Ten countries were randomly selected from the list of 129 countries in the Country. The countries are compared with respect to their gross national product per capita, an indicator of the average income level of each country. Researchers have found that people in countries with higher income levels tend to live longer than do people in countries with lower income levels. In addition, birth rates tend to be higher in countries with lower incomes, with birth rates declining as countries become better off economically. a. Use this data to determine the Spearman rank correlation of GNP with (i) life expectation, and (ii) the birth rate. b. Test to determine whether the correlation of ranks is statistically significant at the 0.05 level of significance. Crude Birth Rate 34 31 Country GNP Life Expectation 65 59 Algeria India Mongolia El Salvador Ecuador Malaysia Ireland Argentina France Sierra Leone 2360 340 780 62 36 940 64 36 1120 66 74 32 1940 32 750ר 74 18 21 14 2520 71 16090 76 240 Source: Social Indicators for 10 Countries, Actual Value and Rank 47 48 mmlml

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Question 2
Ten countries were randomly selected from the list of 129 countries in the
Country. The countries are compared with respect to their gross national
product per capita, an indicator of the average income level of each country.
Researchers have found that people in countries with higher income levels
tend to live longer than do people in countries with lower income levels.
In addition, birth rates tend to be higher in countries with lower incomes,
with birth rates declining as countries become better off economically.
a. Use this data to determine the Spearman rank correlation of GNP with
(i) life expectation, and (ii) the birth rate.
b. Test to determine whether the correlation of ranks is statistically
significant at the 0.05 level of significance.
Country
GNP
Life
Crude
Expectation
Birth Rate
Algeria
2360
65
34
India
340
59
31
780
Mongolia
El Salvador
Ecuador
Malaysia
Ireland
62
36
940
64
1120
66
32
1940
74
32
7750
74
18
Argentina
France
2520
71
21
16090
76
14
Sierra Leone
240
47
48
Source: Social Indicators for 10 Countries, Actual Value and Rank
O62
Mlml
Transcribed Image Text:Question 2 Ten countries were randomly selected from the list of 129 countries in the Country. The countries are compared with respect to their gross national product per capita, an indicator of the average income level of each country. Researchers have found that people in countries with higher income levels tend to live longer than do people in countries with lower income levels. In addition, birth rates tend to be higher in countries with lower incomes, with birth rates declining as countries become better off economically. a. Use this data to determine the Spearman rank correlation of GNP with (i) life expectation, and (ii) the birth rate. b. Test to determine whether the correlation of ranks is statistically significant at the 0.05 level of significance. Country GNP Life Crude Expectation Birth Rate Algeria 2360 65 34 India 340 59 31 780 Mongolia El Salvador Ecuador Malaysia Ireland 62 36 940 64 1120 66 32 1940 74 32 7750 74 18 Argentina France 2520 71 21 16090 76 14 Sierra Leone 240 47 48 Source: Social Indicators for 10 Countries, Actual Value and Rank O62 Mlml
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