In a large clinical? trial, 395 comma 679 children were randomlyassigned to two groups. The treatment group consisted of 197 comma927 children given a vaccine for a certain? disease, and 36 ofthose children developed the disease. The other 197 comma 752children were given a? placebo, and 135 of those children developedthe disease. Consider the vaccine treatment group to be the firstsample. Complete parts? (a) through? (d) below. a. Assume that a0.01 significance level will be used to test the claim that p 1less thanp 2 . Which is? better: A hypothesis test or a confidence?interval? ? A confidence interval A hypothesis test is better. b.In? general, when dealing with inferences for two population?proportions, which two of the following are? equivalent: confidenceinterval? method; P-value? method; critical value? method? ?Confidence interval method and Upper P dash value method Confidenceinterval method and critical value method Upper P dash value methodand critical value method are? equivalent, in that they will alwayslead to the same conclusion. Both of these methods use a standarddeviation based on ? the assumption that the two populationproportions are equal, estimated values of the populationproportions, whereas the other method uses a standard deviationbased on ? estimated values of the population proportions. theassumption that the two population proportions are equal. c. If a0.01 significance level is to be used to test the claim that p 1less thanp 2 ?, what confidence level should be? used? nothing ?%?(Type an integer or a? decimal.) d. If the claim in part? (c) istested using this sample? data, we get this confidence? interval:negative 0.000655 less thanp 1minusp 2less thannegative 0.000347 .What does this confidence interval suggest about the? claim?Because the confidence interval ? contains does not contain ? 0,the critical value, the pooled sample proportion, the significancelevel, there ? appears to be does not appear to be a significantdifference between the two proportions. Because the confidenceinterval consists ? only of values greater than of values both lessthan and greater than only of values less than ? the pooled sampleproportion, the significance level, 0, the critical value, itappears that the first proportion is ? less than greater than notsignificantly different from the second proportion. There is ?insufficient sufficient evidence to support the claim that the rateof polio is less for children given the vaccine than it is forchildren given a placebo. Enter your answer in the answer box.