(a) Construct a 99% confidence interval for the population proportion. (b) Interpret the results.
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A: See the handwritten solution
Q: A telephone service representative believes that the proportion of customers completely satisfied…
A: v
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- A random sample from a population of adults consists of 67 men and 43 women. (a) Give a 95% confidence interval for the proportion of men in the population. (b) Interpret that confidence interval.Construct a 95% confidence interval for p1 - p2 for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty. Group of answer choices a.(-0.200, -0.021) b.(-1.532, 1.342) c.(-1.324, 1.512) d.(-0.561, 0.651)Of 43 bank customers depositing a check, 24 received some cash back. (a) Construct a 90 percent confidence interval for the proportion of all depositors who ask for cash back. (Round your answers to 4 decimal places.) The 90% confidence interval is from ____ to ____
- A beverage company would like to determine if their drink is preferred to a rival company’s drink. They perform an experiment with 150 randomly selected individuals and have them taste test the two different drinks in a controlled environment so that each person's preference is independent of others. A 90% confidence interval for the proportion preferring their drink is (0.453, 0.587). Which of the following is the correct interpretation of this confidence interval? 90% of all consumers prefer this beverage company’s drink to their rival’s between 45.3% and 58.7% of the time. We’re 90% confident that between 45.3% and 58.7% of all consumers would prefer this beverage company’s drink to their rival’s drink. We’re 90% confident that there’s a 45.3% to 58.7% chance that a randomly selected person would prefer this beverage company’s drink to their rival’s drink. We’re 90% confident that the proportion of people in the sample who prefer this beverage company’s drink over their…A computer store near campus is stocking its shelves and wants to know the relative proportions of students who use PCs vs Macs. A random sample of 60 students is surveyed, and each student is asked whether they use a PC or Mac more often. 55% select ”PC.” (a) What is the population and what is the sample in this study? (b) Calculate a 95% confidence interval for the proportion of UCI students that are PC users. (c) Provide an interpretation of this confidence interval in the context of this problem. (d) The confidence interval is pretty wide and leaves a lot of uncertainty over the proportion of UCIundergarduates who use PCs. With the goal to estimate a narrower 95% confidence interval, what is a simple change to this study that you could suggest for the next time that a similar survey is conducted?A sample of 90 WCC students found that 57 of them were female. (a) Find a point estimate for the percentage of all WCC students that are female. (b) Find the 95% margin of error for the estimate. (c) Make a 95% confidence interval for the percentage of all WCC students that are female. Interpret the interval
- Call me: A sociologist wants to construct a 99% confidence interval for the proportion of children aged 8 - 10 living in New York who own a smartphone.(a) A survey by the National Consumers League estimated the nationwide proportion to be 0.40 . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02 ?A national polling organization conducted a survey asking people whether they would consider buying an electric car if petrol prices continue to rise. In the low-income sample of 200 people asked, 175 said they would not buy an electric car no matter how high petrol prices rise. In the high-income sample of 200 people asked, 127 responded the same. The 95% confidence interval for the difference in proportion of low income people and high income people who would never consider buying an electric car no matter how high the price of petrol got (rounded off to three decimals) is: A. [0.173 : 0.307] B. [0.145 : 0.335] C. [0.159 : 0.321] D. [0.172 : 0.308]A recent poll indicated that 42% of men supported raises taxes to fund additional park services. The poll also found that 64% of women supported such a tax. The sample consisted of 29 men and 25 women. Construct a 90% confidence interval around the difference in proportions.
- How to calculate a 90% confidence interval?A telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the South and the Northeast. The representative's belief is based on the results of a survey. The survey included a random sample of 700700 southern residents and 580580 northeastern residents. 49%49% of the southern residents and 42%42% of the northeastern residents reported that they were completely satisfied with their local telephone service. Find the 80%80% confidence interval for the difference in two proportions. Step 2 of 3: Find the value of the standard error. Round your answer to three decimal places.An insurance company collects data on seat-belt use among drivers in a country. Of 1500 drivers 30-39 years old, 33% said that they buckle up, whereas 458 of 1800 drivers 55-64 years old said that they did. Find a 95% confidence interval for the difference between the proportions of seat-belt users for drivers in the age groups 30-39 years and 55-64 years. ..... Construct a 95% confidence interval. The 95% confidence interval for p, - p2 is from to (Round to three decimal places as needed.)