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Last year, 42% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 33% 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. 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.

Last year, 42% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 33% 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. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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m Set 4 Last year, 42% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 33% planned to provide a holiday gift to their employees. Suppose the survey results are based on A. D. a sample of 80 business owners. 1. 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. 3. b. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to 4. determine whether the proportion of business owners providing holiday gifts had decreased from last year. 5. State the hypotheses. 6. Ho P Select your answer 0.42 7. Ha:P Select your answer 0.42 8. Compute the test statistic and p-value. 9. z-value (to 2 decimals) 0. 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? Select your answer Ho. We Select your answer - v conclude that the proportion of business owners providing gifts has decreased from last year to this year, CA What is the smallest level of significance for which you could draw such a conclusion? (to 4 decimals) CS Scanned with CamScanner
Transcribed Image Text:m Set 4 Last year, 42% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 33% planned to provide a holiday gift to their employees. Suppose the survey results are based on A. D. a sample of 80 business owners. 1. 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. 3. b. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to 4. determine whether the proportion of business owners providing holiday gifts had decreased from last year. 5. State the hypotheses. 6. Ho P Select your answer 0.42 7. Ha:P Select your answer 0.42 8. Compute the test statistic and p-value. 9. z-value (to 2 decimals) 0. 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? Select your answer Ho. We Select your answer - v conclude that the proportion of business owners providing gifts has decreased from last year to this year, CA What is the smallest level of significance for which you could draw such a conclusion? (to 4 decimals) CS Scanned with CamScanner
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