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In the general population, 80% of people carry a mobile phone nowadays
In the general population, 80% of people carry a mobile phone nowadays. You decide to sample 50 UNR students to see how well they fit this statistic. 34 0.1 points You actually obtain a 96% proportion from your sample. How many students did not have a mobile phone? (Don't overthink this.) Type your answer... 35 0.3 points Based on the general population, what is the upper-limit of the 95% C.I.for the proportion of students you expect to be carrying a mobile phone? (show 2 dp) Type your answer... 36 0.3 points Based on the general population, what is the lower-limit of the 95% C.I. for the proportion of students you expect to be carrying a mobile phone? (show 2 dp) Type your answer... 37 0.3 points Based on your first sample, at the 5% significance level, what is the margin of error for the proportion of students you expect to be carrying a mobile phone in second sample of 50 UNR students (show 3
Expert Solution
34. The answer is 2
( We obtain this as 50-0.96*50 =2 )
35. The lower bound is 68.9 %
36. The upper bound is 91.1%
( We compute this as
1. Binomial "exact" calculation
Proportion of positive results = P = x/N = 0.8000
Lower bound = 0.6628
Upper bound = 0.8997
2. Normal approximation to the binomial calculation:
Standard error of the mean = SEM = √x(N-x)/N3 = 0.0566
α = (1-CL)/2 = 0.0250
Standard normal deviate for α = Zα = 1.9600
Proportion of positive results = P = x/N = 0.8000
Lower bound = P - (Zα*SEM) = 0.6891
Upper bound = P + (Zα*SEM) = 0.9109)
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