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.

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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
65
Birth Rate
Algeria
2360
34
India
340
59
31
Mongolia
El Salvador
780
62
36
940
64
36
Ecuador
1120
66
32
Malaysia
Ireland
Argentina
1940
74
32
750ר
74
18
2520
71
21
France
16090
76
Sierra Leone
240
47
48
MHN H
Transcribed Image Text:Country GNP Life Crude Expectation 65 Birth Rate Algeria 2360 34 India 340 59 31 Mongolia El Salvador 780 62 36 940 64 36 Ecuador 1120 66 32 Malaysia Ireland Argentina 1940 74 32 750ר 74 18 2520 71 21 France 16090 76 Sierra Leone 240 47 48 MHN H
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