A local politician claims that 46% of her constituents favour a total ban on smoking in commercial establishments. A tobaco company believes that this figure is high and in fact less than 46% favour a...

A local politician claims that 46% of her constituents favour a total ban on smoking in commercial establishments. A tobaco company believes that this figure is high and in fact less than 46% favour a smoking ban. The tobaco company hires a research firm to conduct a study in the politician's riding. The results of the study indicate that of the 3363 politician's constituents, 43% favour a total smoking ban.
At a 0.05 significance level, test the tobaco company's claim that less than 46% of politician's constituents favour a total smoking ban.
a) Identify the null hypothesis and alternative hypothesis. Ho: p = 46% H1: p # 46%. Ho: p s 46% p > 46%. Ho: p a 46% p

b) State the critical value. For full marks your answer should be accurate to at least two decimal places. Critical value: 0 I
c) Determine the value of the test statistic. For full marks your answer should be accurate to at least three decimal places. Test statistic: 0 I
d) Identify the correct interpretation. Since the test statistic is in the critical region, reject Ho and accept H1. Since the test statistic is in the critical region, accept Ho and reject H1. Since the test statistic is not in the critical region, reject Ho and accept H1. Since the test statistic is not in the critical region, accept Ho and reject H1.