Before an election, a scientific poll conducted amongst voters found that Candidate A has 53% and Candidate B 47%. The poll has a margin of error of ±5%. Can you conclude Candidate A will be the winner given the poll result? What are the two extreme possibilities?
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A: Topic = Algebra
Before an election, a scientific poll conducted amongst voters found that Candidate A has 53% and Candidate B 47%. The poll has a margin of error of ±5%.
Can you conclude Candidate A will be the winner given the poll result? What are the two extreme possibilities?
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- A sample with M=8 has EX=56. How many scores are in the sample?For a particular population, a sample of n = 4 scores has a standard error of 6. For the same population, a sample of n = 16 scores would have a standard error of _____Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?
- A foreign car manufacturer advertises that its newest model, the Bullet, rarely stops at gas stations. In fact, they claimed that its EPA rating for highway driving is at least 32.5 mpg. However, the results of a recent independent study determined the mpg for 50 identical models of the Bullet, with these results: n = 50, x= 30.4 mpg, and s = 5.3 mpg.This report failed to offer any conclusion, and you have been asked to interpret these results by someone who has always felt that the 32.5 figure is too high. What would be your conclusion using a significance level of 5%?Z = 1.645A sample of n = 4 scores, has Σ X = 4, and Σ X 2 = 32. What is the value of SS for this sample?A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 29% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. "Recall that the claim is the percentage of adults in the country would travel into space on a commercial flight if they could afford it. Let a success be an adult in the country who would travel into space on a commercial flight if they could afford it. Translate the claim made about the population parameter from a verbal statement to a mathematical statement." (b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.
- A medical researcher says that less than 74%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that country, 71% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 andHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Fill the percentage on the correct answer A. % of adults in the country think that healthy children should be required to be vaccinated. B. Less than %of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. More than…The closer the numerator of a t-test gets to zero, the more likely it is that there is no statistically significant difference between the two means we are testing. True FalseA sample of patients is tested to determine if they have any hospital borne infections. How large of a sample must be collected to be accurate within 0.01 at the 1% level of significance, if the hospital estimates the true proportion of patients infected is 0.045? p̂ = q̂ = E = Z= n=
- A polling organization has been hired to conduct a survey to determine the proportion of people who are likely to support an upcoming ballot initiative. To help determine the size of the sample required for the main poll, a preliminary poll of 20 people is taken that yields the results below. (Yes indicates that the person will support the initiative, No indicates that they won't.) YesYesNoNoNoYesYesYesYesYesYesNoNoYesYesNoYesYesNoNoYesNoYesNoYesYesYesYesYesYesNoYesYesYesNoNoYesNoNoNo Based on the results of the peliminary poll, how large a sample is required for the main poll, assuming that the main poll should have a margin of error of 3% and a confidence level of 97.8%. Sample Size =A biologist wants to test the null hypothesis that the mean wingspan of a certain kind of insect is 12.3 mm against the alternative that it is not 12.3 mm. If she takes a random sample and decides to accept the null hypothesis if and only if the mean of the sample falls between 12.0 mm and 12.6 mm, what decision will she make if she gets mm, and will it be in error if mu =12.5 mm mu =12.3 mm In each instance, explain your answer.A random sample of N = 35 individuals is selected from a population with a mean of 60, anda treatment is administered to each individual in the sample. After treatment, the samplemean is found to be X = 60:2 with SS = 296. Based on the sample data, can we concludethat the treatment results in a meaningful score change?