The proportion of adult women in a certain geographical region is approximately 51?%. A marketing survey telephones 500 people at random. Complete parts a through e below.

?a) What is the sampling distribution of the observed proportion that are? women?

A.Approximately Uniform

B.Approximately Normal

C.Approximately Exponential

D.None of these

b) What is the standard deviation of that proportion? (Round to three decimal places as needed.) 0) Would you be surprised to nd 53% women in a sample size of 500'? That is surprising because 0.53 is more than two standard deviations above mean. 'hat is not surprising because 0.53 is more than one standard deviation above mean. That is not surprising because 0.53 is less than one standard deviation above the mean. 9.097? That is surprising because 0.53 is less than one standard deviation above mean. d) Would you be surprised to nd 41% women in a sample size of 500? That is surprising because 0.41 is more than three standard deviations below the mean. That is not surprising because 0.41 is less than two standard deviations below the mean. 'hat is not surprising because 0.41 is more than three standard deviations below the mean. 9.0!\"? That is surprising because 0.41 is less than two standard deviations below the mean. e) Would you be surprised to nd that there were fewer than 195 women in the sample? Select the correct choice below and ll in the answer box within your choice. (Type an integer or a decimal.) {'3' A- That is not surprising since 195 women represents a proportion of , which is less than two standard deviations below the mean. {:3 5- That is surprising since 195 women represents a proportion of , which is less than two standard deviations below the mean. {:3 C. That is not surprising since 195 women represents a proportion of , which is more than three standard deviations below the mean. {:3 D- That is surprising since 195 women represents a proportion of , which is more than three standard deviations below the mean