(a) For the alternative value p = 0.21, compute đť›˝(0.21) for sample sizes n = 400, 1600, 12,100, 40,000, and 90,000. (Round your answers to four decimal places.)
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21) \) for the given sample sizes, we first need to understand what \( \beta \) represents in the context of hypothesis testing. \( \beta \) is the probability of making a Type II error, which occurs when we fail to reject the null hypothesis when the alternative Show more…
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Consider a large-sample level 0.01 test for testing H0: p = 0.2 against Ha: p > 0.2. (a) For the alternative value p = 0.21, compute ̢(0.21) for sample sizes n = 144, 3600, 14,400, 40,000, and 90,000. (Round your answers to four decimal places.) n ̢ 144 0.9767 3600 0.7910 14,400 0.2578 40,000 0.0043 90,000 0.0000 (b) For p̂ = x/n = 0.21, compute the P-value when n = 144, 3600, 14,400, and 40,000. (Round your answers to four decimal places.) n P-value 144 0.3621 3600 14,400 40,000 0.0000
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Find each $X,$ given $\hat{p}$ a. $\hat{p}=0.60, n=240$ b. $\hat{p}=0.20, n=320$ c. $\hat{p}=0.60, n=520$ d. $\hat{p}=0.80, n=50$ e. $\hat{p}=0.35, n=200$
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