Concept explainers
Background: Morris Saldov conducted a study in Eastern and Central Newfoundland in 1988 to examine public attitudes towards social spending. In particular, the study tried to determine if knowing someone on public assistance (yes, no) affected one's views on social spending (too little, about right, too much). The data from the study is summarized in the table below.
Yes | No | Total | |
Too little | 38 | 8 | 46 |
About right | 16 | 13 | 29 |
Too much | 7 | 9 | 16 |
Total | 61 | 30 | 91 |
Source: Morris Saldov, Public Attitudes to Social Spending in Newfoundland," Canadian Review of Social Policy, 26, November 1990, pages 10-14.
Directions: Conduct a chi-square test for independence to determine if the association between knowing someone on public assistance and views on social spending is statistically significant.
- Choose the correct null and alternative hypotheses.
- H0:H0: There is an association between knowing someone on public assistance and views on social spending.
HaHa There is no association between knowing someone on public assistance and views on social spending. - H0:H0: There is no association between knowing someone on public assistance and views on social spending.
HaHa There is an association between knowing someone on public assistance and views on social spending.
- H0:H0: There is an association between knowing someone on public assistance and views on social spending.
- Compute the test statistic.
Complete the following table of expected counts. (Round your answers to 2 decimal places).
Yes No Too little About right Too much
Compute the value of the test statistic. (Round your answer to 2 decimal places.)
χ2= - Compute the p-value. (Round your answer to 4 decimal places.)
p-value = - Interpret the results of the significance test. Use a signifcance level of alpha = 0.05
- The p-value provides strong evidence against the null hypothesis. The association between knowing someone on public assistance and attitudes towards social spending is statistically significant.
- The p-value provides little evidence against the null hypothesis. The association between knowing someone on public assistance and attitudes towards social spending is not statistically significant.
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 7 images
- What is the mode, if any, for the dataset of 99;40;59;55;77;59;75;69;69;92;60;58;75;83?arrow_forwardThe Bureau of Labor Statistics provides the annual average unemployment rate (civilian workforce 16 years and older) in the United States. This information is given in the following table. Year Unemployment Rate 2006 4.6% 2007 4.6% 2008 5.8% 2009 9.3% 2010 9.6% 2011 8.9% (a) Which of the following explanations is the BEST reason for NOT using a pie chart to represent this data? (Choose only one.) Bar charts are always better representations of data. There are too many years for a pie chart to useful. The numbers do not add to 100%. Each of the percentages comes from a different base. That is, each of the percentages are not part of the same whole. (b) Think about the similarities and differences of pie charts, bar graphs, and histograms. Select ALL of the following statements that are TRUE. Pie charts and bar graphs are used to compare variables while histograms are used to examine the distribution of data. Pie charts, bar graphs, and histograms can…arrow_forwardDixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow. Market Mobile Shreveport Jackson Birmingham Little Rock Biloxi New Orleans Baton Rouge Weekly Gross Revenue Television Advertising Newspaper Advertising ($100s) 101.3 51.9 74.8 126.2 137.8 101.4 237.8 219.6 ($100s) 5.0 3.0 4.0 4.3 3.6 3.5 5.0 6.9 + (a) Use the data to develop an estimated regression equation with the amount of television advertising as the independent variable. Let x represent the amount of television advertising. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) ŷ ($100s) 1.5 3.0 1.5 4.3 4.0 2.3 8.4 5.8 X Test for a significant relationship between television advertising and weekly…arrow_forward
- A business reports that their average salary is over $91,000, the simple mean of the salaries listed in the chart. Alternatively, instead of a simple mean, the business could report the median, or the mode. Which would be the most useful to someone deciding whether to apply for an entry level job at this business? Job Number of Employees Salary Line workers 10 $30,000 Office manager 1 $45,000 CEO 1 $200,000 Select one: a. Simple mean is best b. Simple mean and median are nearly equal numerically. They are equally good for this purpose and better than the other options. O c. Simple mean and mode are equally good for this purpose and better than the other options. d. Median and mode are about equally good for this purpose and better than other options.arrow_forwardQuestion: Why is the value that you calculated for the mean different from the mode and median? Data table: PLAYER'S NAME POINTS PER GAME in 21-22 season Bam Adebayo 19.1 Caleb Martin 9.2 Chris Silva 2.9 Dewayne Dedmon 6.3 Duncan Robinson 10.9 Gabe Vincent 8.7 Haywood Highsmith 2.3 Javonte Smart 5 Jimmy Butler 21.4 KZ Okpala 3.7 Kyle Guy 3.9 Kyle Lowry 13.4 Marcus Garrett 1.1 Markieff Morris 7.6 Max Strus 10.6 Mychal Mulder 7 Nik Stauskas 5.5 Omer Yurtseven 5.3 P.J. Tucker 7.6 Tyler Herro 20.7 Udonis Haslem 2.5 Victor Oladipo 12.4arrow_forwardDoes buttered toast fall face down? Data was collected to test this. 40 slices of toast (each with butter on one side) were dropped (from the same height). 24 slices (60%) landed buttered side down. We would like to use the results of this study to determine if there is statistical evidence that toast tends to land buttered side down more than 50% of the time.arrow_forward
- TYPEWRITTEN ONLY PLEASE FOR UPVOTE. DOWNVOTE FOR HANDWRITTEN. DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. I'LL DOWNVOTE.arrow_forwardA real estate agent has been given 10 houses to list. The house prices in dollars are: 110,000 95,000 87,000 92,000 99,000 250,000 265,000 210,000 275,000 240,000 A potential buyer calls and asks about house prices in the area. What measure of central tendency would best describe this data set? How should the real estate agent report it? Justify your response.arrow_forward
- 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