Last year, 43% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 36% 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. 28.8 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 = 0.43 Ha:P 0.43 Compute the test statistic and p-value. Z-value 1.26 (to 2 decimals) p-value (to 4 decimals) c. Using a 0.02 level of significance, would you conclude that the proportion of business owners providing gifts decreased? Do not reject v Ho. We can 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, 43% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 36% 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. 28.8 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 = 0.43 Ha:P 0.43 Compute the test statistic and p-value. Z-value 1.26 (to 2 decimals) p-value (to 4 decimals) c. Using a 0.02 level of significance, would you conclude that the proportion of business owners providing gifts decreased? Do not reject v Ho. We can 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)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

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

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ENGAGE MINDTAP
Q Search this cours
nment 7 Chapter 9
Last year, 43% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 36%
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.
28.8
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.
0.
Ho P
0.43
H.:p <
v 0.43
Compute the test statistic and p-value.
2-value
1.26 (to 2 decimals)
p-value
(to 4 decimals)
c. Using a 0.02 level of significance, would you conclude that the proportion of business owners providing gifts decreased?
Do not reject
M Ho. We can
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)
O k Mv Wade amainina

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