Example 1: The owner of a local restaurant chain in town was trying to determine the best location to open her next restaurant and she had narrowed it down to two locations. She wanted to make her decision based on how interested residents in each area were in her restaurant. So she hired an independent company to survey residents from each neighborhood to gauge their interest. In the first neighborhood, 120 residents were surveyed and 84 of them expressed interest in the new restaurant. In the second neighborhood, 200 residents were surveyed and 110 of them expressed interest in the new restaurant. Carry out an appropriate hypothesis test at the a = 0.02 level to determine if there is sufficient evidence to suggest that one neighborhood is more interested in the new restaurant than the other.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Example 1: The owner of a local restaurant chain in town was trying to determine the best
location to open her next restaurant and she had narrowed it down to two locations. She wanted
to make her decision based on how interested residents in each area were in her restaurant. So
she hired an independent company to survey residents from each neighborhood to gauge their
interest. In the first neighborhood, 120 residents were surveyed and 84 of them expressed
interest in the new restaurant. In the second neighborhood, 200 residents were surveyed and
110 of them expressed interest in the new restaurant. Carry out an appropriate hypothesis test
at the a = 0.02 level to determine if there is sufficient evidence to suggest that one
neighborhood is more interested in the new restaurant than the other.
Transcribed Image Text:Example 1: The owner of a local restaurant chain in town was trying to determine the best location to open her next restaurant and she had narrowed it down to two locations. She wanted to make her decision based on how interested residents in each area were in her restaurant. So she hired an independent company to survey residents from each neighborhood to gauge their interest. In the first neighborhood, 120 residents were surveyed and 84 of them expressed interest in the new restaurant. In the second neighborhood, 200 residents were surveyed and 110 of them expressed interest in the new restaurant. Carry out an appropriate hypothesis test at the a = 0.02 level to determine if there is sufficient evidence to suggest that one neighborhood is more interested in the new restaurant than the other.
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