a) What is the observed proportion of apartments which exclude renters with children ?

I have 0.816 for this, is this correct?

b) What is the true proportion of apartments which exclude renters with children ?

is this 0.75?

c) Compute the standard error of the observed proportion.

d) Find the 95 percent confidence interval for the true proportion of apartments which exclude renters with children.

e) Is the 99 percent confidence interval wider or narrower than the 95 percent confidence interval ?

I have that it is wider.

f) For the question above, test the hypothesis that the true proportion of apartments which exclude renters with children is greater than 75 percent.

- What is the null hypothesis ?

g) b) What is the alternative hypothesis ?

Is it p > 0.75?

h) Compute the value for the test statistic.

i) Compute the P-value.

Is this 0.04?

j) Would you reject the null hypothesis at significance level 0.01 ?

k) Suppose the test statistic in a similar study conducted elsewhere was found to be 4.21. Would you reject the null hypothesis at significance level 0.01 ?