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Soci 403: Social Statistics Ii Question Paper

Soci 403: Social Statistics Ii

Course:Bachelor Of Arts Economics And Sociology

Institution: Chuka University question papers

Exam Year:2013

CHUKA

UNIVERSITY

UNIVERSITY EXAMINATIONS
EXAMINATIONS FOR THE AWARD OF DEGREE IN BACHELOR OF ARTS ECONOMIC AND SOCIOLOGY
SOCI 403: SOCIAL STATISTICS II
STREAMS: B.A ECON&SOCIO L.IV B.III TIME: 2 HOURS
DAY/DATE: TUESDAY 16/4/2013 2.30 PM – 4.30 PM
INSTRUCTIONS:

ANSWER QUESTION ONE AND ANY OTHER THREE QUESTIONS

1. (a) Distinguish between the following terms as used in social statistics.

(i) Type I error and type II error
(ii) Descriptive and inferential statistics
(iii) Null hypothesis and alternative hypothesis
(iv) Statistic and statistics
(v) Sample and population [10 Marks]

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

(c) State and explain four applications of statistics in social sciences. [8 Marks]

2. The following two sets of scores were obtained from the same group of students after exposure to test A and test B.

Test A (x) Test B (y)
10 09
16 14
12 10
09 08
17 13
11 12
From the data:

(a) Calculate the Pearson – product moment correlation coefficient. [6 Marks]

(r_xy=(?¦?z_x z_y ?)/N)

(b) Compute the spearman rank order correlation. [6 Marks]

[r_rank=1-(6?¦D^2 )/(n(n^2-1))]

(c) Comment on the magnitude of the correlation coefficient obtained in (c) and (b) above.
[2 Marks]

3. A research intended to the test the following null hypothesis;
Ho: There is no significant relationship between male and female adults on their perceptions of success of women enterprise funds in Kenya. To test this hypothesis, data was collected from 200 adults in Kenya. The data collected is presented in the table below:

Gender Enterprise fund is a failure
Agree Undecided Disagree Total
Male
Female
Total 40
20
60 8
12
20

72
48
120 120
80
200

Using chi-square test, test the hypothesis at ?=0.05 significant core (?_crit^2?=5.99147)
[15 Marks]
(?^2?=?¦(0-?)^2/?)

4. Given 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) [10 Marks]

Determine y ^ when:

(i) x = 10 [2 1/2 Marks]

(ii) x = -20. [2 1/2 Marks]

5. (a) Distinguish between point estimate and interval estimate. [4 Marks]

(b) Discuss the importance of reliability and validity of measurements in research.
[8 Marks]

(c) 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 [2 Marks]

(ii) What is the probability that the IQ will not lie in the range in (i) above. [1 Mark]

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Soci 403: Social Statistics Ii Question Paper

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