p = proportion of students who abandon their studies due to lack of economic resources A sociologist assures that in his country more than 40% of the students who abandon their studies lack economic resources. He takes a sample of 70 student dropouts and finds that 35 of them lack financial resources. Can the sociologist, with a level of significance α = 0.05, consider that, among the dropout students, those who lack economic resources are a percentage greater than 40%? He calculates with 4 decimals Choose: 1. the correct conclusion 2. the correct interpretation Select one: a) 1. H0 is not rejected 2. There is not enough evidence to consider, with a confidence of 95%, that the percentage of those who lack economic resources among the students who abandon their studies is greater than 40%. b) 1. H0 is rejected 2. There is not enough evidence to consider, with a confidence of 95%, that the percentage of those who lack economic resources among the students who abandon their studies is greater than 40%. c) 1. H0 is not rejected 2. It can be ensured, with 95% confidence, that the percentage of students who lack financial resources among those who drop out is greater than 40%. d) 1. H0 is rejected 2. It can be ensured, with 95% confidence, that the percentage of students who lack financial resources among those who drop out is greater than 40%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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p = proportion of students who abandon their studies due to lack of economic resources

A sociologist assures that in his country more than 40% of the students who abandon their studies lack economic resources.

He takes a sample of 70 student dropouts and finds that 35 of them lack financial resources.

Can the sociologist, with a level of significance α = 0.05, consider that, among the dropout students, those who lack economic resources are a percentage greater than 40%? He calculates with 4 decimals

Choose:

1. the correct conclusion
2. the correct interpretation

Select one:

a)

1. H0 is not rejected
2. There is not enough evidence to consider, with a confidence of 95%, that the percentage of those who lack economic resources among the students who abandon their studies is greater than 40%.

b)

1. H0 is rejected
2. There is not enough evidence to consider, with a confidence of 95%, that the percentage of those who lack economic resources among the students who abandon their studies is greater than 40%.

c)

1. H0 is not rejected
2. It can be ensured, with 95% confidence, that the percentage of students who lack financial resources among those who drop out is greater than 40%.

d)

1. H0 is rejected
2. It can be ensured, with 95% confidence, that the percentage of students who lack financial resources among those who drop out is greater than 40%.

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