ast year, 49% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 38% planned to rovide a holiday gift to their employees. Suppose the survey results are based on a sample of 85 business owners. . 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 umber. 32 . 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 usiness owners providing holiday gifts had decreased from last year. State the hypotheses. Họ :p[ = 0.49 Ha :p < 0.49 Compute the test statistic and p-value. z-value -2.03 (to 2 decimals) p-value 0.0212 (to 4 decimals) . Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased? Reject Họ. We can conclude that the proportion of business owners providing gifts has decreased from ast year to this year. Vhat is the smallest level of significance for which you could draw such a conclusion? 0.0200 (to 4 decimals)

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Last year, 49% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 38% 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.
32
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 2
0.49
На : р
0.49
Compute the test statistic and p-value.
z-value
-2.03
(to 2 decimals)
p-value 0.0212
(to 4 decimals)
c. Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased?
Reject
Ho. We can
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?
0.0200
(to 4 decimals)
Transcribed Image Text:Last year, 49% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 38% 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. 32 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 2 0.49 На : р 0.49 Compute the test statistic and p-value. z-value -2.03 (to 2 decimals) p-value 0.0212 (to 4 decimals) c. Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts decreased? Reject Ho. We can 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? 0.0200 (to 4 decimals)
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