You work for a lobby group that is trying to convince thegovernment to pass a new law. Before embarking on this, your lobbygroup would like to know as much as possible about the level ofcommunity support for the new law.

Your colleague, based on his research into community opinion onrelated matters, proposes that 32% of the community support thelaw. You decide to survey 100 people, and find that 27% of thissurvey support the law.

a)Based on the assumption that the population proportion is 32%,calculate the z-score of the sample proportion in your survey. Giveyour answer as a decimal to 2 decimal places.

z =

b)Determine the proportion of the standard normal distributionthat lies to the left of this z-score. That is, determine the areato the left of this z-score in the standard normal distribution.You may find this standard normal table useful. Give your answer asa percentage to 2 decimal places.

Area =  %

c)Denote by x% the percentage proportion you calculated in partb). Consider the following five potential conclusions:

A: There is a chance of x% that your friend is correct, that thetrue population proportion is 32%.

B: If your colleague is correct and the true populationproportion is 32%, then x% of all samples will produce a sampleproportion of 27% or lower.

C: If your colleague is correct and the true populationproportion is 32%, then x% of all samples will produce a sampleproportion of 27% or higher.

D: There is a chance of x% that the true population proportionis 32% or lower.

E: There is a chance of x% that the true population proportionis 32% or higher.

Select the statement that can be inferred from yourfindings:

A
B
C
D
E