2 Lesson Summaries Click on the link at right for a review of the summaries from

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2 Lesson Summaries Click on the link at right for a review of the summaries from each lesson. Show Summaries 3 Review Questions Questions 1 through 4: Decide which hypothesis test to use. Here is a list of hypothesis tests we have studied so far this semester. For each question identify the one hypothesis test that is most appropriate to the given situation. You may use a hypothesis test once, more than once, or not at al a. One sample z-test b. One sample t-test C. Paired-samples t-test d. Independent sample t-Hest e. ANOVA t. Test of one proportion g. Test of two proportions h. Chi-Squared test of independence 1. In an article in the Journal of Small Business Management successful start-up businesses in the United States and Korea were compared. One set of data compared educational level (high school, undergraduate degree, master's degree, doctoral degree) of people who managed successful start-up companies in the United States and Korea. You want to determine if education level differs between managers of successful start-up companies differs between these two countries. Which hypothesis test would be most appropriate for this analysis? 2. A human resources manager reported data from a recent involuntary Reduction in Force (RIF) at her company You are an atomey and want to determine if age discrimination was a discriminate against employees because of age). The company reported the number of employees in two groups: 40 years old or younger, and over 40 years old. They also reported the number of employees in each group who were terminated. You want to determine if both age groups were treated equally, Which hypothesis test would be most appropriate for this analysi s? 3. A survey was conducted by a group of state lotteries. A random sample of 2406 adults completed the survey, A totai of 248 were ciassfied as "heavy' players. or these, 152 were male. You want to determine if the proportion of male "heavy lottery players the proportion analysis? is different than the proportion of males in the population, which is 48.5%, which hypothesis test would be most appropriate to this 4. A student project compared the effectiveness of two different combination locks. One of the locks turned dlockwise first and the other lock turned in the study. Each student was given the combination to each lock and asked to open the lock open. Which hypothesis test would be most appropriate for this analysis? counterclockwise first. They asked 25 students to participate one of the locks is easier to s. The time it took them to open each lock was recorded. They want to determine it 552 PM 3/2018

Explanation / Answer

(1) Chi-Squared test of independence, because we would like to check whether educational level of the managers and the nationality of the managers are independent or not.

(2) Test of two proportions, because we will be comparing whether the proportion of terminated employees above 40 years old and the proprotion of terminated employees who are 40 years old or younger is equal or not.

(3) Test of one proportion, because we are checking whether the proportion is different from 0.485 or 48.5%.

(4) Paired-samples t-test, because a single student is opening both the locks and the time to open both the locks are recorded separately for each student.

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