Last year, 40% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 33% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 85 business owners. a. How many business owners in the survey planned to provide a holiday gift to their employees this year? Round your answer to the nearest whole number. b. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the proportion of business owners providing holiday gifts had decreased from last year. State the hypotheses. Ho: P Select your answer 0.40 Ha: P Select your answer-0.40 Compute the test statistic and p-value. z-value p-value c. Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased? Ho. We - Select your answer ✓conclude that the proportion of business owners providing gifts has decreased from last year to this year. Select your answer - What is the smallest level of significance for which you could draw such a conclusion? (to 4 decimals) (to 2 decimals) (to 4 decimals)
Last year, 40% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 33% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 85 business owners. a. How many business owners in the survey planned to provide a holiday gift to their employees this year? Round your answer to the nearest whole number. b. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the proportion of business owners providing holiday gifts had decreased from last year. State the hypotheses. Ho: P Select your answer 0.40 Ha: P Select your answer-0.40 Compute the test statistic and p-value. z-value p-value c. Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased? Ho. We - Select your answer ✓conclude that the proportion of business owners providing gifts has decreased from last year to this year. Select your answer - What is the smallest level of significance for which you could draw such a conclusion? (to 4 decimals) (to 2 decimals) (to 4 decimals)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Transcribed Image Text:Last year, 40% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 33% planned to provide a holiday
gift to their employees. Suppose the survey results are based on a sample of 85 business owners.
a. How many business owners in the survey planned to provide a holiday gift to their employees this year? Round your answer to the nearest whole number.
b. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the proportion of business owners providing
holiday gifts had decreased from last year.
State the hypotheses.
0.40
Ho: P
H₂ P
- Select your answer
0.40
Compute the test statistic and p-value.
z-value
Select your answer
(to 2 decimals)
(to 4 decimals)
p-value
c. Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased?
Select your answer - Ho. We-Select your answer conclude that the proportion of business owners providing gifts has decreased from last year to this year.
What is the smallest level of significance for which you could draw such a conclusion?
(to 4 decimals)
Hint(s) Check My Work
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