(a)\(\displaystyle\overbrace{{{p}}}={0.5300},\overbrace{{{q}}}={0.4700}\)

(b)90% confidence interval: (0.3186, 0.3516)

95% confidence interval: (0.5092, 0.5508)

(c)The 95% confidence interval is wider than the 90% confidence interval.

(b)90% confidence interval: (0.3186, 0.3516)

95% confidence interval: (0.5092, 0.5508)

(c)The 95% confidence interval is wider than the 90% confidence interval.