Answer :
Final answer:
At a 95% confidence level, the 68-95-99.7 rule indicates that we are highly certain that the true percentage of a population parameter falls within our calculated confidence interval, although exact figures depend on specific study findings.
Explanation:
By the 68-95-99.7 rule (also known as the Empirical Rule), if we assume a normal distribution of data, about 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. When applying a 95% confidence level to a study of 175 people, we are saying that we are 95% confident that the true percentage pertaining to our parameter of interest falls within the range of our calculated confidence interval.
For example, if a study estimated that between 81 percent and 87.4 percent of all adult residents of a city have cell phones with 95% confidence, this means that if we were to take many samples and build confidence intervals in the same way, 95% of these intervals would contain the true population proportion.
It is important to note that the actual percentages of a study's result depend on its findings and the calculated confidence interval, so without the specific data from the study of 175 people, we cannot pinpoint the exact percentages. However, we recognize that the confidence interval constructed at the 95 percent confidence level represents where we expect the true value to lie with high certainty.
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