The Australian BankingAssociation conducts a survey every five years into the status ofwomen in the banking industry, including aspects relating toworking hours. In the 1997 survey, which incorporated 705respondents, 211 reported working more than 50 hours per week. Ofthe 620 respondents to the 2002 survey, 224 reported to be workingin excess of 50 hours per week. The Australian Bankers Associationis interested if there has been any change in work patterns andwished to test this proposition at the 10% level ofsignificance.

1. If the hypothesesare written in the form of the proportion in 1997 minus theproportion in 2002, state the direction of the alternativehypothesis used to test whether there has been a change inattitudes. Type gt (greater than), ge (greater than or equal to),lt (less than), le (less than or equal to) or ne (not equal to) asappropriate in the box
2. Calculate the test statistic for the Z test correct to twodecimal places.
3. Use the tables in the text to determine the critical value usedto conduct the test. If there are two critical values, state onlythe upper value.
4. Is the null hypothesis rejected for this test? Type yes orno.
5. Hence, on the basis of this test, does there appear to have beena change in the working patterns of women in the banking industry?Type yes or no.