Question

In a large clinical​ trial, 395 comma 679 children were randomly assigned to two groups. The treatment group consisted of 197 comma 927 children given a vaccine for a certain​ disease, and 36 of those children developed the disease. The other 197 comma 752 children were given a​ placebo, and 135 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts​ (a) through​ (d) below. a. Assume that a 0.01 significance level will be used to test the claim that p 1 less 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: confidence interval​ method; P-value​ method; critical value​ method? ▼ Confidence interval method and Upper P dash value method Confidence interval method and critical value method Upper P dash 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, estimated values of the population proportions, whereas the other method uses a standard deviation based on ▼ estimated values of the population proportions. the assumption that the two population proportions are equal. c. If a 0.01 significance level is to be used to test the claim that p 1 less thanp 2 ​, what confidence level should be​ used? nothing ​% ​(Type an integer or a​ decimal.) d. If the claim in part​ (c) is tested 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 significance level, there ▼ appears to be does not appear to be a significant difference between the two proportions. Because the confidence interval consists ▼ only of values greater than of values both less than and greater than only of values less than ▼ the pooled sample proportion, the significance level, 0, the critical value, it appears that the first proportion is ▼ less than greater than not significantly different from the second proportion. There is ▼ insufficient sufficient 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. Enter your answer in the answer box.

Answer 1