Acertain forum reported that in a survey of 2009 american adults, 23% said they believed in astrology.

(a) calculate a confidence interval at the 9% confidence level for the proportion of all adult americans who believe in astrology. (round your answers to three decimal places.)
interpret the resulting interval.

a. we are 99% confident that the true population mean lies above this interval.
b. we are 99% confident that the true population mean lies below this interval.
c. we are 99% confident that this interval does not contain the true population mean.
d. we are 99% confident that this interval contains the true population mean.

(b) what sample size ould be required for the width or a 99% ci to be at most 0.05 irrespective of the value of p? round your answer up to the nearest intege