Back to 8.3 A Population Proportion

8.3 Exercise 49

Avg difficulty 2.5

Refer to the information in the exercise.

  1. Construct three 95 percent confidence intervals:
    1. percentage of all ethnicity C who would welcome a person of ethnicity D into their families
    2. percentage of all ethnicity C who would welcome a person of ethnicity A into their families
    3. percentage of all ethnicity C who would welcome a person of ethnicity B 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 Statistics, 8.3 A Population Proportion, exercise 49

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