In: Statistics and Probability
Shoppers were asked about their regular grocery shopping locations. The table below shows the responses of the sampled shoppers.
Gender |
Safeway |
Walmart |
Costco |
Total |
Female | 200 | 70 | 105 | 375 |
Male | 75 | 40 | 40 | 155 |
Total |
275 | 110 | 145 | 530 |
Can it be concluded that gender is dependent on where someone shops for groceries? Let α = 5 %.
a. What would be the correct null hypothesis? (Choose one: Independent/Dependent)
b. How many degrees of freedom would we have in this test?
c. What is the expected value of the cell for Females that shop at Walmart? Round to one decimal place.
d. What contribution to the test statistic does the cell Females that shop at Walmart have? Round to three decimal places.
e. Suppose that the full test statistic was 3.404. What would be the p-value? Round to four decimal places.
f. Using the above work, we can (Choose one: Reject/Fail to Reject) the null hypothesis. We can conclude that gender (Choose one: is/is not) dependent on where someone shops for groceries.