Magine that a proper survey find that a 53 out of 96 votes in a certain county support a bill that will defer loan payment for first responders during the times of pandemic.

a. compute a 95% confidence interval for the proportion of all voters in the county who support the bill

b. interpret your interval with a sentence that starts with "we are 95% confident that"

c. does this interval support the claim that the proportion of all voters in the county who support the bill is higher than 67%?