For the next 3 parts, identify the one hypothesis test that is most appropriate to the given situation.
a. one sample z-test
b. one sample t-test
c. paired-samples t-test
d. independent sample t-test
e. anova
f. test of one proportion
g. test of two proportions
h. chi-squared test of independence
a) 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 of managers of successful start-up companies is independent of the country they are from (united states and korea). which hypothesis test would be most appropriate for this analysis?
b) a human resources manager reported data from a recent involuntary reduction in force (rif) at her company. you are an attorney and want to determine if age discrimination was a factor (it is illegal to 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 analysis?
c) a survey was conducted by a group of state lotteries. a random sample of 2406 adults completed the survey. a total of 248 were classified as “heavy” players. of these, 152 were male. you want to determine if the proportion of male “heavy” lottery players is different than the proportion of males in the population, which is 48.5%. which hypothesis test would be most appropriate for this analysis?