1. A one-sample test that is useful for comparing two proportions or percentages. The two percentages should add up to 100 per cent (because this is a one-sample test). 1.1 research question 1.2 null hypothesis 1.3 test assumptions 1.4 steps in conducting; 1.5 formula and name of the parts of the formula; and 1.6 demonstrate using hypothetical data.
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Step 1: Define the Research Question - Research Question: Is the proportion of customers who prefer Product A over Product B different from 50%? Show more…
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Consider the hypothesis test H0: μ1 = μ2 against H1: μ1 < μ2. Suppose that sample sizes are n1 = 15 and n2 = 15, that x̄1 = 6.0 and x̄2 = 8.0, and that s1 = 2 and s2 = 2.497. Assume that the data are drawn from normal distributions. Use α = 0.05. Use the appropriate test to confirm whether you can assume the variances σ1 and σ2 are equal. Based on the results from (a), test the stated hypothesis.
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