10. A research group studying the use of Apple Pay asked the question, "Do you ever use Apple Pay payment at a grocery store?" to people selected from two random samples. One sample consisted of older adults, aged 35 years and older, and the other sample consisted of younger adults, ages 18 to 34 years old. The proportion of people who answered yes in each sample was used to create a 95 percent confidence interval of (0.097,0.125) to estimate the difference (younger minus older) between the population of people who would answer yes to the question. Which of the following is the best description of what is meant by 95 percent confidence? a) The probability is 0.95 that the difference in the population proportions of people who would answer yes to the question is between 0.097 and 0.125. b) The probability is 0.95 that the difference in the sample proportion of people who would answer yes to the question is between 0.97 and 0.125. c) In repeated random sampling with the same sample size, approximately 95% of the intervals tonstructed from the samples will capture the difference in population proportions of people who would answer yes to the question. make a n onnrovimately 95% of the intervals

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10. A research group studying the use of Apple Pay asked the question, "Do you ever use Apple Pay to make a
payment at a grocery store?" to people selected from two random samples. One sample consisted of older
adults, aged 35 years and older, and the other sample consisted of younger adults, ages 18 to 34 years old.
The proportion of people who answered yes in each sample was used to create a 95 percent confidence
interval of (0.097,0.125) to estimate the difference (younger minus older) between the population of
people who would answer yes to the question. Which of the following is the best description of what is
meant by 95 percent confidence?
a) The probability is 0.95 that the difference in the population proportions of people who would
answer yes to the question is between 0.097 and 0.125.
b) The probability is 0.95 that the difference in the sample proportion of people who would answer
yes to the question is between 0.97 and 0.125.
c) In repeated random sampling with the same sample size, approximately 95% of the intervals
tonstructed from the samples will capture the difference in population proportions of people who
would answer yes to the question.
d) In repeated random sampling with the same sample size, approximately 95% of the intervals
constructed from the samples will capture the difference in sample proportion of people who
would answer yes to the question.
In repeated random sampling with the same sample size, approximately 95% of the sample
proportions from the younger group will be between 0.097 and 0.125 greater than the sample
proportion from the older group.
Transcribed Image Text:10. A research group studying the use of Apple Pay asked the question, "Do you ever use Apple Pay to make a payment at a grocery store?" to people selected from two random samples. One sample consisted of older adults, aged 35 years and older, and the other sample consisted of younger adults, ages 18 to 34 years old. The proportion of people who answered yes in each sample was used to create a 95 percent confidence interval of (0.097,0.125) to estimate the difference (younger minus older) between the population of people who would answer yes to the question. Which of the following is the best description of what is meant by 95 percent confidence? a) The probability is 0.95 that the difference in the population proportions of people who would answer yes to the question is between 0.097 and 0.125. b) The probability is 0.95 that the difference in the sample proportion of people who would answer yes to the question is between 0.97 and 0.125. c) In repeated random sampling with the same sample size, approximately 95% of the intervals tonstructed from the samples will capture the difference in population proportions of people who would answer yes to the question. d) In repeated random sampling with the same sample size, approximately 95% of the intervals constructed from the samples will capture the difference in sample proportion of people who would answer yes to the question. In repeated random sampling with the same sample size, approximately 95% of the sample proportions from the younger group will be between 0.097 and 0.125 greater than the sample proportion from the older group.
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