A random sample is collected to test the hypothesis that more than 60% of the Perlis population favours a new youth centre near Kangar. The calculated p-value is 0.025. If the test was performed at a 5% significance level, which statement is CORRECT? A. We can conclude that 40% of the population is not in favour of the new youth centre. В. We cannot conclude that 40% of the population favours the new youth centre. C. We can conclude that more than 60% of the population favours the new youth centre. D. We cannot conclude that more than 60% of the population favours the new youth centre. A Answer

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Question
A random sample is collected to test the hypothesis that more than 60% of the Perlis
population favours a new youth centre near Kangar. The calculated p-value is 0.025. If
the test was performed at a 5% significance level, which statement is CORRECT?
A. We can conclude that 40% of the population is not in favour of the new youth
centre.
We cannot conclude that 40% of the population favours the new youth centre.
| We can conclude that more than 60% of the population favours the new youth
В.
С.
centre.
D. We cannot conclude that more than 60% of the population favours the new
youth centre.
A.
В
D
Answer
A 99% confidence interval for a population proportion based on a random sample of
size sixty is 55% to 68%. Given the hypothesis H, : p = 70% versus H, : p + 70%,
A. we reject H, at 1% significance level.
B. we fail to reject H,at 1% significance level.
we have sufficient evidence to conclude that the population proportion is
different than 70%.
C.
D.
we have insufficient evidence to conclude that the population proportion is
different than 70%.
A
В
D
Answer
Transcribed Image Text:A random sample is collected to test the hypothesis that more than 60% of the Perlis population favours a new youth centre near Kangar. The calculated p-value is 0.025. If the test was performed at a 5% significance level, which statement is CORRECT? A. We can conclude that 40% of the population is not in favour of the new youth centre. We cannot conclude that 40% of the population favours the new youth centre. | We can conclude that more than 60% of the population favours the new youth В. С. centre. D. We cannot conclude that more than 60% of the population favours the new youth centre. A. В D Answer A 99% confidence interval for a population proportion based on a random sample of size sixty is 55% to 68%. Given the hypothesis H, : p = 70% versus H, : p + 70%, A. we reject H, at 1% significance level. B. we fail to reject H,at 1% significance level. we have sufficient evidence to conclude that the population proportion is different than 70%. C. D. we have insufficient evidence to conclude that the population proportion is different than 70%. A В D Answer
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