Problem #2: Suppose it is known that p = 25% of a certain kind of scratch tickets are winners. In a random sample of 98 suchtickets, 35 are found to be winners.Problem #2(a):Problem #2(b):(a) What is the sample proportion of winners, p?(b) What is the standard error of ?answer correct to 4 decimalsanswer correct to 4 decimals

We have given that, Population proportion (p) = 25% = 0.25 , favourable cases (x) = 35 and sample…

Answered: Problem #2: Suppose it is known that p…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at the Wind Mountain archaeological site. At one excavation, a sample of 160potsherds indicated that 70 were of the three-circle, red-on-white pattern. How many ceramic potsherds must be found and identified if we are to be 95% confident that the sample proportion p̂ of such potsherds is within 5.0% of the population proportion of three-circle, red-on-white patterns found at this excavation site? (Round your answer up to the nearest whole number.)
Question: A survey organization takes a simple random sample of 625 households from a city of 80,000 households. On the average, there are 2.3 people per sampled household, and the SD is 1.75. Circle TRUE or FALSE for each statement, and include a sentence to explain your answer. (Both must be correct to receive full credit.) Show how you get the 95% confidence. (a) TRUE or FALSE: If we use the sample average to estimate the population average, the estimate is likely to be off by about 0.07 people. Explanation: (b) TRUE or FALSE: A 95%-confidence interval for the average household size in the sample is 2.16 people to 2.44 people. Explanation: (c) TRUE or FALSE: 95% of the households in the city contain between 2.16 and 2.44 people. Explanation:
Problem: A survey was conducted to find the number of cars each household owns in a particular subdivision. The results of the survey are shown below. 3 4 0.25 0.35 0.30 | 0.10 Number of Cars (x) 1 2 Probability Pr(x) Question: What is the value of the Mean? O 2.30 O 2.25 O 2 O 2.2
A newspaper conducted a statewide survey concerning a proposal to raise taxes in order to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 400 registered voters and found that 160 would vote to raise taxes. Let p represent the proportion of registered voters in the state that would vote to raise taxes. (Round your answers to 4 decimal places, if needed.) (a) The standard error for the sample proportion is (b) The margin of error for an 88% confidence interval for p is Check
Problem 3. (5166) A study was conducted to determine whether the age of customers is related to the type of movie he or she watches. A sample is shown in the following table. (a) (b) Age 12-20 21-40 41 and over Documentary 33 45 43 Comedy Mystery 29 28 46 69 60 57 Given that the total sample size n = 410 is fixed, what is the distribution of the nine categories? What are the mean value and variance of each cell frequency? Run a chi-square test of independence and draw your conclusion. Use a = 0.05. Note: A small chi-square table may be found on page 6. Run a chi-square test of "Comedy" versus "Mystery". Use a = 0.05.
8.
In a newspaper poll concerning violence on television, 600 people were asked, "What is your opinion of the amount of violence on prime-time television−is there too much violence on television?" Their responses are indicated in the figure below. Yes (Y) No (N) Don't Know (D) Total Men (M) 162 85 23 270 Women (W) 256 55 19 330 Total 418 140 42 600 Use the data in the table above to find the given probabilities. (Round your answers to four decimal places.) (a)p(N)(b) p(W) (c) p(N | W) (d) p(W | N)(e) p(N ∩ W) What does p(N ∩ W) represent? (f) p(W ∩ N)What does p(W ∩ N) represent?
Question: Recent surveys have shown a decline in the percentage of U.S. households with cable TV. In one city, a simple random sample of 468 households had 117 households reporting they had cable TV, and 351 households reporting they did not. (a) Show the “plug-in” box to represent our best guess for the relative frequency of people with and without cable. (Let 1 correspond to with cable and 0 without). (b) The percentage of households in the city with cable TV is estimated to be ___________%, and this estimate is likely to be off by about ___________% or so.(c) A 90%-confidence interval for the percentage of households in the city with cable TV goes from ___________% to ___________%.
A newspaper conducted a statewide survey concerning a proposal to raise taxes in order to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 456 would vote to raise taxes. Let p represent the proportion of registered voters in the state that would vote to raise taxes. (Round your answers to 4 decimal places, if needed.) (a) The standard error for the sample proportion is (b) The margin of error for a 97% confidence interval for p is Check
Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at the Wind Mountain archaeological site. At one excavation, a sample of 166 potsherds indicated that 80 were of the three-circle, red-on-white pattern. How many ceramic potsherds must be found and identified if we are to be 95% confident that the sample proportion p̂ of such potsherds is within 6.5% of the population proportion of three-circle, red-on-white patterns found at this excavation site? (Round your answer up to the nearest whole number.) potsherds
(b) Obtain this sample using the portion of the random number table provided in the problem statement. Start with the first column of the first row and work down each column. Show the work with the answer

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