#10 Write the following in inequality notation, interval notation and graph the interval. The confidence interval estimate of a population proportion has been found to be 0.4224+- .11
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#10 Write the following in inequality notation, interval notation and graph the interval.
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- A microbiologist wants to estimate the concentration of a certain type of bacterium in a waste-water sample. She puts a 0.5 mL sample of the wastewater on a microscope slide and counts 39 bacteria. Estimate the concentration of bacteria, per mL, in this wastewater, and find the uncertainty in the estimate.Solve the problem and show complete solution: A researcher claims that 75% of college students would rather spend their extra money for cellphone loads than cigarettes. Another researcher would like to verify this claim. She randomly selected 400 college students. Two hundred ninety-six of these 400 students said that they would rather spendtheir extra money on cell phone loads than cigarettes. At 0.05 level of confidence, is there enough evidence to conclude that the percentage of students who would rather spend their extra money for cellphone loads than cigarettes is different from 75%?A sample of Americans was questioned. The proportion in support of Mr. Trump was 48%. The proportion in support of Mr. Biden was 43% The margin of error is 3% a.) What is the lower bound of the interval for the proportion in support of Mr. Trump? b.) What is the upper bound for the interval for the proportion in support of Mr. Biden? c.) Do the intervals overlap on the x-axis?
- An example of the vertical-horizontal illusion is shown in the figure. Although the two lines are exactly the same length, the vertical line appears to be much longer. To examine the strength of this illusion, a researcher prepared an example in which both lines were exactly 10 inches long. The example was shown to individual participants who were told that the horizontal line was 10 inches long and then were asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate was M = 12.2 inches with a standard deviation of s = 1.00. a. Use a one-tailed hypothesis test with α = .01 to demonstrate that the individuals in the sample significantly overestimate the true length of the line. (Note: Accurate estimation would produce a mean of μ = 10 inches.) b. Calculate the estimated d and r2, the percentage of variance accounted for, to measure the size of this effect. c. Construct a 95% confidence interval for the population mean…An example of the vertical-horizontal illusion is shown in the figure. Although the two lines are exactly the same length, the vertical line appears to be much longer. To examine the strength of this illusion, a researcher prepared an example in which both lines were exactly 10 inches long. The example was shown to individual participants who were told that the horizontal line was 10 inches long and then were asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate was M = 12.2 inches with a standard deviation of s = 1.00.An example of the vertical-horizontal illusion is shown in the figure. Although the two lines are exactly the same length, the vertical line appears to be much longer. To examine the strength of this illusion, a researcher prepared an example in which both lines were exactly 10 inches long. The example was shown to individual participants who were told that the horizontal line was 10 inches long and then were asked to estimate the length of the vertical line. For a sample of n = 25 participants, the average estimate was M = 12.2 inches with a standard deviation of s =1.00. Use a one-tailed hypothesis test with a =.01 to demonstrate that the individuals in the sample significantly overestimate the true length of the line. (Note: Accurate estimation would produce a mean of m =10 inches.) Calculate the estimated d and r2, the percentage of variance accounted for, to measure the size of this effect. Construct a 95% confidence interval for the population mean estimated length of the…
- Golf members have a median age of 39 years and an interquartile range of 12 years. What can you conclude about the percentage of golf members aged between 33 and 45? The percentage is at most 60%. The percentage is near 25%. The percentage is near 50%. The percentage was unable to be calculated.3. What proportion of students are accepted into Law School? You survey a random sample of 525 Law School applicants and find that 44% of them were accepted into Law School. Use this information to construct a 99% confidence in order to estimate the population proportion of students who are accepted into Law School. As you construct the interval, round your margin of error to three decimal places as you are engaging in calculations, and choose the answer below that is closest to what you calculate. A. 0.410 to 0.470 B. 0.327 to 0.553 C. 0.418 to 0.462 D. 0.384 to 0.496 E. 0.439 to 0.441State whether the data described below are discrete or continuous, and explain why. The numbers of times different employees go to the bathroom in a workday Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are continuous because the data can only take on specific values. C. The data are discrete because the data can only take on specific values. D. The data are continuous because the data can take on any value in an interval.
- Mike must work at least 18 hours a week to supplement his income while attending school. He has the opportunity to work in two retail stores. In store 1, he can work between 5 and 13 hours a week, and in store 2, he is allowed between 6 and 11 hours. Both stores pay the same hourly wage. In deciding how many hours to work in each store, Mike wants to base his decision on work stress. Based on interviews with present employees, Mike estimates that, on an ascending scale of 1 to 10, the stress factors are 8 and 6 at stores 1 and 2, respectively. Because stress mounts by the hour, he assumes that the total stress for each store at the end of the week is proportional to the number of hours he works in the store. How many hours should Mike work in each store? a) Define the decision variables b) LP model c) feasible region d) optimal solution e) final answer in statement formThe recidivism rate for convicted sex offenders is 13%. A warden suspects that this percent is lower if the sex offender is also a drug addict. Of the 371 convicted sex offenders who were also drug addicts, 45 of them became repeat offenders. What can be concluded at the Ho: (please enter a decimal) H1: (Please enter a decimal)The test statistic = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)Degrees of freedom between groups is 3; degrees of freedom within groups is 16; MS-within is 10.31; there are 4 conditions with 5 participants in each condition. What is the HSD value