Question 14: A landlord of an apartment complex bases the company's advertising on the proportion of available units in different sizes. In the past, the proportions were: 12% studios, 10% 1-Bedroom, 21% 2- Bedroom, and 57% 3-Bedroom. To confirm if these numbers were still accurate, a count of available units was conducted with the following results: 18 studios, 56 1-Bedroom, 10 2-Bedroom, and 30 3- Bedroom. Test at a 0.05 level of significance if the previous proportions are still valid. Part A: State the null and alternate hypotheses. Part B: List the values of the expected counts. Part C: Determine the test statistic. Part D: Determine the p-value. Part E: Draw a conclusion.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 14:
A landlord of an apartment complex bases the company's advertising on the proportion of available
units in different sizes. In the past, the proportions were: 12% studios, 10% 1-Bedroom, 21% 2-
Bedroom, and 57% 3-Bedroom. To confirm if these numbers were still accurate, a count of available
units was conducted with the following results: 18 studios, 56 1-Bedroom, 10 2-Bedroom, and 30 3-
Bedroom. Test at a 0.05 level of significance if the previous proportions are still valid.
Part A: State the null and alternate hypotheses.
Part B: List the values of the expected counts.
Part C: Determine the test statistic.
Part D: Determine the p-value.
Part E: Draw a conclusion.
Transcribed Image Text:Question 14: A landlord of an apartment complex bases the company's advertising on the proportion of available units in different sizes. In the past, the proportions were: 12% studios, 10% 1-Bedroom, 21% 2- Bedroom, and 57% 3-Bedroom. To confirm if these numbers were still accurate, a count of available units was conducted with the following results: 18 studios, 56 1-Bedroom, 10 2-Bedroom, and 30 3- Bedroom. Test at a 0.05 level of significance if the previous proportions are still valid. Part A: State the null and alternate hypotheses. Part B: List the values of the expected counts. Part C: Determine the test statistic. Part D: Determine the p-value. Part E: Draw a conclusion.
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