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73.  The marital status distribution of the U.S. male population,...

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73.  The marital status distribution of the U.S. male population,...

73. The marital status distribution of the U.S. male population, ages 15 and older, is as shown in Table 11.35.

 

Marital Status     -       Percent - Expected Frequency

never married                  31.3

married                            56.1

widowed                          2.5

divorced/separated         10.1

Table 11.35

 

a. Suppose that a random sample of 400 U.S. young adult males, 18 to 24 years old, yielded the following frequency distribution. We are interested in whether this age group of males fits the distribution of the U.S. adult population. Calculate the frequency one would expect when surveying 400 people. Fill in Table 11.35, rounding to two decimal places.

 

Marital Status   -   Frequency

never married              140

married                        238

widowed                       2

divorced/separated      20

Table 11.36

 

b. The columns in Table 11.37 contain the Race/Ethnicity of U.S. Public Schools for a recent year, the percentages for the Advanced Placement Examinee Population for that class, and the Overall Student Population. Suppose the right column contains the result of a survey of 1,000 local students from that year who took an AP Exam.

 

Race/Ethnicity - AP Examinee Population - Overall Student Population - Survey Frequency

Asian, Asian American, or PacificIslander - 10.2% - 5.4% - 113

Black or African-American - 8.2% - 14.5% - 94

Hispanic or Latino - 15.5% - 15.9% - 136

American Indian or Alaska Native - 0.6% - 1.2% - 10

White - 59.4% - 61.6% - 604

Not reported/other - 6.1% - 1.4% - 43

Table 11.37

 

75. Perform a goodness-of-fit test to determine whether the local results follow the distribution of U.S. AP examine population, based on ethnicity.

 

Test of Independence

For each problem, use a solution sheet to solve the hypothesis test problem. Round expected frequency to two decimal places.

 

87. Car manufacturers are interested in whether there is a relationship between the size of car an individual drives and the number of people in the driver's family (that is, whether car size and family size are independent). To test this, suppose that 800 car owners were randomly surveyed with the results in Table 11.44. Conduct a test of independence.

Family Size - Sub & Compact - Mid-size - Full-size - Van & Truck

        1,                       20,                      35,               40,                35

        2,                       20,                      50,               70,                80

       3-4,                    20,                      50,              100,               90

        5+,                    20,                      30,                70,                70

Table 11.44

 

89. Some travel agents claim that honeymoon hot spots vary according to age of the bride. Suppose that 280 recent brides were interviewed as to where they spent their honeymoons. The information is given in Table 11.46. Conduct a test of independence.

Location   -    20-29 - 30-39 - 40-49 - 50 and over

Niagara Falls       15,       25,         25,            20

Poconos              15,        25,          25,            10

Europe                 10,       25,          15,             5

Virgin Islands       20,       25,          15,           5

Table 11.46

 

107. Is there a difference between the distribution of community college statistics students and the distribution of university statistics students in what technology they use on their homework? Of some randomly selected community college students, 43 used a computer, 102 used a calculator with built in statistics functions, and 65 used a table from the textbook. Of some randomly selected university students, 28 used a computer, 33 used a calculator with built in statistics functions, and 40 used a table from the textbook. Conduct an appropriate hypothesis test using a 0.05 level of significance.

Read the statement and decide whether it is true or false.

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