A review of 100 opera patrons was conducted.  Respondents were asked how often they attended the symphony in a neighbouring city.  The frequency of attendance was partitioned into the categories of never, occasionally (1 or 2 times), and often (3 or more times).  Respondents were also asked whether they regarded the location of the symphony as convenient or inconvenient. The cross-tabulation below determines the distribution of respondents.  Using these data, we are interested in examining the relationship among attendance at the symphony and whether the location of the symphony is regarded as convenient or inconvenient.

                                                0              1 or 2     3 or more   TOTAL

Convenient                              3              15           25                    43

Inconvenient                           5                35           17                    57

TOTAL                                     8                 50           42                    100

1a)  Write down the null and the alternative hypotheses.

1b)  Calculate the statistic to test the null hypothesis by using the data as presented in the table above without modifying the structure of the table.  Show your calculations