Use software to test the null hypothesis of whether there is a relationship between the two classifications, A and B, of the 3 × 3 contingency table shown below. Test using a = 0.05. NOTE: You may do this by hand, but it will take a bit of time. B B2 B3 Total A1 80 65 78 223 A2 51 78 71 200 A3 68 46 52 166 Total 199 189 201 589 (a) x² (b) Find the degrees of freedom. (C) Find the critical value. x?
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- Fill in the blank. The is a nonparametric test that uses ranks of sample data from two independent populations to test the null hypothesis that the two independent samples come from populations with equal medians. The is a nonparametric test that uses ranks of sample data from two independent populations to test the null hypothesis that the two independent samples come from populations with equal medians.Suppose that you were conducting a chi-square (Χ²) test of independence between undergraduate major (Biology or Psychology) and the decision to pursue nursing (Yes or No). What are the degrees of freedom for this chi-square test? 2 4 1 3Surprisingly, a study found that children under stress reported fewer symptoms of depression and anxiety but scored higher on a Lie Scale (a measure of tendency to give socially desirable responses). The population mean for the Lie Scale for nonstressed children is 3.8. The sample of 24 children's scores are listed below. Test the hypothesis that children under stress are more likely to give socially desirable answers. Write a complete conclusion in the context of the problem. 2.9 3.3 5.0 3.7 3.9 3.7 3.4 4.3 4.2 3.8 4.7 4.1 4.3. 3.6. 4.6. 2.9. 4.2. 4.0. 4.5. 4.4 4.0. 3.5 4.4. 4.7
- A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 700 households in that country, 399 say they own a pet. At a= 0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H, and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. The percentage households in the country' that own a pet is not %. O B. Less than % of households in the country own a pet. O C. More than % of households in the country own a pet. O D. % of hoúseholds in the country own a pet.Complete a-c for c do we reject or accept the p-value due to sufficient or insufficient evidence?When using the t test, we reject H0 _________.
- A high school physics teacher wondered if his students in the senior class this year will be more likely to go into STEM majors than Social Science and Liberal Arts major. He asked each of his 50 students about their first choice for major on their college applications and conducted a Chi-square test for goodness of fit with an alpha level of .05 to see if the number of students choosing each category differs significantly. -20 - STEM -20 - Social Sciences -10 - Liberal arts What is the variable in this test? What type of variable is it, and what are the null and alternative hypothesis?When a group of subjects entered a room, researchers recorded both the color of shirt worn by thesubject, and whether or not the subject smiled. The results are recorded below. With 0.05significance, test the claim that color of shirt and smiling are independent. Use your calculator.Smiled No SmileGreen Shirt 15 10Blue Shirt 13 7Yellow Shirt 5 8hp F8 F9 F10 F11 F12 Print Sc 7. An experiment was carried out to determine if restrictive labels on video games actually increase the attractiveness of the game for young game players. Participants read a description of a new video game and were asked how much they wanted to play the game. The description also included an age rating. Some participants read the description with an age restriction level of 7+, indicating that the game was not appropriate for children under the age of 7. Others read the same description, but with an age restrictive label of 12+, 16+, or 18+. Use following data was for 12- to 13-year-old boys, you can assume that the boys were assigned at random to one of the four age label treatments (7+, 12+, 16+, ans 18+). Data shown are the boys' ratings of how much they wanted to play the game on a scale of 1 to 10. Do the data provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four…
- The director of student recruitment is interested in the ACT scores for the incoming Freshmen class. A group of 300 students is surveyed and the research finds that these students have an average ACT score of 21. For this study, the average of 21 is an example of a(n) ___________.Which of the following can be assessed by a dependent T-Test? Group of answer choices the score means of two distinct group the score means of pre and post tests from same participants the score means of three distinct groupRABCD X₁ 12 20 2 A researcher is interested in seeing if listening to a political debate changes anxiety scores among people. The researcher knows of no previous research that would predict whether anxiety scores would be raised or lowered. The researcher gathers a sample of n = 4, and gives these participants an anxiety test before and after listening to the political debate. Below are the data (anxiety scores) at time one (X₁) and time two (X₂) for all participants. Participant 10 10 X₂ 28 24 26 18 b.) Is this a one or a two-tailed test? a.) State the researcher's null and alternative hypotheses (using symbols OR everyday language): c.) Find the critical value (alpha = .05) d.) Compute the observed test statistic (remember to show your work) 5 e.) Based on the information above, what is your statistical conclusion? f.) Describe briefly what we can conclude in practical terms 6 g.) Based on the results above, calculate a Cohen's d and interpret what this tells us about the difference…