Consider a large-sample level 0.01 test for testing Ho: p = 0.2 against H: p > 0.2. AUSE SALT (a) For the alternative va

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Consider A Large Sample Level 0 01 Test For Testing Ho P 0 2 Against H P 0 2 Ause Salt A For The Alternative Va 1 (51.03 KiB) Viewed 11 times

Consider a large-sample level 0.01 test for testing Ho: p = 0.2 against H: p > 0.2. AUSE 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.) n 400 0.9641 1500 0.9394 16,900 0.1841 40,000 0.0044 90,000 0.0000 n B (b) For = x/n = 0.21, compute the P-value when n = 400, 1600, 16,900, and 40,000. (Round your answers to four decimal places.) P-value 400 0.3085 1600 0.2266 16,900 0.0006 40,000 0.0000 x |x ✔ s ✓ x ✓ ✓ (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? O 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 H, 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 Hg. O No, it is never advantageous to have a very large sample size, because it cannot detect very small departures from Ho