Question

In: Statistics and Probability

A criminologist conducts a survey of residents concerning their sense of safety when walking alone in...

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).

Solutions

Expert Solution

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)


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