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Problem 2. A recent survey found that 64.7% of the population own their homes. In a random sample of 150 heads of households, 92 responded that they owned their homes. At the 0.15 level of significance, does that indicate a difference from the national proportion? Solution: Step 1: State the hypothesis and identify the claim. Ho : P= (claim) Ha : p# Q4 Week No.6 Competency Code: M1 1/12SP-IIIg-5 and M1 1/12SP-IIIg-2 layout: ricverbo-mpnag Step 2: Find the critical values. The critical values are and for a = 0.15, since the alternative hypothesis uses #, it refers to test. Step 3: Compute the test statistic. It is necessary to determine p, q, and p. P= q=1-p=1- X Up=- Substitute to the formula and solve. p-P Z= ! bd n Step 4: Make the decision. T CLAY Step 5: Summarize the results. ACTIVITY2 A. Direction: Compute the test statistic given the following information and test the hypotheses. 1. Ho : p = 0.35 3. Ho : p = 0.75 Ha : p * 0.35 Ha : p # 0.75 sample size = 120 sample size = 150 sample proportion = 0.45 sample proportion = 0.65 a = 0.05 a = 0.01 2. Ho : p = 0.36 4. Ho : p = 0.45 Ha : p 0.28 sample size = 69 number of elements in the sample = 30 a = 0.10