Suppose you work for a survey research company. In a typical survey, you mail questionnaires to...

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Suppose you work for a survey research company. In a typicalsurvey, you mail questionnaires to 150 companies. Of course, someof these companies might decide not to respond. Assume that thenonresponse rate is 45%; that is, each company's probability of notresponding, independently of the others, is 0.45. Round youranswers to three decimal places and if your answer is zero, enter"0". a. If your company requires at least 90 responses for a validsurvey, find the probability that it will get this many. Use a datatable to see how your answer varies as a function of thenonresponse rate (for a reasonable range of response ratessurrounding 45%).
I cannot get a table to work with the probabilities for
25%
30%
35%
40%
45%
50%
55%
60%
65%

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3.8 Ratings (548 Votes)

aFor nonresponse rate of 25 number of responses from 150companies X will follow Binomial distribution with parameters n 150 and p 1 025 075Using Normal approximation of Binomial theorem X will followNormal distribution with mean np 150075 1125 and standarddeviation sqrt1500751075 5303Probability to get at least 90 responses for a valid survey PX 90 PX 895 Using Continuity Correction PZ 895 11255303 PZ 438 1For nonresponse rate of 30 number of responses from 150companies X will follow Binomial distribution with parameters n 150 and p 1 03 07Using Normal approximation of Binomial theorem X will followNormal distribution with mean np 15007 105 and standarddeviation sqrt15007107 5612Probability to get at least 90 responses See Answer

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