A company is about to enter into wage negotiations with its workers and must choose between enterprise (collective) bargaining or individual contracts as its mode of negotiation. Out of a sample of 165 blue collar workers 112 preferred enterprise bargaining while 23 out of 48 white collar workers preferred enterprise bargaining. Using this information, answer the following questions.

(a) At a 5% significance level, is there a significant difference between the proportion of blue collar and white collar workers who prefer enterprise bargaining? Use a chi-square test for the difference between two proportions.

(b) Estimate the p-value for the test statistic (use our textbook statistical table to answer the question).