A study of the population of female tea drinkers showed that out of a sample of 165 female tea drinkers surveyed, 46 said their tea of choice is a herbal tea. Carry out a hypothesis test to determine if this gives evidence that more than 20% of the population of female tea drinkers prefer a herbal tea, i.e test the hypothesis p > 0.20, at significance level =0.05.

(b) For the herbal tea drinkers in the female sample their tea of choice was recorded as one of five categories, giving the following summary counts.

Observed Herbal Tea: Frequency Chamomile 13 Rooibos Peppermint OF NOO Ginger Other Total 46