Amy works for a company that produces plastic lids and cups for restaurants. She wants to estimate what proportion of lids produced in a day have a defect that makes them not fit the cups. She takes a random sample of 250250250 lids from the more than 10,00010,00010, comma, 000 total lids produced that day and finds 151515 lids in the sample with this defect. Based on this sample, which of the following is a 99%99%99, percent confidence interval for the proportion of lids produced that day with this defect?

Amy works for a company that produces plastic lids and cups for restaurants. She wants to estimate what proportion of lids produced in a day have a defect that makes them not fit the cups. She takes a random sample of 250250250 lids from the more than 10,00010,00010, comma, 000 total lids produced that day and finds 151515 lids in the sample with this defect. Based on this sample, which of the following is a 99%99%99, percent confidence interval for the proportion of lids produced that day with this defect?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.The National Council of Small Businesses is interested in the proportion of small businesses that declared Chapter 11 bankruptcy last year. Since there are so many small businesses, the National Council intends to estimate the proportion from a random sample. Let p be the proportion of small businesses that declared Chapter 11 bankruptcy last year.
The impact of a low-calorie diet on laboratory mice's longevity is being investigated by a medical researcher. Twenty mice are split into two groups (E and F) by random. A typical diet is given to Group E, while Group F is given a diet that only contains 70% as many calories as Group E's diet. The length of life (in days) of each mouse over the 36-month trial is documented. Table 2 provides the data that was obtained. The symbol of double star (**) signifies that the mouse was still alive at the end of the investigation. (a) (b) (c) Table 2: The length of life (in days) of each mouse Group E 900 907 751 833 920 787 830 877 848 901 Group F 1037 905 1023 988 1078 1011 ** 1063 898 1033 State a suitable null and alternative hypotheses for the problem. At 5% significance level, test the hypotheses in part (a) by using an appropriate nonparametric test. Write your conclusion.
What test do I need to run?
One research shows that of patients suffering from a coronavirus 5% die of it. What is the percentage that of 4 randomly selected patients, 2 will recover? Select one: A. 0.0000338 B. 0.00338 C. 0.0000312 D. 0.00312 E. None
The percent of the population that is left-handed has historically been 10%. In a random sample of n=500 people there are 58 that are left-handed. The researcher would like to test the hypothesis that the percent of the population that is left-handed has increased. Determine the value of the test statistic
Epistasis is a phenomenon in which one gene controls the expression of another. In one case, a dihybrid cross should yield a 9:3:4 ratio. You collect the following data on mice: black coat: 138 brown coat: 46 white coat: 60 Is there any reason to doubt the ratio of 9 black : 3 brown : 4 white?
Public relation companies conducted two surveys about deodorants. The first survey asked a random sample of 500 men about their use of a natural deodorant. A second survey asked the same questions to a random sample of 550 women. In these two studies, 68% of men and 44% of women stated they were dissatisfied with the effectiveness of natural deodorants. Use these results to answer the following questions about the proportion of men and women's satisfaction with natural deoderants. (Round to the nearest whole person as needed). What is the difference between the proportion of men and women? _____ (write as a decimal) The standard error for these two samples is ______ . (round to the nearest hundredth) Using a 99% confidence level, the lower limit is _____ and the upper limit is _____
The average worker at a local brake manufacturer produces 10 brakes per day (other statistical information was not known). An industrial psychologist was hired to increase worker productivity and a new assembly method was designed and tested in a sample of workers. Identify the appropriate test. Select one: a. independent samples t test b. z test c. single sample t test d. paired samples t test
A random sample of 50 plants was selected from a field containing one-year-old plants of a variety of guayule, a plant species yielding rubber. Of the 50, 25 were classified as Normal (N), 14 were classified as Off-type (O) and 11 as Aberrant (A). The data on the following page show the percentage rubber content from each plant. Normal Off-type Aberrant 6.34 6.40 5.70 4.84 5.01 6.20 4.25 8.90 6.93 6.38 6.68 7.10 6.42 7.26 7.29 6.30 7.01 6-84 7.12 6.83 7.31 7.25 6.86 6.68 5.82 4.46 7.70 5.90 5.24 5.58 6.36 7.10 6.81 7.32 6.48 5.88 5.24 5.51 7.00 6.42 6.20 6.04 5.58 4.72 7.42 7-27 6.43 6-10 6-01 7.90 (a) Test the null hypothesis that there is no difference in mean rubber content between the three types of plant. (b) If the means of the distributions of each type of plant are denoted by N, PO and PA respectively, test the following particular null hypotheses: (i) EN = RA; (ii) Po=(PN + PA).
A local authority is going to study the relationship between the size of household and the daily plastic usage consumed by them. The results of a sampling given below in Table 5 indicate some values of X (weight of plastic usage) and Y (the size of household). Table 5: Weight of plastic usage (X) and size of household (Y) X 0.27 1.41 2.19 | 2.83 2.19 1.81 0.85 3.05 Y 2 3 3 4 2 1 5 i) From the above sampling, find the value of correlation coefficient r. ii) Using the same sample data set above, conduct the hypothesis testing to know whether the variable X and Y are really correlates using 95% confidence level. iii) Find out if the decision in (ii) may change if you increase the confidence level to 99%.
Have you ever been frustrated because you could not get a container of some sort to release the last bit of its contents? An article reported on an investigation of this issue for various consumer products. Suppose five 6.0 oz tubes of toothpaste of a particular brand are randomly selected and squeezed until no more toothpaste will come out. Then each tube is cut open and the amount remaining is weighed, resulting in the following data: 0.53, 0.64, 0.41, 0.5, 0.35. Does it appear that the true average amount left is less than 10% of the advertised net contents?Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)t= P-value =
Phosphorous is a chemical that is found in many household cleaning products. Unfortunately, phosphorous also finds its way into surface water, where it can harm fish, plants, and other wildlife. Two methods of phosphorous reduction are being studied. At a random sample of 7 locations, both methods were used and the total phosphorous reduction (mg/L) was recorded. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. Things that are labelled i underneath a b c, etc are all part of that part.