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Soci 403: Social Statistics Ii Question Paper

Soci 403: Social Statistics Ii

Course:Bachelor Of Arts Criminology And Security Studies

Institution: Chuka University question papers

Exam Year:2013

CHUKA

UNIVERSITY

UNIVERSITY EXAMINATIONS
EXAMINATION FOR THE AWARD OF DEGREE IN
BACHELOR OF ARTS CRIMINOLOGY AND SECURITY STUDIES

SOCI 403: SOCIAL STATISTICS II

STREAMS: TIME: 2 HOURS

DAY/DATE: TUESDAY 6/8/2013 8.30 AM – 10.30AM

INSTRUCTIONS:

Answer Question ONE and any other THREE Questions

1. (a) Describe in detail the steps followed in hypothesis testing. [7 Marks]

(b) Distinguish between the following pair of terms

(i) Type I error and type II error.
(ii) Null and alternative hypothesis
(iii) Point and interval estimate
(iv) Statistic and parameter [8 marks]

(c) A sample of five students had a mean of 2.9 in a statistic test. An earlier research had indicated that the overall mean of the class is 2.2. Test the hypothesis that the five students mean is not different from the class mean against the alternative hypothesis that the five students performed better if the sample standard deviation is 0.55. (Take ?=0.05 ). [6 marks]

(d) State and explain four applications of statistics in social sciences. [4 marks]

2. In a voter survey, people of different religious affiliations were asked whether they had voted for Jubilee or Amani coalition in the last general elections. The results are as shown in the table below.

Baptist Catholic Methodist Episcopal
Jubilee 27 24 10 2
Amani 9 15 35 14

Using chi-square, determine whether religious affiliation had anything to do with the way people voted (take ?=0.05; ) [15 marks]

3. Give the following sample data

Y Y
16 8
20 10
19 9
14 7
12 4
15 3
10 5
13 6

(a) Derive a regression equation (y ^=a+bx) [11 marks]

(b) Determine y ^ when:

(i) x = 10 [2 marks]

(ii) x = -20 [2 marks]

4. The following data was obtained from the same group of respondents
X Y
10 09
16 14
12 10
09 08
17 13
11 12

(a) Compute:

(i) The Pearson – product moment correlation coefficient between x and y. (r_xy) [7 marks]

(ii) The spearman rank order correlation. [6 marks]

(b) Comment on the magnitude of the correlation coefficient obtained in (i) and (ii) above. [2 marks]

5. (a) The mean IQ of 35 students was given as 102 with standard deviation of 6.02

(i) Determine the range of IQ at 68% CI. [4 marks]

(ii) What is the probability that the IQ will not lie in the range in (i) above. [2 marks]
(b) Discuss the importance of reliability and validity of measurement in research. [4 marks]

(c) It is usually alleged that statistics can be used to justify anything. Discuss this statement and give some specific examples of such cases. [5 marks]

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Soci 403: Social Statistics Ii Question Paper

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