject the null hypothesis if the calculated value of the test statistic, z, is less than Otherwise, do not reject the null hypothesis. O C. Reject the null hypothesis if the calculated value of the test statistic, z, is greater than Otherwise, do not reject the null hypothesis. O D. Reiect the null hvpothesis if the calculated value of the test statistic. z. is areater than or less than Otherwise. do not reiect the null hvpothesis.arrow_forwardThe alternative hypothesis usually represents a. The status quo b. The theory the researcher would like to prove c. The perceptions of the sample populationarrow_forward
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