In: Statistics and Probability
For spring 2013 senatorial election in Colorado between Democratic incumbent Allison Boxer and Republican challenger Carly Fiorina, the CNN exit poll of 3870 voters indicated that 2180 (56.3%) of those voters voted for Boxer and 1690 (43.7%) voted for Fiorina or another candidate.
Of the 9,534,523 Cali voters in the actual election, 54.7% voted for Boxer while 45.3% did not vote for Boxer (voted for Fiorina, other).
a) Identify the data distribution. Use 0 for Fiorina/other; 1 for Boxer.
b) Identify the population distribution: Use 0 for Fiorina/other; 1 for Boxer.
c) Find the population proportion, p and population standard deviation.
d) Demonstrate the sampling distribution of the sample proportion is approximately normally distributed.
e) Using your results, what is the sampling distribution of the sample proportion who voted for Barbara Boxer? You may use a descriptive to demonstrate.