10.3 Comparing Two Independent Population Proportions
Pooling two sample proportions into one estimate, checking the success-failure conditions, and testing whether two groups differ in rate.
Introductory Statistics 2e, 10.3 Comparing Two Independent Population Proportions
21 exercises
10.3 Exercise 4
A survey was conducted about the favorable beverage as tea. The data collected is summarized in the table. Is the proportion of men favoring tea more than women favoring tea? Test at a 1% level of significance.
10.3 Exercise 6
A government researcher is investigating whether there is a difference in the use of helmets by motorcyclists in different geographic regions for those states where use of helmets is required by law. The research shows that for motorcyclists in the northeast U.S., 7622 out of 113,231 motorcyclists did not wear helmets. In the southeast U.S., 7439 out of 104,873 motorcyclists did not wear helmets.…
10.3 Exercise 7
A government researcher is investigating whether there is a difference in the use of helmets by motorcyclists in different geographic regions for those states where use of helmets is required by law. The research shows that for motorcyclists in the northeast U.S., 7622 out of 113,231 motorcyclists did not wear helmets. In the southeast U.S., 7439 out of 104,873 motorcyclists did not wear helmets.…
10.3 Exercise 8
A government researcher is investigating whether there is a difference in the use of helmets by motorcyclists in different geographic regions for those states where use of helmets is required by law. The research shows that for motorcyclists in the northeast U.S., 7622 out of 113,231 motorcyclists did not wear helmets. In the southeast U.S., 7439 out of 104,873 motorcyclists did not wear helmets.…
10.3 Exercise 9
A government researcher is investigating whether there is a difference in the use of helmets by motorcyclists in different geographic regions for those states where use of helmets is required by law. The research shows that for motorcyclists in the northeast U.S., 7622 out of 113,231 motorcyclists did not wear helmets. In the southeast U.S., 7439 out of 104,873 motorcyclists did not wear helmets.…
10.3 Exercise 10
A government researcher is investigating whether there is a difference in the use of helmets by motorcyclists in different geographic regions for those states where use of helmets is required by law. The research shows that for motorcyclists in the northeast U.S., 7622 out of 113,231 motorcyclists did not wear helmets. In the southeast U.S., 7439 out of 104,873 motorcyclists did not wear helmets.…
10.3 Exercise 12
A government researcher is investigating whether there is a difference in the use of helmets by motorcyclists in different geographic regions for those states where use of helmets is required by law. The research shows that for motorcyclists in the northeast U.S., 7622 out of 113,231 motorcyclists did not wear helmets. In the southeast U.S., 7439 out of 104,873 motorcyclists did not wear helmets.…
10.3 Exercise 13
A government researcher is investigating whether there is a difference in the use of helmets by motorcyclists in different geographic regions for those states where use of helmets is required by law. The research shows that for motorcyclists in the northeast U.S., 7622 out of 113,231 motorcyclists did not wear helmets. In the southeast U.S., 7439 out of 104,873 motorcyclists did not wear helmets.…
10.3 Exercise 15
Use the following information for the next five exercises. Two types of phone operating system are being tested to determine if there is a difference in the proportions of system failures (crashes). Fifteen out of a random sample of 150 phones with OS1 had system failures within the first eight hours of operation. Nine out of another random sample of 150 phones with OS2 had system failures within…
10.3 Exercise 17
Use the following information for the next five exercises. Two types of phone operating system are being tested to determine if there is a difference in the proportions of system failures (crashes). Fifteen out of a random sample of 150 phones with OS1 had system failures within the first eight hours of operation. Nine out of another random sample of 150 phones with OS2 had system failures within…
10.3 Exercise 19
Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second ran…
10.3 Exercise 21
Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second ran…
10.3 Exercise 23
Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second ran…
10.3 Exercise 25
Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second ran…
10.3 Exercise 29
Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second ran…
10.3 Exercise 32
We are interested in whether the proportions of conferred physical science degrees for people aged 21 to 24 are the same for White and Black people in the United States. The number of conferred degrees for White people in a given year is 4,930. Five hundred eighty were aged 21 to 24. The estimate for Black people is 330. Forty were aged 21 to 24. We will let people with conferred physical science…
10.3 Exercise 34
A recent year was randomly picked from 1985 to the present. In that year, there were 2,051 Hispanic/Latino students at Cabrillo College out of a total of 12,328 students. At Lake Tahoe College, there were 321 Hispanic/Latino students out of a total of 2,441 students. In general, do you think that the percent of Hispanic/Latino students at the two colleges is basically the same or different?
10.3 Exercise 36
Use the following information to answer the next three 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 o…
10.3 Exercise 42
Use the following information to answer the next three 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 o…
10.3 Exercise 44
Use the following information to answer the next three 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 o…
10.3 Exercise 46
Use the following information to answer the next three 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 o…
Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.