The proportion of items in a population that possess a specific attribute is known to be 0.25 a. If a simple random sample of size n=100 is selected and the proportion of items in the sample that contain the attribute of interest is 0.30, what is the sampling error b. Referring to part a, what is the probability that a sample size of 100 would have a sample proportion of 0.30 or less if the population proportion is 0.25

The proportion of items in a population that possess a specific attribute is known to be 0.25 a. If a simple random sample of size n=100 is selected and the proportion of items in the sample that contain the attribute of interest is 0.30, what is the sampling error b. Referring to part a, what is the probability that a sample size of 100 would have a sample proportion of 0.30 or less if the population proportion is 0.25

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

a..089 b..086 c..088 d..087
Suppose the manager agrees to pay each employee a$50bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, at what mean oil-change fime would there be a10%chance of being at or below? This will be the goal established by the manager. There would be a10%chance of being at or below minutes.
Copy each table to the Word document and highlight theappropriate p-value. Under each table type the hypotheses, decision and summary, using the resultsfrom Excel, again you should not be doing the calculations by hand! A random sample of 16 students selected from the student body of a large university was selected. We wantto determine if the average age of all the students at the university is significantly different from 24. Assumethe distribution of the population of ages is normal. t-Test: Paired Two Sample for Means Variable 1 Variable 2 Mean 22.8125 0 Variance 10.5625 0 Observations 16 16 Pearson Correlation #DIV/0! Hypothesized Mean Difference 24 df 15 t Stat -1.461538462 P(T<=t) one-tail 0.082249947 t Critical one-tail 1.753050356 P(T<=t) two-tail 0.164499893 t Critical two-tail 2.131449546 I am struggling with the explanation. How would I write this out? Thanks!
11. Add 6 to each number in the dataset. Then, the 15th percentile is:a. 1b. 6c. 8d. 7Use the following information to answer questions 12-14: Suppose the probability that an adult gets thenews from Facebook is 0.60. A random sample of 14 adults were surveyed to determine X, the numberof adults who get their news from Facebook.12. Which of the following statements is false?a. The set of possible x-values is {1, 2, 3, . . ., 14}b. X ~ B (14, 0.60)c. P(X=5) = 0.0408d. µ = 8.413. Find the probability that at least 6 adults get their news from Facebook.a. 0.8499b. 6/14c. 0.6429d. 0.941714. X is of data of type:a. categorical nominalb. categorical ordinalc. numerical continuousd. numerical discrete15. Suppose that the ages of Brunswick CC students are normally distributed. A random sample of 6Brunswick CC students reported the ages of 20, 35, 18, 45, 27, and 20 years old. Find the errorbound that corresponds to the 90% confidence interval for the true population mean age ofBrunswick CC…
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 23 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 23 births. The value of the mean is µ = (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. (Round to one decimal place as needed.) Values of girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 19 girls a result that is significantly high? What does it…
Calculate the probability of a sample mean being at least as high as a specified value when σ is estimated?
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 41 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 41 births. The value of the mean isu = (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. girls or fewer are significantly low. (Round to one decimal place as needed.) Values of Values of girls or greater are significaly high. (Round to one decimal place as needed.) c. Is the result of 39 girls a result that is significantly high? What does it…
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 43 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 43 births. The value of the mean is = (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. (Round to one decimal place as needed.) Values of girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 41 girls a result that is significantly high? What does it…
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 44 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 44 births. The value of the mean is (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. (Round to one decimal place as needed.) Values of girls or greater are significantly high. (Round to one decimal place as needed.) c. Is the result of 35 girls a result that is significantly high? What does it…
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 30 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 30 births. The value of the mean is u = (Type an integer or a decimal. Do not round.).
According to Reader's Digest, 44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)= (to 2 decimals) (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,