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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)

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)

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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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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