Two website designs are being compared. 56 students have agreed to be subjects for the study, and they are randomly assigned to visit one or the other of the websites for as long as they like (i. e., half of this number are assigned to visit each of the websites). for each student the study directors record whether or not the visit lasts for more than a minute. for the first design, 11 students visited for more than a minute; for the second, 6 visited for more than a minute. perform the large-sample significance test (95% confidence) ( ± ± 0.0001).the pooled proportion(i. e., estimate of common proportion) p ˆ =sed =z =p -value =conclusion1)there is no evidence that the two designs are not equivalent2)there is evidence that the two designs are not equivalent(b) samples of first-year students and fourth-year students were asked if they were in favor of a new proposed core curriculum. among the first-year students, 88 said "yes" and 277 said "no". for the fourth-year students, 116 said "yes" and 106 said "no". perform the large-sample significance test (95% confidence) ( ± ± 0.0001).