1. A researcher is interested in the world average growth rate. To study thus research question, a random sample of 7 countries is chosen and the growth rates for them is summarized in the table below: Country Growth rate (%) A 5 B 10 C 3 -6 E F 4 G -3 The researcher believe that growth rate of world are normally distributed with population variance of 2. The researcher believes that the world average growth rate is 2. Test the researcher hypothesis at 1% significance level against the two sided alternative using z-comparison approach. Clearly write null and alternative hypothesis for this question. b) Does your answer change if the significance level is changed to 10% significance level in part a)? Explain. c) Explain in words, how decreasing the significance level affects your hypothesis testing: Does 'rejecting the null hypothesis' scenario become less or more strict?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
A researcher is interested in the world average growth rate. To study thus research question, a
random sample of 7 countries is chosen and the growth rates for them is summarized in the table
1.
below:
Country Growth rate (%)
A
5
В
10
3
-6
E
F
4
G
-3
The researcher believe that growth rate of world are normally distributed with population
variance of 2.
a)
The researcher believes that the world average growth rate is 2. Test the researcher
hypothesis at 1% significance level against the two sided alternative using z-comparison
approach. Clearly write null and alternative hypothesis for this question.
b)
Does your answer change if the significance level is changed to 10% significance level
in part a)? Explain.
c)
Explain in words, how decreasing the significance level affects your hypothesis testing:
Does 'rejecting the null hypothesis' scenario become less or more strict?
Transcribed Image Text:A researcher is interested in the world average growth rate. To study thus research question, a random sample of 7 countries is chosen and the growth rates for them is summarized in the table 1. below: Country Growth rate (%) A 5 В 10 3 -6 E F 4 G -3 The researcher believe that growth rate of world are normally distributed with population variance of 2. a) The researcher believes that the world average growth rate is 2. Test the researcher hypothesis at 1% significance level against the two sided alternative using z-comparison approach. Clearly write null and alternative hypothesis for this question. b) Does your answer change if the significance level is changed to 10% significance level in part a)? Explain. c) Explain in words, how decreasing the significance level affects your hypothesis testing: Does 'rejecting the null hypothesis' scenario become less or more strict?
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