Back to 8.3 A Confidence Interval for A Population Proportion

8.3 Exercise 46

Avg difficulty 2.5

Refer to the information in the exercise.

  1. Construct three 95% confidence intervals.
    1. percent of all Asians who would welcome a White person into their families.
    2. percent of all Asians who would welcome a Hispanic/Latino into their families.
    3. percent of all Asians who would welcome a Black person into their families.
  2. Even though the three point estimates are different, do any of the confidence intervals overlap? Which?
  3. For any intervals that do overlap, in words, what does this imply about the significance of the differences in the true proportions?
  4. For any intervals that do not overlap, in words, what does this imply about the significance of the differences in the true proportions?

OpenStax Introductory Business Statistics 2e, 8.3 A Confidence Interval for A Population Proportion, exercise 46

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Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.