4 (Chapter 15) A chi-square test involves a set of counts called expected counts. What are the expected counts? i. Hypothetical counts that would occur if the null hypothesis were true. ii. Hypothetical counts that would occur if the alternative hypothesis were true iii. The actual counts that did occur in the study. Question 5 (Chapter 15) Chi-Square Name that Scenario -- Select the appropriate Chi Square test that should be used to address each of the following research questions. a. Sparked by recent controversy, researchers wanted to study if there is a relationship between receiving a certain vaccine and developing signs of autism. For 175 children, the researchers tallied whether or not a child received the vaccine and also whether the child developed no signs of autism, a few signs of autism, or many signs of autism. i. Test of Goodness of Fit ii. Test of Homogeneity iii. Test of Independence (1 pts) b. Faced with budget cuts, a city administrator would like to know voters' preferences for changes to funding. A sample of 50 women and a separate sample of 50 men were taken and the voters were asked if they'd rather see cuts to public art programs, public transportation programs, or parks and recreation programs. The city administrator wondered if preferences were the same for men and women. i. Test of Goodness of Fit ii. Test of Homogeneity iii. Test of Independence (1 pts) c. A university facilities manager sought to improve building access for people with disabilities for a building with 5 sets of doors. In order to decide which sets of doors to the building would benefit most from improvements, the manager surveyed 64 students and asked which set of doors of the 5 they most commonly used. The manager wants to test if the 5 sets of doors are used equally often. i. Test of Goodness of Fit ii. Test of Homogeneity iii. Test of Independence Question 6 (Chapter 12) True or False? If the null hypothesis is actually true, then it is not possible to make a Type I error. 1. True 2. False Question 7 (Chapter 13) Is the following statement True or False? Hypotheses and conclusions from hypothesis testing apply only to the samples on which they are based. 1. True 2. False Question 8 (Chapter 13) Is the following statement True or False? The p-value is a probability that the null hypothesis is true. 1. True 2. False Question 9 (Chapter 17) Name that Scenario: One important aspect in statistics is to understand which statistical methods or procedures are appropriate to use to address the research problem or question of interest. For each description of a research question below, select the one corresponding statistical analysis technique most appropriate for addressing that research question. a. The polling organization surveys 1000 people in a large community to assess if the percentage of people in the community living in a mobile home is more than 10%. i. Simple linear regression ii. One-sample t-test for a population mean iii. Paired t-test for a population mean difference iv. Two-sample t-test for the comparison of two population means v. One-sample Z-test for a population proportion vi. Two-sample Z-test for the comparison of two population proportions vii. ANOVA for comparing many population means viii. Chi-squared test of goodness of fit ix. Chi-squared test of independence x. Chi-squared test of homogeneity (1 pts) b. A polling organization surveys 1000 people in a large community to assess if the average number of hours that people watch television is more than 5 hours a day. i. Simple linear regression ii. One-sample t-test for a population mean iii. Paired t-test for a population mean difference iv. Two-sample t-test for the comparison of two population means v. One-sample Z-test for a population proportion vi. Two-sample Z-test for the comparison of two population proportions vii. ANOVA for comparing many population means viii. Chi-squared test of goodness of fit ix. Chi-squared test of independence x. Chi-squared test of homogeneity (1 pts) c. The polling organization surveys 1200 adults, records their age (in years) and how many hours they typically spend watching television per day, to assess if there is a significant relationship between age and hours of daily television viewing. i. Simple linear regression ii. One-sample t-test for a population mean iii. Paired t-test for a population mean difference iv. Two-sample t-test for the comparison of two population means v. One-sample Z-test for a population proportion vi. Two-sample Z-test for the comparison of two population proportions vii. ANOVA for comparing many population means viii. Chi-squared test of goodness of fit ix. Chi-squared test of independence x. Chi-squared test of homogeneity (1 pts) d. The polling organization polls people on a regular basis to monitor their changing confidence in the economy. The organization creates a numerical index (from 0 to 100) of confidence in the economy from answers to a questionnaire. Based on a random sample of people who were polled both in 2011 and again in 2012, the organization will assess if confidence in the economy changed from 2011 to 2012, on average. i. Simple linear regression ii. One-sample t-test for a population mean iii. Paired t-test for a population mean difference iv. Two-sample t-test for the comparison of two population means v. One-sample Z-test for a population proportion vi. Two-sample Z-test for the comparison of two population proportions vii. ANOVA for comparing many population means viii. Chi-squared test of goodness of fit ix. Chi-squared test of independence x. Chi-squared test of homogeneity (1 pts) e. The polling organization conducts a survey of adults between the ages of 30 and 50 years old to assess if there is an association between marital status (married, divorced, never-married) and smoking status (smoker, non-smoker). i. Simple linear regression ii. One-sample t-test for a population mean iii. Paired t-test for a population mean difference iv. Two-sample t-test for the comparison of two population means v. One-sample Z-test for a population proportion vi. Two-sample Z-test for the comparison of two population proportions vii. ANOVA for comparing many population means viii. Chi-squared test of goodness of fit ix. Chi-squared test of independence x. Chi-squared test of homogeneity (1 pts)