Consider a population proportion p = 0.21. [You may find it useful to reference the z table.] a. Calculate the standard error for the sampling distribution of the sample proportion when n = 15 and n = 59? (Round your final answer to 4 decimal places.) n Standard error 15 59 b. Is the sampling distribution of the sample proportion approximately normal with n = 15 and n = 59? n Approximately normal 15 59 c. Calculate the probability that the sample proportion is between 0.19 and 0.21 for n = 59. (Round "z-value" to 2 decimal places and final answer to 4 decimal places.) Probability
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Given: p = 0.21 n = 15 Standard error = sqrt(p * (1 - p) / n) Standard error = sqrt(0.21 * 0.79 / 15) Standard error = sqrt(0.1659 / 15) Standard error = sqrt(0.01106) Standard error ≈ 0.1055 Show more…
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