Last year, 43% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 36% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 80 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. 28.8 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 = 0.43 Ha:P 0.43 Compute the test statistic and p-value. Z-value 1.26 (to 2 decimals) 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? Do not reject v Ho. We can 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)

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What is the smallest level of significance for which you could draw such a conclusion?

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nment 7 Chapter 9
Last year, 43% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 36%
planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 80 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.
28.8
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.
Ho P
0.43
H.:p <
v 0.43
Compute the test statistic and p-value.
2-value
1.26 (to 2 decimals)
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?
Do not reject
M Ho. We can
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)
O k Mv Wade amainina
Transcribed Image Text:/nb/ui/evo/index.html?elSBN=D9780357131596&id%3D997425964&snapshotld%3D1899372& ENGAGE MINDTAP Q Search this cours nment 7 Chapter 9 Last year, 43% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 36% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 80 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. 28.8 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. Ho P 0.43 H.:p < v 0.43 Compute the test statistic and p-value. 2-value 1.26 (to 2 decimals) 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? Do not reject M Ho. We can 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) O k Mv Wade amainina
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