Mathematics, 03.07.2020 18:01 george27212
"An ordinance requiring that a smoke detector be installed in all previously constructed houses has been in effect in a particular city for 1 year. The fire department is concerned that many houses remain without detectors. Let p= the true proportion of such houses having detectors, and suppose that a random sample of 25 homes is inspected. If the sample strongly indicates that fewer than 80% of all houses have a detector, the fire department will campaign for a mandatory inspection program. Because of the costliness of the program, the department prefers not to call for such inspections unless sample evidence strongly argues for their necessity. Let X denote the number of homes with detectors among the 25 sampled. Consider rejecting the claim that p>= 0.8 if x<= 15.
a. What is the probability that the claim is rejected when the actual value of p is 0.8?
b. What is the probability of not rejecting the claim when p= 0.7? when p= 0.6?
c. How do the "error probabilities" of parts (a) and (b) change if the value 15 in the decision rule is replaced by 14?
Answers: 2
Mathematics, 21.06.2019 21:00, PotatoBananad
Given: circle o, cd is diameter, chord ab || cd. arc ab = 74°, find arc ca.
Answers: 1
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