Amy is interested in moving to California but isn€™t certain which city she€™d prefer. One variable of interest to her is the proportion of rainy days in each city. She took a random sample of days from 2010 for each of the four biggest cities in California (Los Angeles, San Francisco, San Diego, and San Jose) and recorded the results in Table D.14. If a day contained any precipitation it is considered a rainy day.

Table D.14

(a) Is the chi-square distribution appropriate for testing this two-way table?
(b) Perform the appropriate test to determine if the proportion of rainy days is different among these four cities.
(c) State your conclusion(s). If there is a significant difference, which city would you advise Amy to move to if she does not like rainy days?

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Total LA SF SD SJ 35 121 6. 17 3 Rain 22 63 No Rain 21 20 156 Total 25 23 23 85 3.