You work fora lobby group that Is trying to conwnce the government to pass a new law. Before embarking on this, your lobby group would like to know as much as possible about the level of community support for the new law. Your colleague, based on his research into community opinion on related matters, proposes that 31% of the community support the law. You decide to survey 100 people, and nd that 26% of this survey support the law. a) Based on the assumptlon that the population proportion is 31%, calculate the zscore of the sample proportion in your survey. Give your answer as a decimal to 2 decimal places. b) Determlne the proportion of the standard normal distribution that lies to the left of this zscore. That is, determine the area to the left of this zscore in the standard normal distribution. You may nd this standard normal table useful. lee your answer as a percentage to 2 decrmal places. (2) Denote by x% the percentage proportion you calculated in part b). Consider the following ve potential conclusions: A: There is a chance of x% that your friend is correct, that the true population proportion is 31%. B: If your colleague is correct and the true population proportion is 31%, then x% of all samples will produce a sample proportion of 26% or lower. (3: If your colleague is correct and the true population proportion is 31%, then x% of all samples will produce a sample proportion of 26% or higher. D: There is a chance of x% that the true population proportion is 31% or lower. E: There is a chance of x% that the true population proportlon is 31% or higher. Select the statement that can be inferred from your findings