Exam 24: Two-Way Tables and the Chi-Square Test

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Consider the following data on college enrollment by field of study and the sex of the students: Consider the following data on college enrollment by field of study and the sex of the students:   What percent of college students were studying engineering? What percent of college students were studying engineering?

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If surgical procedure A has a higher success rate than surgical procedure B in every hospital where they are used and yet procedure B has a higher overall success rate, then we suspect that

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Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students: Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students:   What is the chi-square statistic for this table? What is the chi-square statistic for this table?

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A sample of 123 respondents is asked, "Should corporations attempt to use their financial resources to influence public policy, especially with respect to social issues?" The responses are as follows: A sample of 123 respondents is asked, Should corporations attempt to use their financial resources to influence public policy, especially with respect to social issues? The responses are as follows:   Based on the P-value for the chi-square statistic, we can conclude that: Based on the P-value for the chi-square statistic, we can conclude that:

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A professor wants to know if students who regularly attend lecture and read the textbook perform differently in her introductory statistics course than the students who only read the textbook. The results are as follows: A professor wants to know if students who regularly attend lecture and read the textbook perform differently in her introductory statistics course than the students who only read the textbook. The results are as follows:   What is the chi-square statistic for this table? What is the chi-square statistic for this table?

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A study of drug addicts in Amsterdam recorded how often each addict had recently injected drugs and whether or not the addict was infected with HIV, the virus that causes AIDS. Here is a two-way table of the numbers of addicts in each condition: A study of drug addicts in Amsterdam recorded how often each addict had recently injected drugs and whether or not the addict was infected with HIV, the virus that causes AIDS. Here is a two-way table of the numbers of addicts in each condition:   What is the expected number of addicts with HIV that inject drugs daily? What is the expected number of addicts with HIV that inject drugs daily?

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In 2015 the Tampa Bay Rays had the following record for the season: In 2015 the Tampa Bay Rays had the following record for the season:   What is the expected number of home games to be won? What is the expected number of home games to be won?

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Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students: Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students:   How many students were 18 to 21 years old? How many students were 18 to 21 years old?

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A study of college football players' involvement with sports agents interviews a sample of college sports information directors. One question concerns revamping rules concerning timing and level of player-agent contact. Here is a two-way table of the results: A study of college football players' involvement with sports agents interviews a sample of college sports information directors. One question concerns revamping rules concerning timing and level of player-agent contact. Here is a two-way table of the results:   What is the expected number of NCAA Div. I sports information directors who have some interest in revamping the rules? What is the expected number of NCAA Div. I sports information directors who have some interest in revamping the rules?

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A study of drug addicts in Amsterdam recorded how often each addict had recently injected drugs and whether or not the addict was infected with HIV, the virus that causes AIDS. Here is a two-way table of the numbers of addicts in each condition: A study of drug addicts in Amsterdam recorded how often each addict had recently injected drugs and whether or not the addict was infected with HIV, the virus that causes AIDS. Here is a two-way table of the numbers of addicts in each condition:   The chi-square statistic for this table has how many degrees of freedom? The chi-square statistic for this table has how many degrees of freedom?

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A sample of 123 respondents is asked, "Should corporations attempt to use their financial resources to influence public policy, especially with respect to social issues?" The responses are as follows: A sample of 123 respondents is asked, Should corporations attempt to use their financial resources to influence public policy, especially with respect to social issues? The responses are as follows:   What is the chi-square statistic for this table? What is the chi-square statistic for this table?

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Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students: Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students:   What percent of students in 4-year programs were 18 to 21 years old? What percent of students in 4-year programs were 18 to 21 years old?

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Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students: Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students:   The chi-square statistic for this table has how many degrees of freedom? The chi-square statistic for this table has how many degrees of freedom?

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How can Igor have a higher GPA than Desdemona in hard courses, also have a higher GPA in easy courses, and yet have an overall GPA which is lower than hers?

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Here is a two-way table of the numbers of college students (U.S. citizens only) classified by racial/ethnic group and by whether they attend a public or a private college. The entries are in thousands of students. Here is a two-way table of the numbers of college students (U.S. citizens only) classified by racial/ethnic group and by whether they attend a public or a private college. The entries are in thousands of students.   There is no reason to use the chi-square test on these data, because There is no reason to use the chi-square test on these data, because

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In 2015 the Tampa Bay Rays had the following record for the season: In 2015 the Tampa Bay Rays had the following record for the season:   What is the chi-square statistic for this table? What is the chi-square statistic for this table?

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A study of drug addicts in Amsterdam recorded how often each addict had recently injected drugs and whether or not the addict was infected with HIV, the virus that causes AIDS. Here is a two-way table of the numbers of addicts in each condition: A study of drug addicts in Amsterdam recorded how often each addict had recently injected drugs and whether or not the addict was infected with HIV, the virus that causes AIDS. Here is a two-way table of the numbers of addicts in each condition:   How many addicts did the study gather data from? How many addicts did the study gather data from?

(Multiple Choice)
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A study of drug addicts in Amsterdam recorded how often each addict had recently injected drugs and whether or not the addict was infected with HIV, the virus that causes AIDS. Here is a two-way table of the numbers of addicts in each condition: A study of drug addicts in Amsterdam recorded how often each addict had recently injected drugs and whether or not the addict was infected with HIV, the virus that causes AIDS. Here is a two-way table of the numbers of addicts in each condition:   The P-value for this table's chi-square statistic is The P-value for this table's chi-square statistic is

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A study of college football players' involvement with sports agents interviews a sample of college sports information directors. One question concerns revamping rules concerning timing and level of player-agent contact. Here is a two-way table of the results: A study of college football players' involvement with sports agents interviews a sample of college sports information directors. One question concerns revamping rules concerning timing and level of player-agent contact. Here is a two-way table of the results:   We can summarize the relationship between the school the sports information director is from and his or her level of interest in revamping the rules by saying: We can summarize the relationship between the school the sports information director is from and his or her level of interest in revamping the rules by saying:

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In 2015 the Tampa Bay Rays had the following record for the season: In 2015 the Tampa Bay Rays had the following record for the season:   What percent of their games did the team win for the season? What percent of their games did the team win for the season?

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