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 = v 0.41 H : p < Compute the test statistic and p-value. 0.41 z-value -1.417 (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)

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

ent 7 Chapter 9
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.
Но : р 3
P[ =
0.41
Ha : P
0.41
Compute the test statistic and p-value.
Z-value
-1.417 (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).
Transcribed Image Text:ent 7 Chapter 9 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. Но : р 3 P[ = 0.41 Ha : P 0.41 Compute the test statistic and p-value. Z-value -1.417 (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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