A random sample of size n = 146 is taken from a population of size N = 4,347 with a population proportion of p = 0.47. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.) Expected value Standard error b. What is the probability that the sample proportion is greater than 0.60? (Use rounded standard deviation. Round "z" value to 2 decimal places and final answer to 4 decimal places.) Probability
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To determine if it is necessary to apply the finite population correction factor, we need to check if the sample size is less than 5% of the population size. n/N = 146/4347 ≈ 0.0336 Since 0.0336 < 0.05, we do not need to apply the finite population correction Show more…
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A random sample of size n = 71 is taken from a population of size N = 639 with a population proportion p = 0.73. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? Yes No a-2. Calculate the expected value and the standard error of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.) Expected value Standard error b. What is the probability that the sample proportion is less than 0.66? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability
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