You suspect that a greater proportion of doctors' offices in cities keep patient records electronically than those in smaller towns. You take a sample of 50 offices from cities, and find that 32 keep records electronically, while in your sample of 35 from towns, 18 did so. 1.)What is the sample proportion for city offices (to three decimal places)

2.) What is the point estimate for the difference between population proportions (to at least three decimal places)?

3.) The next several questions refer to determing a confidence interval for the difference in population proportions, at the 99% confidence level. a.) What is the z or t score to be used (to at least three decimals)

b.) What is the margin of error (E) (to at least two decimals)?

c.) What is the LOWER limit of the interval (to at least two decimals)?

4.) The next several questions refer to doing a hypothesis test that the population proportion for cities is greater than for towns, at the 90% confidence level. a.) What is the correct alternative hypothesis?

b.) What is the correct null hypothesis?

c.) What is the value of the test statistic (i.e., z, t, chi-square, F, etc.--depending on the test/distribution you are using)? Give your answer to at least two decimal places.

d.) What formula should be used to calculate the p-value, if doing the calculation without a tool? (Here concentrate the on the structure. CDF refers to whichever distribution you are using: norm.s.dist, t.dist, etc.)

e.) What is the p-value (to at least two decimal places)?

f.) What is the correct conclusion?