Question 7.172

46. Facebook Accounts. Refer to Exercise 42.

  1. Find the 2.5th and 97.5th percentiles of the sample proportions.
  2. Draw a graph showing the sampling distribution of , with the area between the 2.5th and 97.5th percentiles shaded.
  3. Calculate .
  4. Suppose someone claimed that the proportion of all 18- to 29-year-olds who had a Facebook account was less than 0.82. Based on the probability you calculated in (c), do you think there is strong evidence against this claim?