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statistics relpersn To what extent do you consider yourself a religious person?

ID: 3305897 • Letter: S

Question

statistics

relpersn To what extent do you consider yourself a religious person? Are you very religious?

N

Valid

1952

Missing

22

Mean

2.43

Median

2.00

Mode

2

Std. Deviation

1.003

relpersn To what extent do you consider yourself a religious person? Are you very religio

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

1 Very religious

360

18.2

18.4

18.4

2 Moderately religious

784

39.7

40.2

58.6

3 Slightly religious

426

21.6

21.8

80.4

4 Not religious at all

382

19.4

19.6

100.0

Total

1952

98.9

100.0

Missing

8 Don't know

11

.6

9 No answer

11

.6

Total

22

1.1

Total

1974

100.0

1. Examine your newly constructed “relpersn_rev” for at least two educational groups (i.e. less than high school vs. bachelor’s; high school vs. graduate; etc.).

a. For this section you will want to use the “DEGREE” variable.

b. Run a frequency for “DEGREE” and note the value labels for each group.

2. Produce frequencies, measures of central tendency, and the standard deviation for two groups using the TEMPORARY and SELECT IF commands

a. Remember, you will need to use them twice (once for the first group and again for the second one)

3. Using the produced information, compare the religiosity of the two educational groups you selected. Do they appear to differ in level of religiosity?1 To answer this you should compare the following:

a. Means or cumulative %’s

b. Standard deviations

c. Can you speculate (provide an educated guess) as to why there might be some differences based on level of education? (There are no right or wrong answers here, but I want you to think critically and give some sort of explanation.)

1 This is our first attempt to compare groups. We will do this in a more formal manner in future chapters, but for now the focus is on using the TEMPORARY and SELECT IF commands to analyze subsamples. 3

IV. Part 4 (5 points). Additional Data Management Skills- Recoding Variables

1. Produce a frequency table for the variable “REGION”.

2. Recode the “REGION” variable into a four category variable with the following categories: Northeast(New England and Mid Atlantic), Midwest (East North Central and West North Central), South (South Atlantic, East South Central, and West South Central), and West (Mountain and Pacific).

a. Do not forget to include Variable Labels and Value Labels to indicate what the new values represent.

b. Unlike reverse coding (where you maintained the number of categories), when you recode you are changing the number of categories. (See Part V of Lab 2 instructions.)

3. Produce a frequency table for the NEW region variable.

4. Interpret your results for the NEW region variable.

statistics

relpersn To what extent do you consider yourself a religious person? Are you very religious?

N

Valid

1952

Missing

22

Mean

2.43

Median

2.00

Mode

2

Std. Deviation

1.003

Explanation / Answer

Rolling a single die

1) probability of rolling divisors of 6 :

Since its a single die, the possible outcomes are 1,2,3,4,5,6. All have equal probability(1/6) since its a fair die

Out of these divisors of 6 are 1,2,3,6. So P(divisors of 6) = 1/6*1/6*1/6*1/6 = 1/1296 = 0.0008

2) probability of rolling a multiple of 1: Since all(1,2,3,4,5,6) are multiples of 6 = 1/6*1/6*1/6*1/6*1/6*1/6= 1/46656 = 0.00002

3) probability of rolling an even number : There are 3 even numbers between 1-6 i.e. 2,4,6

Hence probability of rolling an even number = 1/6*1/6*1/6 = 1/216 =0.0046

4) List of all possible outcomes of rolling a single die ={1,2,3,4,5,6}

5) probability of rolling factors of 3 : Factors of 3 are 1,3

Hence probability of rolling factors of 3 = 1/6*1/6 = 1/36 = 0.0278

6) probability of rolling a 3 or smaller : 3 or smaller are 1,2,3. Hence the probability = 1/6*1/6*1/6 = 1/216 = 0.0046

7) probability of rolling a prime number: Prime numbers between 1-6 are 2,3,5 hence probability = 1/6*1/6*1/6=1/216=0.0046

8) probability of rolling factors of 4 : Factors of 4 are 1,2,4 hence the probability = 1/6*1/6*1/6 = 1/216 =0.0046

9) probability of rolling divisors of 30 : Divisors of 30 are 1,2,3,5,6 = 1/6*1/6*1/6*1/6*1/6 = 1/7776 = 0.0001

10) probability of rolling factors of 24: Factors of 24 are 1,2,3,4,6 = 1/6*1/6*1/6*1/6*1/6=1/7776=0.0001