Last year, 40% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 31% 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. 26 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. Hop 0.40 H.:p 0.40 Compute the test statistic and p-value. (to 2 decimals) p-value (to 4 decimals) c. Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased? He. We can z-value M Reject to this year. What is the smallest level of significance for which you could draw such a conclusion? (to 4 decimals) conclude that the proportion of business owners providing gifts has decreased from last y

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Last year, 40% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 31% 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.
26
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.
Hosp
H.:p
Compute the test statistic and p-value.
z-value
0.40
(to 2 decimals)
p-value
(to 4 decimals)
c. Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased?
He. We can
M
0.40
Reject
to this year.
What is the smallest level of significance for which you could draw such a conclusion?
(to 4 decimals)
conclude that the proportion of business owners providing gifts has decreased from last year
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 31% 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. 26 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. Hosp H.:p Compute the test statistic and p-value. z-value 0.40 (to 2 decimals) p-value (to 4 decimals) c. Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased? He. We can M 0.40 Reject to this year. What is the smallest level of significance for which you could draw such a conclusion? (to 4 decimals) conclude that the proportion of business owners providing gifts has decreased from last year
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