In 1992, Canadians voted in a referendum on a new constitution. In the province of Quebec, 42.4% of those who voted were in favor of the new constitution. A random sample of 100 voters from the province was taken.a. What is the mean of the distribution of the sample proportion in favor of a new constitution?b. What is the variance of the sample proportion?c. What is the standard error of the sample proportion?d. What is the probability that the sample proportion is more than 0.5?

In 1992, Canadians voted in a referendum on a new constitution. In the province of Quebec, 42.4% of those who voted were in favor of the new constitution. A random sample of 100 voters from the province was taken.a. What is the mean of the distribution of the sample proportion in favor of a new constitution?b. What is the variance of the sample proportion?c. What is the standard error of the sample proportion?d. What is the probability that the sample proportion is more than 0.5?

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

5. A company has an inventory with a book value of $4,583,231, which includes 116 product lines and a total of 326,432 units. How many items compose this population for purposes of applying a probability-proportional-to-size sampling plan? Explain.
Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 159 said they decided not to go to college because they could not afford school. A. Calculate the test statistic and the p-value. B. State the conclusion in context.
Which of the following are sources of sampling error and which are sources of nonsampling error? The subject cannot be contacted in five calls. The telephone directory is used as a sampling frame. Data are gathered by asking people to go to a website and answer questions online. A typing error is made in recording the data. The subject lies about past illegal drug use. Interviewers choose people on the street to interview.
study the effectiveness of a recent advertising campaign for a new menu item, a restaurant asks every fifth customer about their awareness of the new item. What type of sample is this? A. A judgment sample. B. A cluster sample. C. A convenience sample. D. A simple random sample. E. A systematic sample.
Previously, an organization reported that teenagers spend 12.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is lower. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 10.4, 10.4, 17.3, 11.2, 10, 15.2, 9.5, 5.8, 12.5, 11.8, 7.3, 10.6, 11.5, 16.2, 16.5, 14.3, 12.3, 9.9, 13.7, 8.6, 11.3, 13, 16.5 Perform a hypothesis test using a 10% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 12.5 12.5 (So we will be performing a left-tailed Vv test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are t-distributed with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. = P(tv sv p-value = Step 4: Make a Conclusion About the nulI…
To conduct a door-to-door survey about crime victimization, a city official randomly selects 5 city blocks and surveys all the residents of these 5 city blocks. What type of sample is this?A. Simple Random SampleB. Systematic Random SampleC. Cluster SampleD. Multistage SampleE. Stratified Random Sample
ENUMERATION. Write your answer on a separate sheet of paper. 1. Considered to be necessary in sampling distribution.
Could an author use a non-random/non-probability sampling to describe a population of 50,000? why or why not?
It is generally believed that nearsightedness affectsabout 12% of all children. A local elementary school registered 133 incoming kindergarteners. Part A: Describe the sampling distribution model for the sample proportion by identifying its shape and telling its mean and standard deviation.Part B: What is the probability that more than 15% of the incoming kindergarteners are nearsighted?
d. Assuming a sample size of 76, what is the probability that the sampling error is within $1000. (In other words, the sample mean is within $1000 of the true mean.)
A manufacturing plant knows that in reality 80% of products made are perfect. An inspector selects four products at random. What is the mean number of perfect products in any sample of 4? It can be assumed that each product is independent of the others.
Samuel F.B. Morse (1791-1872), the creator of the Morse Code, claimed that 12 % of all letters used in English language were "e"s. Suppose random samples of 196 letters are selected from a book. Use this information to answer question below.