The true proportion of Bury inhabitants below the poverty line is lower than 0.17. The true proportion of Bury inhabitants below the poverty line is greater than 0.17. The sample proportion of Bury inhabitants below the poverty line is lower than 0.17. The sample proportion of Bury inhabitants below the poverty line is greater than 0.17. The true proportion of Bury inhabitants below the poverty line is 0.17. The sample proportion of Bury inhabitants below the poverty line is 0.17.
The true proportion of Bury inhabitants below the poverty line is lower than 0.17. The true proportion of Bury inhabitants below the poverty line is greater than 0.17. The sample proportion of Bury inhabitants below the poverty line is lower than 0.17. The sample proportion of Bury inhabitants below the poverty line is greater than 0.17. The true proportion of Bury inhabitants below the poverty line is 0.17. The sample proportion of Bury inhabitants below the poverty line is 0.17.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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An analyst from the UK Office of Statistics is investigating the provision of social support services throughout the city of Manchester.
For each borough in the city they will establish the required level of support based on the percentage of residents below the poverty line.
They take a random sample of 122 individuals in the borough of Bury and find that 25 have annual net-income below the poverty line. The analyst will decide to provide Bury with additional social services support if the sample data provides sufficient evidence that the true proportion of people living below poverty line is greater than 17%.
A test of hypothesis is conducted.
What is the null hypothesis?
The true proportion of Bury inhabitants below the poverty line is lower than 0.17.
The true proportion of Bury inhabitants below the poverty line is greater than 0.17.
The sample proportion of Bury inhabitants below the poverty line is lower than 0.17.
The sample proportion of Bury inhabitants below the poverty line is greater than 0.17.
The true proportion of Bury inhabitants below the poverty line is 0.17.
The sample proportion of Bury inhabitants below the poverty line is 0.17.
What is the alternative hypothesis?
The true proportion of Bury inhabitants below the poverty line is 0.17.
The true proportion of Bury inhabitants below the poverty line is lower than 0.17.
The sample proportion of Bury inhabitants below the poverty line is 0.17.
The sample proportion of Bury inhabitants below the poverty line is greater than 0.17.
The true proportion of Bury inhabitants below the poverty line is greater than 0.17.
The sample proportion of Bury inhabitants below the poverty line is lower than 0.17.
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