A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical trials, 200,000 children were randomly divided in two groups. The subjects in group 1 (the experimental group) were given the vaccine, while the subjects in group 2 (the control group) were given a placebo. Of the 100,000 children in the experimental group, 24 developed the disease. Of the 100,000 children in the control group, 42 developed the disease. Complete parts through (f) below. L F. The samples are independent. Identify the null and alternative hypotheses for this test. Let p, represent the population proportion of children given the vaccine who developed the disease and p2 represent the population proportion of children given a placebo who developed the disease. Ho: P1 = P2 H: P1 < P2 Find the test statistic for this hypothesis test. - 2.22 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. 0.013 (Round to three decimal places as needed.) Interpret the P-value. If the population proportions are equal, one would expect a sample difference proportion V the one observed in about out of 100 repetitions of this experiment. (Round to the nearest integer as needed.)

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

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