Question: In a mixed rural and printing industry township in England, a local family practitioner believes that the wives of the printers and farmers should be encouraged to breast feed their babies. She has records for her practice going back over 10 years, in which she has noted whether the mother breast fed the baby for at least 3 months or not, and these records show whether the husband was a printer or a sheep farmer (other occupations were excluded). The figures from her records are set out in the Table for Question 4 below:

The practitioner noted that there was considerable disparity among the breast feeding acceptance between the farmer and printer classification, The disparity seems considerable, for, although 36% of the printers' wives breast fed their babies for three months or more, as many as 49% of the farmers' wives did so. The Practitioner wishes to find out if this is a significant difference, realizing that sampling variation is present.

Numbers of wives of printers and farmers who breast fed their babies for less than 3 months or for 3 months or more

a) State the null and alternative hypotheses.

b) Using an alpha level of 0.05 or 0.01 (you pick the a level you want) carry out the Chi-Square test.

c) State the quantitative results and conclusion based on your Chi-Square test.

d) Considering the p value of the resultant Chi Square test, does it make any difference in this case, if you picked an alpha level Chi Square test of 0.05 or 0.01? (explain your answer briefly)