Question Desails random sam p e of 1 23 J) students, 75 students said they had p

Question

Question Desails random sam p e of 1 23 J) students, 75 students said they had past month. How bed is the wireless network at J ? Out of net or oonnection at l) lost in the Let p be the unknow n true proportion J) stucents who ave lost a network connection in the last month. Let phat be the a)Obtain an unbiased point estmate ofp. b) we wish to construct a 96 % classical confidence interval for p. What ls the critai vaue multiplier zstar? c) Create a 96% classical confidence interval for p? et phat be the sample proportion d) How long is the 96% classical confidence interval for p? f) Based on this data estimate the standard deviaion of the sample proportionfstudents who lost a connection in the last month. gAssuming the same value of the what is the smallest sample size for which the length or the 96% confidence interval for p is less than or equal to .12? h) Copy your R script for the above into the text bax here. sample proportion

Explanation / Answer

a)

p = 75/123 = 0.6098

b)

Z* = 2.054

c)

Normal approximation to the binomial calculation:

Standard error of the mean = SEM = x(N-x)/N3 = 0.044

= (1-CL)/2 = 0.020

Standard normal deviate for = Z = 2.054

Proportion of positive results = P = x/N = 0.610

Lower bound = P - (Z*SEM) = 0.519

Upper bound = P + (Z*SEM) = 0.700

d)

22.26

PS: We are directed to solve only first 4 parts of a question if multi part question is posted

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