Homework SourseAccording to The Harris Poll the proportion of all adults wh
According to The Harris Poll, the proportion of all adults who live in households with rifles (29%), shotguns (29%), or pistols (23%) has not changed significantly since 1996. However, today more people live in households with no guns (61%). The 1014 adults surveyed gave the following results. (Results are at bottom of page)
In a survey of 2000 adults in Memphis who said they own guns, 780 said they own all three types, 540 said they owned 2 of the 3, 570 said they owned 1 of the 3 types, and 110 declined to specify what types of guns they owned. Test the null hypothesis that the distribution of number of types owned is the same in Memphis as it is nationally as reported by The Harris Poll. Use a level of significance equal to 0.05.
(a) Find the test statistic. (Give your answer correct to two decimal places.)
(ii) Find the p-value. (Give your answer bounds exactly.)
(b) State the appropriate conclusion.
| All Adults (%) | All Gun Owners (%) | |
|---|---|---|
| Have rifle, shotgun, and pistol (3 out of 3) | 16 | 41 |
| Have 2 out of 3 (rifle, shotgun, or pistol) | 11 | 27 |
| Have 1 out of 3 (rifle, shotgun, or pistol) | 11 | 29 |
| Decline to answer/Not sure | 1 | 3 |
| TOTAL | 39% | 100% |
Solution
Goodness of Fit Test
observed
Expected%
Expected number
O - E
(O - E)
| Goodness of Fit Test | |||||
| observed | Expected% | Expected number | O - E | (O - E) |
