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
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
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
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
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
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.