Data from 1991 General Social Survey classify a sample ofAmericans according to their gender and their opinion aboutafterlife (example from A. Agresti, 1996, “Introduction tocategorical data analysis”). The opinions about afterlife wereclassified into two categories: Yes and No (or undecided). Forexample, for the females in the sample - 435 said that theybelieved in an afterlife and 147 said that they did not or wereundecided.
Gender | Belief in Afterlife |
Yes | No or Undecided |
Females | 435 | 147 |
Males | 375 | 134 |
Estimate the proportion of females who believed in an afterlife(Use a 95% Confidence Interval).
Sample proportion: | |
Std error for sample proportion | |
| |
Confidence interval: | |
Lower boundary | |
Upper boundary | |
Test hypothesis that the majority of females (that is, more than50% females) believed in an afterlife.
- Using a z-score test
Null hypothesis | |
Research hypothesis | |
Value of the test statistics | |
Critical value used in your decision making | |
State your conclusion | |
Using c2 test
Categories | Expected ps | Expected frequencies | Observed frequencies | Chie-square calculations |
Yes | | | | |
No | | | | |
Null hypothesis | |
Research hypothesis | |
Value of the test statistics | |
Critical value used in your decision making | |
State your conclusion | |
