2 3 Considering the highly economically-developed countries in the world, has there 4 been an increase in the percentage of the labor force that consists of women? In 5 order to test this for the period 1980-1995, we select a random sample of five highly- 6 develped countries. [See footnote at the end of the question.] This is a random 7 sample of the highly developed countries in the world (because we give each highly-developed 8 country as defined by the World Bank an equal chance of appearing in our sample). For each 9 country, we measure the proportion of the labor force that consists of women in each of the 10 two years, finding: 11 Percentage of labor force that consists of 12 women 1995 Country Argentina Korea (Rep.) 13 1980 14 31 15 39 40 16 Mexico 27 31 17 Netherlands 31 40 18 New Zealand 28 36 19 20 As an example of reading this table: In Argentina, 28% of the labor force 21 consisted of women in 1980, and 31% of the labor force consisted of women 22 in 1995. 23 24 a) For the population of highly-developed countries, construct a 95% confidence interval for the mean increase (from 1980 to 1995) in the percentage of the labor force that consisted of women. 25 26 27 Are the data strong enough to allow you to conclude that, among all the highly-developed countries in the world, there was an increase from 1980 to 1995 in the percentag of the labor force that consisted of women? Why or why not? 28 29 30 31 32 (Footnote: "Highly-developed" countries are defined by the World Bank as countries with 33 a gross national product (GNP) of $3,035 per person or more in 1980. The data come from World 34 Development Indicators 1997, published by the World Bank.) 35

College Algebra
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ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 9ECP: A random number generator selects two integers from 1 to 30. What is the probability that both...
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Question
2
3 Considering the highly economically-developed countries in the world, has there
4 been an increase in the percentage of the labor force that consists of women? In
5 order to test this for the period 1980-1995, we select a random sample of five highly-
6 develped countries. [See footnote at the end of the question.] This is a random
7 sample of the highly-developed countries in the world (because we give each highly-developed
8 country as defined by the World Bank an equal chance of appearing in our sample). For each
9 country, we measure the proportion of the labor force that consists of women in each of the
10 two years, finding:
11
Percentage of labor
force that consists of
12
women
13
Country
1980
1995
Argentina
Korea (Rep.)
14
28
31
15
39
40
16
Mexico
27
31
17
Netherlands
31
40
18
New Zealand
28
36
19
20 As an example of reading this table: In Argentina, 28% of the labor force
21 consisted of women in 1980, and 31% of the labor force consisted of women
22 in 1995.
23
24 a) For the population of highly-developed countries, construct a 95% confidence interval
for the mean increase (from 1980 to 1995) in the percentage of the labor force
that consisted of women.
25
26
27
28 b) Are the data strong enough to allow you to conclude that, among all the
highly-developed countries in the world, there was an increase from 1980 to 1995
in the percentag of the labor force that consisted of women? Why or why not?
29
30
31
32 (Footnote: "Highly-developed" countries are defined by the World Bank as countries with
33 a gross national product (GNP) of $3,035 per person or more in 1980. The data come from World
34 Development Indicators 1997, published by the World Bank.)
35
36
Transcribed Image Text:2 3 Considering the highly economically-developed countries in the world, has there 4 been an increase in the percentage of the labor force that consists of women? In 5 order to test this for the period 1980-1995, we select a random sample of five highly- 6 develped countries. [See footnote at the end of the question.] This is a random 7 sample of the highly-developed countries in the world (because we give each highly-developed 8 country as defined by the World Bank an equal chance of appearing in our sample). For each 9 country, we measure the proportion of the labor force that consists of women in each of the 10 two years, finding: 11 Percentage of labor force that consists of 12 women 13 Country 1980 1995 Argentina Korea (Rep.) 14 28 31 15 39 40 16 Mexico 27 31 17 Netherlands 31 40 18 New Zealand 28 36 19 20 As an example of reading this table: In Argentina, 28% of the labor force 21 consisted of women in 1980, and 31% of the labor force consisted of women 22 in 1995. 23 24 a) For the population of highly-developed countries, construct a 95% confidence interval for the mean increase (from 1980 to 1995) in the percentage of the labor force that consisted of women. 25 26 27 28 b) Are the data strong enough to allow you to conclude that, among all the highly-developed countries in the world, there was an increase from 1980 to 1995 in the percentag of the labor force that consisted of women? Why or why not? 29 30 31 32 (Footnote: "Highly-developed" countries are defined by the World Bank as countries with 33 a gross national product (GNP) of $3,035 per person or more in 1980. The data come from World 34 Development Indicators 1997, published by the World Bank.) 35 36
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