Refer to the data on percent malt extract in Table D.8 of the Data Bank. A computer summary of a level a = .05 test of H0: p = 77 versus a two-sided alternative and a 95% confidence interval is given below.

(a) Will the 98% confidence interval for mean malt extract be smaller or larger than the one in the printout? Verify your answer by determining the 98% confidence interval.
(b) Use the value for Z to test the null hypothesis H0: μ = 77.0 versus the one-sided alternative H1: μ > 77.0 with α = .05 level.

One-Sample Z: malt extract (%) Test of mu = 77 vs mu not = 77 Variable Mean StDev malt extract 40 77.458 1.101 Variable 95 . 0% CI malt extract (77.116, 77.799) 2.63 0.009