MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Question
![**Minority Models ~ Negative stereotypical depiction of minorities or their exclusion from advertisements in mainstream media has been found to have harmful social effects. Researchers are interested in answering the following question:**
*Is the proportion of magazine advertisements portraying each racial group different from its proportion of the U.S. population?*
The observed data in the table below is consistent with data collected from an analysis of magazine advertisements from 1993 and 1994. The table summarizes the frequency of the appearance of models in a total of 1527 advertisements.
The population distribution values were taken from the 1990 census data.
| | African Americans | Asian Americans | Hispanic Americans | White Americans |
|-------------------------------|-------------------|-----------------|-------------------|-----------------|
| **1990 Census data (%)** | 12.1% | 3.3% | 9.0% | 75.6% |
| **Observed Data** | 151 | 74 | 80 | 1222 |
Round all calculated values to 4 decimal places where appropriate.
**1. Select the phrases to complete the null and alternative hypotheses for this research situation.**
\[ H_0: \] The proportion of magazine advertisements portraying each racial group is \[ \boxed{\text{the same as}} \] its proportion of the U.S. population.
\[ H_A: \] The proportion of magazine advertisements portraying each racial group is \[ \boxed{\text{different from}} \] its proportion of the U.S. population.
**2. What type of test should the researchers use?**
- \[ \] A. t-test for a sample mean
- \[ \boxed{{\rm B.}} \] t-test for the slope of the regression line
- \[ \] C. \(\chi^2\) goodness of fit test
- \[ \] D. \(\chi^2\) test of independence
- \[ \] E. z-test for one population proportion
**3. Which of the following conditions must be met for the hypothesis test to be valid? Select all that apply.**
- \[ \] A. There must be at least 10 "success" and 10 "failure" observations.
- \[ \] B. There must be an expected count of at least 5 for each level of](https://content.bartleby.com/qna-images/question/9896e9f0-21a4-41f5-9cfe-a9d2b9678883/72447c1a-15af-4b03-9d34-505bf4f98a27/1l4fx6d_processed.png)
Transcribed Image Text:**Minority Models ~ Negative stereotypical depiction of minorities or their exclusion from advertisements in mainstream media has been found to have harmful social effects. Researchers are interested in answering the following question:**
*Is the proportion of magazine advertisements portraying each racial group different from its proportion of the U.S. population?*
The observed data in the table below is consistent with data collected from an analysis of magazine advertisements from 1993 and 1994. The table summarizes the frequency of the appearance of models in a total of 1527 advertisements.
The population distribution values were taken from the 1990 census data.
| | African Americans | Asian Americans | Hispanic Americans | White Americans |
|-------------------------------|-------------------|-----------------|-------------------|-----------------|
| **1990 Census data (%)** | 12.1% | 3.3% | 9.0% | 75.6% |
| **Observed Data** | 151 | 74 | 80 | 1222 |
Round all calculated values to 4 decimal places where appropriate.
**1. Select the phrases to complete the null and alternative hypotheses for this research situation.**
\[ H_0: \] The proportion of magazine advertisements portraying each racial group is \[ \boxed{\text{the same as}} \] its proportion of the U.S. population.
\[ H_A: \] The proportion of magazine advertisements portraying each racial group is \[ \boxed{\text{different from}} \] its proportion of the U.S. population.
**2. What type of test should the researchers use?**
- \[ \] A. t-test for a sample mean
- \[ \boxed{{\rm B.}} \] t-test for the slope of the regression line
- \[ \] C. \(\chi^2\) goodness of fit test
- \[ \] D. \(\chi^2\) test of independence
- \[ \] E. z-test for one population proportion
**3. Which of the following conditions must be met for the hypothesis test to be valid? Select all that apply.**
- \[ \] A. There must be at least 10 "success" and 10 "failure" observations.
- \[ \] B. There must be an expected count of at least 5 for each level of
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
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
- You wish to test the following claim (H.) at a significance level of a= 0.002. For the context of this problem, = P2-A where the first data set represents a pre-test and the second data set represents a post-test. H. = 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation You obtain pre-test and post-test samples for n = 10 subjects. The average difference (post - pre) is d -32.1 with a standard deviation of the differences of sa = 36.7.arrow_forwardYou are conducting a test of homogeneity for the claim that two different populations have the same proportions of the following two characteristics. Here is the sample data. Category A B Population Population #1 #2 34 46 100 15 What is the chi-square test-statistic for this data? x² = Report all answers accurate to three decimal places. Submit Questionarrow_forwardHelp!arrow_forward
- This is the step1, so step 2 and step 3 and Step 4 must be answered. (Step 2: Test Statistic -Pearson's r correlation coefficient AND Step 3: Critical Values, and Step 4: Solve For the test stat) so based it from the photo. The table shows the number of hours spend by 30 students in studing and their test scores. Solve for the Pearson’s r and interpret the results. Use 5% significance level. Step 1: Null and Alternative Hypothesis Ho: r = 0; There is no significant relationship between the number of hours spent studying and the students test scores. Ha: r ≠ 0; There is a significant relationship between the number of hours spent studying and the students test scores. Step 2: Test Statistic -Pearson's r correlation coefficient Step 3: Critical Values, Step 4: Solve For the test stat PLEASE SHOW ME COMPLETE SOLUTIONS AND CORRECT ANSWERS THANK YOU!! It was a pleasure to me.arrow_forwardI need help with the following questions Calculate the standard errors for a and b (sa and sb). Discuss the interpretation of each of them. Compute the confidence interval (alpha = 0.05) and the t-statistic for b. Again, explain the meaning of each of them in a sentence. Calculate the R2 for the regression and describe its meaning. Graph the data points and the sample regression function. Identify the slope and the intercept term. Label the data points and graphically indicate the residual for each observation. Add a vertical dashed line for the mean of X and the horizontal dashed line for the mean of Y. Does the regression function pass through the intersection of these two lines? This information should be used for you to solve The calculations below should be done by applying the bivariate regression formulas. In other words, do them “by hand” using a calculator or in Excel in a manner that I can clearly see the formulas you have used. You should also check your calculations by…arrow_forwardPls help I need in 1 hourarrow_forward
- Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd = 0. x / 2 3 4 3 3 y / 9 7 9 9 12 Compute the value of the test statistic. (Round your answer to nearest hundredth. Hint: The correct test statistic is positive.)arrow_forwardThe following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the a = 0.01 level of significance. Category 1 Category 2 Category 3 O Failures 59 54 81 Successes 43 62 29 Click the icon to view the Chi-Square table of critical values. State the hypotheses. Choose the correct answer below. O A. Ho: P1 = P2 = P3 H,: At least one of the proportions is different from the others. O B. Ho: The categories of the variable and success and failure are dependent. H1: The categories of the variable and success and failure are independent. O C. Ho: H1 = E, and µ2 = E2 and µ3 = E3 H1: At least one mean is different from what is expected. %3D %3D O D. Ho: The categories of the variable and success and failure are independent. H7: : The categories of the variable and success and failure are dependent. Compute the value of the chi-square test statistic. (Round to three decimal places as needed.) What…arrow_forward19. Which statement is correct? (A) The correlation coefficient and the intercept of the regression line always have the same sign. (B) The slope and the intercept of the regression line always have the same sign. (C) The correlation coefficient and the intercept of the regression line always have the same sign. (D) The correlation coefficient and the slope of the regression line always have the same sign. If you feel the answer is none of the choices given, submit no answer to the question.arrow_forward
- Just answer: According to the P value, what is the mean difference statistically significant? Based on the results, can you reject the null hypothesis? Is the entire staff operating at a good level?arrow_forwardAssume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd = 0. x / 6 2 3 2 3 y / 8 7 9 7 14 Compute the absolute value of the test statistic. (Round your answer to nearest hundredth. Hint: The correct test statistic is positive.)arrow_forward#12). Please show how you solved the problem. Circle answers. Q2 is already provided.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 Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics 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:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction 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