An online dating company wants to investigate perceptions of the services they offer. Two independent research companies collect data and ask several questions of a sample of individuals who identify as "single." Specifically, they want to determine at a 5% significance level if more than half of single people answer "yes" to the question, "Do you think that online dating is right for you?" The results for each researcher appear in the following table. Company A Company B P-value = 0.021 P-value = 0.063 "At the 5% significance level, the data provide convincing evidence that more than half of single people believe that online dating is right for them." "At the 5% significance level, the data do not provide convincing evidence that more than half of single people believe that online dating is right for them." Part A: Identify at least two reasons why the companies came up with different P-values. Part B: A researcher at Company B revisits the analysis and instead concludes the following: "At the 5% significance level, the data do provide convincing evidence that half of single people believe that online dating is right for them." What is wrong with this statement?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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An online dating company wants to investigate perceptions of the services they offer. Two
independent research companies collect data and ask several questions of a sample of individuals
who identify as "single."
Specifically, they want to determine at a 5% significance level if more than half of single people
answer "yes" to the question, "Do you think that online dating is right for you?"
The results for each researcher appear in the following table.
Company A
Company B
P-value = 0.021
P-value = 0.063
"At the 5% significance level, the data provide
convincing evidence that more than half of
single people believe that online dating is right
for them."
"At the 5% significance level, the data do not
provide convincing evidence that more than half
of single people believe that online dating is
right for them."
Part A: Identify at least two reasons why the companies came up with different P-values.
Part B: A researcher at Company B revisits the analysis and instead concludes the following:
"At the 5% significance level, the data do provide convincing evidence that half of single people
believe that online dating is right for them."
What is wrong with this statement?
Transcribed Image Text:An online dating company wants to investigate perceptions of the services they offer. Two independent research companies collect data and ask several questions of a sample of individuals who identify as "single." Specifically, they want to determine at a 5% significance level if more than half of single people answer "yes" to the question, "Do you think that online dating is right for you?" The results for each researcher appear in the following table. Company A Company B P-value = 0.021 P-value = 0.063 "At the 5% significance level, the data provide convincing evidence that more than half of single people believe that online dating is right for them." "At the 5% significance level, the data do not provide convincing evidence that more than half of single people believe that online dating is right for them." Part A: Identify at least two reasons why the companies came up with different P-values. Part B: A researcher at Company B revisits the analysis and instead concludes the following: "At the 5% significance level, the data do provide convincing evidence that half of single people believe that online dating is right for them." What is wrong with this statement?
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