Last year, 48% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 34% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 90 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. 31 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 holigay gifts had decreased from last year. State the hypotheses. Ho : p- Select your answer- 0.48 Select your answer- 0.48 Compute the test statistic and p-value. (to 2 decimals) Z-value p-value (to 4 decimals) c. Using a 0.02 level of significance, would you conclude that the proportion of business owners providing gifts decreased? - Select your answer - v Ho. We- Select your answer- conclude that the proportion of business owners providing gifts has decreased from last year to this уear. What is the smallest level of significance for which you could draw such a conclusion? (to 4 decimals)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Last year, 48% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 34% planned to
provide a holiday gift to their employees. Suppose the survey results are based on a sample of 90 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.
31
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 holigay gifts had decreased from last year.
State the hypotheses.
Ho : p- Select your answer-
0.48
Hp
Select your answer-
0.48
Compute the test statistic and p-value.
(to 2 decimals)
Z-value
p-value
(to 4 decimals)
c. Using a 0.02 level of significance, would you conclude that the proportion of business owners providing gifts decreased?
- Select your answer - v 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)
Transcribed Image Text:Last year, 48% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 34% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 90 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. 31 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 holigay gifts had decreased from last year. State the hypotheses. Ho : p- Select your answer- 0.48 Hp Select your answer- 0.48 Compute the test statistic and p-value. (to 2 decimals) Z-value p-value (to 4 decimals) c. Using a 0.02 level of significance, would you conclude that the proportion of business owners providing gifts decreased? - Select your answer - v 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)
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