CHAPTER 11—COMPARISONS INVOLVING PROPORTIONS AND A TEST
51. Refer to Exhibit 11-6. The p-value is
|
a. |
less than .005 |
|
b. |
between .005 and .01 |
|
c. |
between .01 and .025 |
|
d. |
between .025 and .05 |
NARRBEGIN: Exhibit 11-07
Exhibit 11-7
In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.
NARREND
52. Refer to Exhibit 11-7. This problem is an example of a
|
a. |
normally distributed variable |
|
b. |
test for independence |
|
c. |
Poisson distributed variable |
|
d. |
multinomial population |
53. Refer to Exhibit 11-7. The expected frequency for the Business College is
|
a. |
0.3 |
|
b. |
0.35 |
|
c. |
90 |
|
d. |
105 |
54. Refer to Exhibit 11-7. The calculated value for the test statistic equals
|
a. |
0.01 |
|
b. |
0.75 |
|
c. |
4.29 |
|
d. |
4.38 |
55. Refer to Exhibit 11-7. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals
|
a. |
1.645 |
|
b. |
1.96 |
|
c. |
5.991 |
|
d. |
7.815 |
56. Refer to Exhibit 11-7. The p-value is
|
a. |
greater than 0.1 |
|
b. |
between 0.05 and 0.1 |
|
c. |
between 0.025 and 0.05 |
|
d. |
between 0.01 and .025 |
57. Refer to Exhibit 11-7. The conclusion of the test is that the
|
a. |
proportions have changed significantly |
|
b. |
proportions have not changed significantly |
|
c. |
test is inconclusive |
|
d. |
None of these alternatives is correct. |
NARRBEGIN: Exhibit 11-08
Exhibit 11-8
The table below gives beverage preferences for random samples of teens and adults.
|
Teens |
Adults |
Total |
|
|
Coffee |
50 |
200 |
250 |
|
Tea |
100 |
150 |
250 |
|
Soft Drink |
200 |
200 |
400 |
|
Other |
50 |
50 |
100 |
|
400 |
600 |
1,000 |
We are asked to test for independence between age (i.e., adult and teen) and drink preferences.
NARREND
58. Refer to Exhibit 11-8. With a .05 level of significance, the critical value for the test is
|
a. |
1.645 |
|
b. |
7.815 |
|
c. |
14.067 |
|
d. |
15.507 |
59. Refer to Exhibit 11-8. The expected number of adults who prefer coffee is
|
a. |
0.25 |
|
b. |
0.33 |
|
c. |
150 |
|
d. |
200 |
60. Refer to Exhibit 11-8. The test statistic for this test of independence is
|
a. |
0 |
|
b. |
8.4 |
|
c. |
62.5 |
|
d. |
82.5 |
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Solution: CHAPTER 11—COMPARISONS INVOLVING PROPORTIONS AND A TEST