Back to 10.4 Comparing Two Independent Population Proportions

10.4 Exercise 22

Avg difficulty 2.5

Use the following information to answer the next two exercises. Some individuals who were exposed to the COVID-19 virus experienced a loss of taste. In a sample of COVID patients during 2022, there were 629 reported cases of loss of taste out of a total of 1,021 reported cases. In 2021, there were 486 reported cases of loss of taste out of a sample of 712 cases. Is the 2022 proportion of loss of taste more than the 2021 proportion? Using a 1% level of significance, conduct an appropriate hypothesis test.

  1. “2022” subscript: 2022 group.
  2. “2021” subscript: 2021 group

An appropriate null hypothesis is:

  1. p2022 ≤ p2021p 2022 \leq p 2021
  2. p2022 ≥ p2021p 2022 \geq p 2021
  3. μ2022 ≤ μ2021\mu 2022 \leq \mu 2021
  4. p2022 > p2021p 2022 > p 2021

OpenStax Introductory Business Statistics 2e, 10.4 Comparing Two Independent Population Proportions, exercise 22

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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.