Question
Last year, 40% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 32% planned
Last year, 40% 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 70 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.
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 ___________ .40 | - Select your answer -<>= | |
Ha : P _____________ .40 | - Select your answer -<>= |
Compute the test statistic and p-value.
z-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?
What is the smallest level of significance for which you could draw such a conclusion? (to 4 decimals)
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