3. A researcher wishes to estimate the proportion of all adults who own a cell p

Question

3. A researcher wishes to estimate the proportion of all adults who own a cell phone. He takes a random sample of 1572 adults; 1298 of them own a cell phone, hence 1298/1572=0.83 or about 83% own a cell phone. (a) What is the population of interest? (b) What is the parameter of interest? (c) What is the statistic involved? (d) Based on this sample, do we know the proportion of all adults who own a cell phone? Explain fully. 4. A lottery ticket has a color: Red or Blue followed by one number among 1, 2 and 7 (a) Specify the sample space for this experiment by listing all possible outcomes. (b) Let A be the event that the number of the ticket is an odd number, and B be the event that the color of the ticket is blue. Specify the three events A, B and (A and B) by listing all the outcomes in each event. (c) Find the probabilities P(A), P(B) and P(A and B) (d) Find the probability P(A or B)

Explanation / Answer

3. a) The population of interest is all the adults

b) The parameter of interest is p, the proportion of adults who own a cell phone

c) The statistic is the proportion, p^, of the sample of 1572 adults who own a cell phone. The value of the sample proportion is 0.83.

d) We dont the the exact proportion with 100 % but we know that the proportion would lie in a certain range with certain degree of confidence.

  PS : We are directed to solve only the first question when multiple questions are posted

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