The Broadbent Opinion Research Organization assigned a pollster to collect data from 30 randomly selected adults. As the data were submitted to the company, the genders of the interviewed subjects were noted. The sequence obtained is shown in the accompanying list.
a. At the 0.05 significance level, test the claim that the sequence is random.
b. At the 0.05 significance level, test the claim that the proportion of women is different from 0.5.
c. Use the sample data to construct a 95% confidence interval for the proportion of women.
d. What do the preceding results suggest? Is the sample biased against either gender? Was the sample obtained in a random sequence? If you are the manager, do you have any problems with these results?

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