Consider a large-sample level 0.01 test for testing Ho: p = 0.2 against Ha: p > 0.2. USE SALT (a) For the alternative value p = 0.21, compute (0.21) for sample sizes n = 400, 1600, 16,900, 40,000, and 90,000. (Round your answers to four decimal places.) β n 400 .9661 1600 16,900 40,000 90,000 (b) For p = x/n = 0.21, compute the P-value when n = n 400 1600 16,900 40,000 P-value 400, 1600, 16,900, and 40,000. (Round your answers to four decimal places.) (c) In most situations, would it be reasonable to use a level 0.01 test in conjunction with a sample size of 40,000? Why or why not? Yes, even when the departure from Ho is significant from a practical point of view, a statistically significant result is not likely to appear; it is difficult for the test to detect departures from Ho Yes, it is always advantageous to have a very large sample size, because it will detect very small departures from Ho. No, even when the departure from Ho is insignificant from a practical point of view, a statistically significant result is highly likely to appear; the test is too likely to detect small departures from Ho No, it is never advantageous to have a very large sample size, because it cannot detect very small departures from Ho

Consider a large-sample level 0.01 test for testing Ho: p = 0.2 against Ha: p > 0.2. USE SALT (a) For the alternative value p = 0.21, compute (0.21) for sample sizes n = 400, 1600, 16,900, 40,000, and 90,000. (Round your answers to four decimal places.) β n 400 .9661 1600 16,900 40,000 90,000 (b) For p = x/n = 0.21, compute the P-value when n = n 400 1600 16,900 40,000 P-value 400, 1600, 16,900, and 40,000. (Round your answers to four decimal places.) (c) In most situations, would it be reasonable to use a level 0.01 test in conjunction with a sample size of 40,000? Why or why not? Yes, even when the departure from Ho is significant from a practical point of view, a statistically significant result is not likely to appear; it is difficult for the test to detect departures from Ho Yes, it is always advantageous to have a very large sample size, because it will detect very small departures from Ho. No, even when the departure from Ho is insignificant from a practical point of view, a statistically significant result is highly likely to appear; the test is too likely to detect small departures from Ho No, it is never advantageous to have a very large sample size, because it cannot detect very small departures from Ho

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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