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The following statistical information is derived by a sample survey for six vill

ID: 3354588 • Letter: T

Question

The following statistical information is derived by a sample survey for six villages of mandi district in himachal Pradesh . Are the adoption rates of modern fertilizer and high yielding varieties related to the living standard of the villages?

Respondents classified according to villages and levels of living

Levels of living scores

Villages

zero

One

two

three

Four

Five

Total cases

Village scores

Sadhiyani

4

6

2

3

3

3

21

2.19

sangroh

7

5

1

4

2

2

21

1.76

munjakhali

5

8

4

---

1

1

19

1.32

dograin

2

11

3

1

1

---

18

1.33

Gagal

13

----

4

1

---

---

18

0.50

longni

8

4

1

---

---

---

13

0.46

Total

39

34

15

9

7

6

110

Tables 32                                                                                       Table 33

Villages –wise analysis of adoption of fertilizers                   Villages –wise analysis of adoption of improved seed

Villages

% of adoption

% adoption before three years

village

Percentage of adoption

% of adoption before three years

Sadhiyani

100

0.0

Sadhiyani

95.3

0.0

sangroh

90.4

5.3

sangroh

95.3

5.0

dograin

83.3

6.6

longni

92.3

25.0

munjakhali

78.9

6.6

dograin

88.8

25.0

longni

69.2

22.2

munjakhali

63.3

8.3

Gagal

50

0.0

Gagal

44.4

0.0

Source : C RAJAGOPALAN AND JASPAL SINGH. ADOPTION OF AGRICULTURAL INNOVATION DELHI; NATIONAL PUBLISHING HOUSE 1971

Levels of living scores

Villages

zero

One

two

three

Four

Five

Total cases

Village scores

Sadhiyani

4

6

2

3

3

3

21

2.19

sangroh

7

5

1

4

2

2

21

1.76

munjakhali

5

8

4

---

1

1

19

1.32

dograin

2

11

3

1

1

---

18

1.33

Gagal

13

----

4

1

---

---

18

0.50

longni

8

4

1

---

---

---

13

0.46

Total

39

34

15

9

7

6

110

s derived sumplh susrvey for six villages of Mand Diatndt in Himachal PradesR . Are the adoption Tate medern fedi l TABLE 1211121 TABLI! TABLE 33 Village-we Nalysis st Adoption 133 133 Source C Heuse 9t

Explanation / Answer

Let x = living standard score; y = Increase in percentage adoption of fertilizer

z = Increase in percentage adoption of improved seed

The correlation coefficient between x and y = rxy = 0.99943

The correlation coefficient between x and z = rxz = 0.9552

Both correlation coefficients are very high.

So, there is evidence to suggest that the adoption rates of modern fertilizer and high yielding varieties related to the living standard of the villages. ANSWER

Values of x, y and z are given in the table below:

Village

Living Standard Score

Increase in percentage adoption of fertilizer

Increase in percentage adoption of improved seed

Sadhiyani

2.19

100

95.3

sangroh

1.76

85.1

90.3

munjakhali

1.32

76.7

67.3

dograin

1.33

72.3

63.8

Gagal

0.5

47

55

longni

0.46

50

44.4

Village

Living Standard Score

Increase in percentage adoption of fertilizer

Increase in percentage adoption of improved seed

Sadhiyani

2.19

100

95.3

sangroh

1.76

85.1

90.3

munjakhali

1.32

76.7

67.3

dograin

1.33

72.3

63.8

Gagal

0.5

47

55

longni

0.46

50

44.4

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