1 25 points A group of researchers claims that a city s collee of people favoring coffee over other beverages This claim was determined by conducting a hypothesis test at a significance level of 0 05 According to their test results they found evidence against the null hypothesis which stated that the true proportion is 35 Upon further investigation you found out that the test statistic for their test was 2 33 The researchers also revealed that the observed proportion of people who actually preferred coffee in their sample was 30 The researchers also hinted that they used a two sided test for their study COFFEE a 10 points Assuming the conditions for the central limit theorem are met estimate the sample size they might have used for this study b 5 points Under what conditions is the Central Limit Theorem applicable Are all the conditions met in this problem If not state what additional statement would need to be made