MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was
. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis
and the alternative hypothesis
that we would use for this test.
74%
H0
H1
H0:H1:
|
|
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
Knowledge Booster
Learn more about
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
- In a recent Super Bowl, a TV network predicted that 41 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 101 people who saw the commercials and found that 36 of them said they would watch one of the television shows. Suppose you have the following null and alternative hypotheses for a test you are running: H0:p=0.41Ha:p≠0.41 Calculate the test statistic, rounded to 3 decimal placesz=arrow_forwardA decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 05%%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H and the alternative hypothesisH that we would use for this test. H 0 H: 0 ?arrow_forwardWhich statement is true? If you rejected the null hypohesis at alpha = 0.05, then Question 43 options: there is a 1.5% chance that you made a Type I error. there is a 2.5% chance that you made a Type I error. there is a 3.5% chance that you made a Type I error. there is a 4.5% chance that you made a Type I error.arrow_forward
- In a recent Super Bowl, a TV network predicted that 17 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 141 people who saw the commercials and found that 31 of them said they would watch one of the television shows.Suppose you have the following null and alternative hypotheses for a test you are running:H0:p=0.17Ha:p>0.17Calculate the test statistic, rounded to 3 decimal placesarrow_forwardANSWER C IN THE PICTURE AND D FROM THE PASTED TEXT. THE BELOW TEXT IS AN EXAMPLE QUESTION JUST ANSWER THE QUESTION BUT USE INFORMATION FROM THE PICTURE PROVIDED d. Assuming that the model is correctly specified, test, at the 1% significance level, the null hypothesis that, all else being equal, the number of members in a household does not affect expenditures on vacation travel against the alternative that the greater the number of household members, the lower the vacation travel expenditures. This is a hypothesis test for the regression coefficients. Part 13 The null and alternative hypotheses are shown below. H0: β2=0 H1: β2<0 Part 14 Find tn−K−1,α=t2195,0.01, the critical value with an area of 0.01 in the upper-tail of the t distribution with 2195 degrees of freedom. Use technology, rounding to two decimal places. t2195,0.01=−2.33 Part 15 The test statistic shown below approximately follows a t distribution with n−K−1 degrees of freedom, where n is the…arrow_forwardIs purple your favorite color? It’s claimed that in the population, the proportion of adults who favor the color purple is 0.24. You believe the true population proportion is different than 0.24. After surveying a random sample of 400 adults, you find that the proportion in your sample who pick purple as a favorite color is 0.19. Based on this information, which one of the following statements is correct? If a hypothesis test is conducted, the P-value will be larger than 0.10. If a hypothesis test is conducted, the test statistic will be positive. The null hypothesis will be rejected at a significance level of 0.05. The alternative hypothesis should be Ha: p > 0.24. The value of 0.19 is a parameter.arrow_forward
- Suppose that a 2013 survey revealed that 69.1% of recent college graduates had student loan debt. Amy suspects that this proportion has increased, so she formulated the null hypothesis Ho: p = 0.691 and the alternative hypothesis H₁: p > 0.691, where p is the proportion of 2015 college graduates who have student loan debt. She obtained a simple random sample of 200 college graduates from the class of 2015 and found that 147 of them have student loan debt. Using this information, she calculated the following summary statistics. Sample Sample Sample size count proportion n 200 X 147 The decision is to null equal to (p-value = 0.092). There is alternative p 0.735 0.10 If Amy requires her results to be statistically significant at a level of α = 0.10, use the data presented to fill in the blanks and complete the sentences that form Amy's conclusion. accept Standard insufficient error SE 0.033 not equal to Statistic Z 1.33 with student loan debt is the Answer Bank all 2015 college graduates…arrow_forwardIn a recent Super Bowl, a TV network predicted that 58 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 53 people who saw the commercials and found that 33 of them said they would watch one of the television shows.Suppose you are have the following null and alternative hypotheses for a test you are running:H0:p=0.58Ha:p>0.58Calculate the test statistic, rounded to 3 decimal places z=arrow_forwardIn 1995, it was determined that 78% of US citizens supported a ban on household aerosols. Thinking that this proportion may have changed over the past few decades, a sample will be taken to test if a change has occurred. What is the appropriate null hypothesis? H0: ["", "", "", ""] What is the appropriate alternative hypothesis? Ha:arrow_forward
- You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 59% at a level of significance of a = 0.01. According to your sample, 32 out of 62 potential voters prefer the Democratic candidate. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? O Select an answer > (please enter a decimal) H1: ? 0 Select an answer © (Please enter a decimal) c. The test statistic ? O (please show = your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.)arrow_forwardIn a recent Super Bowl, a TV network predicted that 53 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 93 people who saw the commercials and found that 47 of them said they would watch one of the television shows.Suppose you are have the following null and alternative hypotheses for a test you are running:H0:p=0.53Ha:p<0.53Calculate the test statistic, rounded to 3 decimal places z=arrow_forwardThe Statistics Games are played by a large number of students across the county. Last year, 32% of Clayton State participated in the Games. You wonder: “Has the proportion increased this year?”. To find out, you take a random sample of 250 CSU students and ask them if they participated in the Games this year. You find that 38% did. Should you calculate a z-score or a t-score for your hypothesis test? A Neither, because the sample is not big enough- they did not ask all CSU students. B t-score because the sample is random and n is greater than 30. C z-score, because we are testing proportions, and the sample is random and has at least 5 successes (np=250*0.32) and 5 failures (nq = 250*0.68). D t-score because we don't know the population standard deviation. E z-score because our sample is random and the sample size is greater than 30.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman