Random sampling Which of the following are required for an independent random sa
ID: 3256784 • Letter: R
Question
Random sampling Which of the following are required for an independent random sample? CHECK ALL THAT APPLY? ___ Sampling must be done with replacement ___the probability of being selected second for the sample is the same as the probability of being selected third ____ every time an individual is selected for the sample, each of the remaining individuals has a lower chance of being included. Identifying if binomial probabilities can be approximated A study has shown that 93 % of internet users have stopped online. Consider this binomial probability in a random sample of internet users, what is the probability that fewer than 50 shop online? If Yes or No? approximate to use the normal distribution to approximate the binomial probability, because ___? pN > 10 and qN > 10 b) qNExplanation / Answer
5.
For a random sample to be independent it must done with replacement and and an individual item has the same probabilty of being chosen at any stage during the sampling procedure.
Hence the correct options are :
Sampling must be done with replacement
and
Probabiltiy of being selected second for the sample is same as probabilty of being selected third.
11.
np >= 5 and n(1-p) >= 5 are the thumb rules
in this case, n =60 and p =0.95
NO, because, qN =0.05*60= 3 <= 10 . (e)
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