Assuming the requirements are met for the penny study, which of the following explanations describes the correct way to interpret the 95% confidence interval for the difference of the true proportions of women and men who were in favor of retaining the penny as a form of currency?

MATLAB: An Introduction with Applications
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A random sample of BYU-Idaho students was surveyed and asked if they were in favor of retaining the penny as a form of currency in the United States. Out of the 116 women surveyed, 80 said that they were in favor of retaining the penny as a form of currency. Of the 137 men surveyed, 91 said that they were in favor of retaining the penny. Difference = Women - Men The picture below is the question. Use the information above to help.
Assuming the requirements are met for the penny study, which of the
following explanations describes the correct way to interpret the 95%
confidence interval for the difference of the true proportions of women and
men who were in favor of retaining the penny as a form of currency?
95% of all of the differences in proportions of women and men who were in favor
of retaining the penny as a form of currency are in our confidence interval.
O We are 95% confident that more women support retaining the penny as a form of
currency than men.
We are 95% confident that the difference of the sample proportions of women
and men who were in favor of retaining the penny as a form of currency is
somewhere in our confidence interval.
We are 95% confident that the difference of the true proportions of women and
men who were in favor of retaining the penny as a form of currency is somewhere
in our confidence interval.
Transcribed Image Text:Assuming the requirements are met for the penny study, which of the following explanations describes the correct way to interpret the 95% confidence interval for the difference of the true proportions of women and men who were in favor of retaining the penny as a form of currency? 95% of all of the differences in proportions of women and men who were in favor of retaining the penny as a form of currency are in our confidence interval. O We are 95% confident that more women support retaining the penny as a form of currency than men. We are 95% confident that the difference of the sample proportions of women and men who were in favor of retaining the penny as a form of currency is somewhere in our confidence interval. We are 95% confident that the difference of the true proportions of women and men who were in favor of retaining the penny as a form of currency is somewhere in our confidence interval.
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