Comparing Two Independent Population Proportions · Exercise 23

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.
• “2022” subscript: 2022 group.
• “2021” subscript: 2021 group

An appropriate null hypothesis is:

(a) $p2022\le p2021$
(b) $p2022\ge p2021$
(c) $\mu 2022\le \mu 2021$
(d) $p2022>p2021$

OpenStax, Introductory Statistics 2e · §10.3 Comparing Two Independent Population Proportions · Exercise 23