The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories, Use the table to complete parts (a) and (b) below. X, X2 Y, 30 42 53 (33.19) (43.08)(48.73) 17 19 (13.81)(17.92) (20.27) Y2 16 (a) Compute the value of the chi-square test statistic. Y = (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the a = 0.001 level of significance. O A. Ho: The Y category and X category have equal proportions. H,: The proportions are not equal. O B. Ho: The Y category and X category are dependent. H,: The Y category and X category are independent. OC. Ho: The Y category and X category are independent. H,: The Y category and X category are dependent. O D. Ho: Hx=E, and Hy = Ey H: H, #E, or Hy#Ey What is the P-value? P-value = (Round to three decimal places as needed.) Should the null hypothesis be rejected? O A. Yes, reject Ho. There is not sufficient evidence at the a= 0.01 level of significance to conclude that X and Y are dependent because the P-value

A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?

Consider the data that was obtained from a random sample of 41 credit card accounts. Identify all the averages (mean, median, or mode) that can be used to summarize the name of credit card (e.g., MasterCard, Visa, American Express, etc.) O median if it exists mean and mode if it exists O mean, median, and mode if it exists O mode if it exists mean if it exists

A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours of Sleep Age Group 39 or younger 40 or older Fewer than 6 40 38 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 63 90   (a) Conduct a test of independence to determine whether hours of sleep are independent of age.   State the null and alternative hypotheses. H0: Hours of sleep per night is not independent of age.Ha: Hours of sleep per night is independent of age.   H0: Hours of sleep per night is independent of age.Ha: Hours of sleep per night is not independent of age.       H0: The proportion of people who get 8 or more hours of sleep per…