In a large clinical​ trial, 400,321 children were randomly assigned to two groups. The treatment group consisted of 201,051 children given a vaccine for a certain​ disease, and 37 of those children developed the disease. The other 199,270 children were given a​ placebo, and 130 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts​ (a) through​ (d) below. Question content area bottom Part 1 a. Assume that a 0.100.10 significance level will be used to test the claim that p 1p1less than<p 2p2. Which is​ better: A hypothesis test or a confidence​ interval? A hypothesis test is better. Part 2 b. In​ general, when dealing with inferences for two population​ proportions, which two of the following are​ equivalent: confidence interval​ method; P-value​ method; critical value​ method? Upper P dash value method and critical value methodP-value method and critical value method are​ equivalent, in that they will always lead to the same conclusion. Both of these methods use a standard deviation based on the assumption that the two population proportions are equal, whereas the other method uses a standard deviation based on estimated values of the population proportions. Part 3 c. If a 0.100.10 significance level is to be used to test the claim that p 1p1less than<p 2p2​, what confidence level should be​ used? 8080​% ​(Type an integer or a​ decimal.) Part 4 d. If the claim in part​ (c) is tested using this sample​ data, we get this confidence​ interval: negative 0.000551−0.000551less than<p 1p1minus−p 2p2less than<negative 0.000385−0.000385. What does this confidence interval suggest about the​ claim? Because the confidence interval ▼

▼ there ▼ a significant difference between the two proportions. Because the confidence interval consists ▼

▼ it appears that the first proportion is ▼ the second proportion. There is ▼ evidence to support the claim that the rate of polio is less for children given the vaccine than it is for children given a placebo.