A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Define confidence interval and degree of confidence. Provide at least one example of a confidence interval and interpret the result.
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- A survey asked, "How many tattoos do you currently have on your body?" Of the 1203 males surveyed, 184 responded that they had at least one tattoo. Of the 1067 females surveyed, 133 responded that they had at least one tattoo. Construct a 99% confidence interval to judge whether the prope one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p, represent the proportion of males with tattoos and p, represent the proportion of females with tattoos. Find the 99% confidence interval for p, - P2- The lower bound is The upper bound is (Round to three decimal places as needed.)arrow_forwardA Surprising fact indicates that a small proportion of teens use a password on their mobile device. A poll chooses a simple random sample of 120 teens and asks if they use a password on their mobile device. The results showed that 56 of teens in our sample used a password on their mobile device. Find a 90 % confidence interval for the proportion of teens who use a password on their mobile device. Interpret your confidence interval.arrow_forwardDetermine whether the statement below makes sense or does not make sense. Explain clearly. Based on our sample, the 95% confidence interval for the mean amount of television watched by adults in a nation is 3.1 to 4.5 hours per day. Therefore, there is 95% chance that the mean for all adults in the nation will fall somewhere in this range and a 5% chance that it will not. Choose the correct answer below. O A. The statement makes sense. There is 95% probability that the confidence interval limits actually contain the true value of the population mean, so the probability it does not fall in this range is 100% – 95% = 5%. %3D . O B. The statement makes sense. There is 5% probability that the confidence interval limits do not contain the true value of the sample mean, so the probability it does not contain the true value of the population mean is also 5%. O C. The statement does not make sense. The probability the population mean is greater than the upper limit is 5% and the probability it…arrow_forward
- Determine whether the statement below makes sense or does not make sense. Explain clearly. Based on our sample, the 95% confidence interval for the mean amount of television watched by adults in a nation is 3.5 to 4.1 hours per day. Therefore, there is 95% chance that the mean for all adults in the nation will fall somewhere in this range and a 5% chance that it will not. Choose the correct answer below. O A. The statement makes sense. There is 95% probability that the confidence interval limits actually contain the true value of the population mean, so the probability it does not fall in this range is 100% - 95% = 5%. O B. The statement does not make sense. The probability the population mean is greater than the upper limit is 5% and the probability it is less than the lower limit is 5%, so the probability it does not is 5% + 5% = 10%. O C. The statement makes sense. There is 5% probability that the confidence interval limits do not contain the true value of the sample mean, so the…arrow_forwardFind an example of a confidence interval for a proportion in the media or scholarly literature (do not use a statistics textbook or website/article that is teaching or demonstrating statistics to find the example).At the very least it must include either the lower and upper bounds or a point estimate with a margin of error.Make sure you have a Proportion confidence interval and NOT a CI for the mean, odds ratio, hazard ratio, or relative risk as these will result in having to REDO the assignment(a) Include a digital photo/screenshot of the original appearance of the confidence interval and a link to the website (or citation) where it can be found. (b) Write the confidence interval in the form (lower bound, upper bound). If there are multiple confidence intervals, just pick one. (c) State the population parameter this confidence interval is trying to estimate. (d) State the confidence level and sample size. If no confidence level is given assume it is 95%95%. (e) Use the point…arrow_forwardWhat is the effect on the size of the confidence interval if a T score is used instead of a Z score? O It causes the interval to be smaller. O It has no effect on the interval. O It causes the interval to be bigger.arrow_forward
- just the multiple choice part thank you!arrow_forwardUse the confidence interval to find the estimated margin of error. Then find the sample mean. A store manager reports a confidence interval of (41.6,81.0) when estimating the mean price (in dollars) for the population of textbooks. The estimated margin of error is enter your response here. (Type an integer or a decimal.)arrow_forwardA survey asked, "How many tattoos do you currently have on your body?" Of the 1207 males surveyed, 180 responded that they had at least one tattoo. Of the 1070 females surveyed, 142 responded that they had at least one tattoo. Construct a 99% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p, represent the proportion of males with tattoos and p, represent the proportion of females with tattoos. Find the 99% confidence interval for p, - p2. The lower bound is The upper bound is (Round to three decimal places as needed.)arrow_forward
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