Two different companies have applied to provide cable television service in a certain region. Let p denote the proportio
Posted: Tue Apr 26, 2022 6:54 pm
Two different companies have applied to provide cable television service in a certain region. Let p denote the proportion of all potential subscribers who favor the first company over the second. Consider testing Ho:p 0.5 versus Ha: P = 0.5 based on a random sample of 25 individuals. Let the test statistic X be the number in the sample who favor the first company and x represent the observed value of X.
(b) Suppose that x = 6. Which other values of X are at least as contradictory to Ho as this one? (Enter your answers as a comma-separated list.)
Use it to compute the P-value when x = 6. (Round your answer to three decimal places.) (d) If He is to be rejected when P-value = 0.044, compute the probability of a type II error when p = 0.4, again when p = 0.3, and also when p = 0.6 and p = 0.7. (Hint: P-value > 0.044 is equivalent to what inequalities involving x? Keep in mind that P(type II error when p = 0.4) = P(Ho is not rejected when p = 0.4).] (Round your answers to three decimal places.) p = 0.4 = = = p = 0.3 p = 0.6 p = 0.7
(b) Suppose that x = 6. Which other values of X are at least as contradictory to Ho as this one? (Enter your answers as a comma-separated list.)
Use it to compute the P-value when x = 6. (Round your answer to three decimal places.) (d) If He is to be rejected when P-value = 0.044, compute the probability of a type II error when p = 0.4, again when p = 0.3, and also when p = 0.6 and p = 0.7. (Hint: P-value > 0.044 is equivalent to what inequalities involving x? Keep in mind that P(type II error when p = 0.4) = P(Ho is not rejected when p = 0.4).] (Round your answers to three decimal places.) p = 0.4 = = = p = 0.3 p = 0.6 p = 0.7