In: Statistics and Probability
A criminologist conducts a survey of residents concerning their sense of safety when walking alone in their neighborhoods. She uses a 7-point scale from 1 = very unsafe to 7 = very safe. Using the chart below, answer the following questions. For A and B, you may want to consult the previous assignment.
Perceptions of Safety |
f |
1 |
28 |
2 |
34 |
3 |
42 |
4 |
56 |
5 |
46 |
6 |
24 |
7 |
20 |
Total |
N = 250 |
1.) Construct a 99% confidence interval and interpret it (note: this would involve you writing a sentence explaining what the two values tell you). (0.5 point).
Given:
A criminologist conducts a survey of residents concerning their sense of safety when walking alone in their neighborhoods.
She uses a 7-point scale from 1 = very unsafe to 7 = very safe.
xi | fi | fi × xi | fixi2 |
1 | 28 | 28 | 28 |
2 | 34 | 68 | 136 |
3 | 42 | 126 | 378 |
4 | 56 | 224 | 896 |
5 | 46 | 230 | 1150 |
6 | 24 | 144 | 864 |
7 | 20 | 140 | 980 |
N = 250 | fixi = 960 | fixi2 = 4432 |
Therefore when the n sample of sample size is a drawn from normally distributed population then there is 99% chance that true population parameter will fall within (3.5587, 4.1213)