Help with Stat word problems

Question

A sample of University of Penn students were surveyed. They were asked which of the following they prefer to drink: beer, water, or nether. And their biological sex was recorded. These data is present in the table below:

 

Random Sample Data

_________________________________________________________________________________________

Preferred Drink.    Female       Male

Beer               61          137

Wine               144         44

Neither             76           62

Question Set 2_A:

Compute the relative risk by comparing the proportion of males who prefer beer to the proportion of females prefer beer.

 

Question Set 2_B:

Interpret the relative risk that you computed in Question Set 2A.

 

Question Set 2-C:

In Minitab conduct a chi-square test independence to determine if there is evidence of a relationship between beverage preference and biological sex in the population of all World Campus students. Use the five step hypothesis testing procedure. For an example of how to enter data from the table into Minitab, see 11.3.3.3 in the online notes.

Step 1a. Check assumption. Note the assumption for a chi-square distribution is that all expected counts are at least 5.

 

Question Set2_C:

Step 1B: State your hypothesis for Ho& Ha

Answer 1

2_A:

To compute the relative risk, we need to compare the proportion of males who prefer beer to the proportion of females who prefer beer.

The proportion of males who prefer beer is given by:

Proportion of males who prefer beer = Number of males who prefer beer / Total number of males

Proportion of males who prefer beer = 137 / (137 + 44 + 62) ≈ 0.5302 (rounded to 4 decimal places)

The proportion of females who prefer beer is given by:

Proportion of females who prefer beer = Number of females who prefer beer / Total number of females

Proportion of females who prefer beer = 61 / (61 + 144 + 76) ≈ 0.2145 (rounded to 4 decimal places)

Now, we can compute the relative risk:

Relative risk = Proportion of males who prefer beer / Proportion of females who prefer beer

Relative risk = 0.5302 / 0.2145 ≈ 2.4702 (rounded to 4 decimal places)