Exam 8: Inferences About Proportions

Luke wants to know if the same proportion of scuba divers prefer east coast diving destinations as compared to west coast diving destinations when selecting where to vacation. He randomly samples 500 scuba divers and determines which coast they prefer (east vs. west coast; nominal measurement scale). Which statistical procedure is most appropriate to use to test the hypothesis?

Which of the following standardized residuals is contributing to a statistically significant chi-square statistic, given an alpha of .01?

Which of the following standardized residuals is contributing to a statistically significant chi-square statistic, given an alpha of .05?

For a random sample of 25 students, 20 passes the exam and 5 did not attend pass the exam. Test the following hypotheses at the .01 level of significance: :\pi=.75 :\pi.75

How many degrees of freedom are there in a 3 x 6 contingency table when the chi-square test of association is used?

Lilo wants to know if equal proportions of students in her class know how to surf as compared to do not know how to surf. She randomly samples 50 students in her class and asks them if they know how to surf (yes or no). Twenty students indicate 'no,' that they do not know how to surf while 30 students indicate 'yes,' they do know how to surf. Using SPSS, conduct the appropriate statistical procedure at alpha of .05. Interpret the output including identifying the specific statistical procedure that has been used and reporting the extent to which the test is statistically significant. Include appropriate evidence (e.g., values from the output).

A restaurant owner wants to determine if the same proportion of individuals select Pepsi versus Coke. She keeps count of the number of people who order Pepsi and Coke on randomly selected days thus information for only one nominally scaled variable (two levels: Pepsi or Coke) is collected. Which statistical procedure is most appropriate to use to test the hypothesis?

Which of the following is a correct interpretation of Cohen's w = .29?

Oscar wants to know whether a person's music preferences are related to the region of the country in which he or she resides. He randomly samples 10,000 adults nationwide and collects data on two variables: 1) music preference, a nominal variable with three levels (country, jazz, pop); and region, a nominal variable with four levels (north, south, east, west). Which statistical procedure is most appropriate to use to test the hypothesis?

Which of the following is a correct interpretation of Cohen's w = .09?