7 (a) i) Define a hypothesis and list any five (5) characteristics of hypothesis testing.

ii) List the basic steps involved in carrying out hypothesis testing.

(b) i)What do you understand by the term "sampling technique"? State and explain the types of sampling techniques.

(c)i) What values of the test statistic will lead you to reject or accept H_o?

ii) The table below contains observations on the quantity demanded (Y) of a certain commodity, its price (X₁) and consumer's income (X₂).

Qty Demanded ( Y )	Price ( X1 )	Income ( X2 )
100	5	1000
75	7	600
80	6	1200
70	6	500
50	8	300
65	7	400
90	5	1300
100	4	1100
110	3	1300
60	9	30

(iii) Fit a linear regression to these observations.

(iv) Compute the coefficient of multiple determinations.

(v) Interpret your result in (iii) and (iv) above.

8(a) Using illustrative examples, make a case for the relevance of hypothesis in the area of your discipline.

(b) Differentiate between interview and questionnaire. For what reasons would you prefer interview to mail questionnaire.

(c) Describe the procedure you will follow to achieve maximum percentage returns in an administered questionnaire.

(d) In an intelligence test on 10 students the following scores were obtained: 105, 120, 90, 65, 130, 110, 120, 115, 125 and 100. Given that the average score for the class before a special tutorial for the test was 105. Has the special tutorial improved the performance of the students at 1% level of significance?