webasslgn.net/web/Student/Assignment-Responses/last?dep \( =33426115 \) Slisterss sithers whels Barist Paham Answar 10. \( [-/ 3 \) Points] DETAILS MY NOTES PECKDEVSTAT7 12,E.014. ASK YOUR TEACHER PRACTICE ANOTHER A particular state university system has 4 campuses. On each campus, a random sample of students will be selected, and each student will be categorized with respect to political philosophy as liberal, moderate, or conservative. The null hypothesis of interest is that the proportion of students falling in these three categories is the same at all 4 campuses. (a) On how many degrees of freedom will the resulting test \( x^{2} \) be based? \( \square \) (b) How does your answer in Part (a) change if there are 5 campuses rather than 4 ? \( \square \) (c) How does your answer in Part (a) change if there are 4 rather than 3 categories for political philosophy? \( \square \) You may need to use the appropriate table in Appendix A to answer this question. Submit Answer Home My Assignments Request Extension
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The problem involves testing whether the proportions of students categorized as liberal, moderate, or conservative are the same across all campuses of a university system. This is a test of homogeneity across different groups (campuses) for categorical data, which Show more…
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A particular state university system has five campuses. On each campus, a random sample of students will be selected, and each student will be categorized with respect to political philosophy as liberal, moderate, or conservative. The null hypothesis of interest is that the proportion of students falling in these three categories is the same at all 5 campuses. (a) On how many degrees of freedom will the resulting χ2 test be based? (b) How does the answer in part (a) change if there are 8 campuses rather than 5? (c) How does the answer in part (a) change if there are 6 rather than 3 categories for political philosophy?
Rosina D.
A particular state university system has six campuses. On each campus, a random sample of students will be selected, and each student will be categorized with respect to political philosophy as liberal, moderate, or conservative. The null hypothesis of interest is that the proportion of students falling in these three categories is the same at all six campuses. a. On how many degrees of freedom will the resulting $X^{2}$ test be based? b. How does your answer in Part (a) change if there are seven campuses rather than six? c. How does your answer in Part (a) change if there are four rather than three categories for political philosophy?
Cheng Z.
Chapter 10: 10.9 The normal range for a widely accepted measure of body size, the body mass index (BMI), ranges from 18.5 to 25. Using the mid-range BMI score of 21.75 as the null hypothesized value for the population mean, test this hypothesis at the .01 level of significance given a random sample of 30 weight-watcher participants who show a mean BMI=22.2 and a standard deviation of 3.1. Question: Calculations or Logic: Answer: Step 1 What is the research problem? Step 2 What is the null hypothesis? What is the alternative hypothesis? Step 3 What is the decision rule? Step 4 What is the value of the observed z? (you will need to calculate this) Step 5 What is the decision? (retain or reject the null hypothesis at the specified level of significance; note the relationship between the observed and critical z scores) Step 6 What is your interpretation of the decision in relation to the original research problem? 10.10 Let’s assume that over the years, a paper and pencil test of anxiety yields a mean score of 35 for all incoming college freshmen. We wish to determine whether the scores of a random sample of 20 new freshmen, with a mean of 30 and a standard deviation of 10, can be viewed as coming from this population. Test at the .05 level of significance. Question: Calculations or Logic: Answer: Step 1 What is the research problem? Step 2 What is the null hypothesis? What is the alternative hypothesis? Step 3 What is the decision rule? Step 4 What is the value of the observed z? (you will need to calculate this) Step 5 What is the decision? (retain or reject the null hypothesis at the specified level of significance; note the relationship between the observed and critical z scores) Step 6 What is your interpretation of the decision in relation to the original research problem? 10.11 According to the California Educational Code, students in grades 7–12 should receive 400 minutes of physical education every 10 school days. A random sample of 48 students has a mean of 385 minutes and a standard deviation of 53 minutes. Test the hypothesis.
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