Last year, 41% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates chat 32% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 55 business Dwners. 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. 18 b. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the
Last year, 41% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates chat 32% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 55 business Dwners. 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. 18 b. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Compute the test statistic and p-value.
See picture
![Last year, 41% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates
that 32% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 55 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.
18
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
0.41
H :p<
0.41
Compute the test statistic and p-value.
z-value
(to 2 decimals)
p-value
(to 4 decimals)
c. Using a 0.01 level of significance, would you conclude that the proportion of business owners providing gifts decreased?
Do not reject
Ho. We cannot
v 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)
Check My Work (2 remaining)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3458b95-5123-4489-b2c3-cf4b0d696559%2F0aa2399d-fa19-4928-b293-c3c2560f46f7%2Fhefbq7g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Last year, 41% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates
that 32% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 55 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.
18
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
0.41
H :p<
0.41
Compute the test statistic and p-value.
z-value
(to 2 decimals)
p-value
(to 4 decimals)
c. Using a 0.01 level of significance, would you conclude that the proportion of business owners providing gifts decreased?
Do not reject
Ho. We cannot
v 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)
Check My Work (2 remaining)
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