1. Binomial Probabilities, where n = 14 and p = 0.40, what is the p- value of

(a) Four or fewer successes;

(b) four or more successes;

(c) more than four successes;

(d) fewer than four successes;

(e) exactly four successes;

(f) no successes?

2. A study of the commuting patterns of the residents of Northboro showed that, in a random sample, 141 of 300 persons commuted by privately owned automobile. At the same time, a random sample of the resident of Southboro showed that 123 of 300 persons commuted by privately owned automobile. Use the 0.05 level of significance to test the null hypothesis that there is no difference between the corresponding proportions of persons in these two large cities who commute by privately owned automobile.

3. In a survey of investor attitudes, 140 were interviewed in Mexico City, 160 in Toronto, and 250 in New York City, and 91, 104 and 170 investors, respectively, think that the prices of stocks traded on the New York Stock Exchange will rise over the next month. The remaining investors are uncertain or think that stock prices will fall over the next month. Use the level of significance α = 0.05 to test the null hypotheses that there is no difference in the true proportion of investors in these three cities who think that stock prices will rise over the next month.

4. In studying problems relating to its handling of reservations, an airline takes random samples of 60 of the complaints about reservation filed in each of four cities. If 49 of the complaints from city A, 54 of the complaints from city B, 41 of the complaints from city C, and 48 of the complaints from city D are about overbooking, test at the 0.05 level of significance whether the difference among the corresponding sample proportions can be attributed to chance.