If the F-statistic is close to one, what would be the decision of a hypothesis test?

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

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Q: .Is this a one-tailed or two-talled test The alternative hypothesis is The critical value is

A: Test is that whether there is a difference in proportion of voters in districts A and B who are in…

Q: What is meant by "the t-test is robust"?

A: The t-test is strong to non-ordinariness; its legitimacy is possibly raised doubt about whenever…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Sample size:The minimum sample size for a desired confidence level, α with a given margin of error,…

Q: What are the hypotheses for this test ? Use technology to determine the F statistic and p-value…

A: The following table is obtained:   Group 1 = Small  Sedan  Group 2 = Medium Sedan Group 3 = Large…

Q: A researcher is comparing the annual income of students who graduated from Belair College with…

A: If the population failed to follow any distribution, then non parametric test is used. The non…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

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Q: Identify the P-value for this hypothesis test.

A: Here Given , sample size =293 x=128 sample proportion = p^ = 128293 = 0.4369 alpha  = 0.05

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: GivenMargin of Error(E)=0.03Confidence Interval(c)=90%Let p^=0.5α=1-0.90=0.10α2=0.05zα2=z0.05=1.6449…

Q: What are the assumptions of the independent-samples t test?

A: The significant assumptions for the independent samples t-test would be as follows:

Q: Suppose that you want to conduct a left-tailed hypothesis test at the 5% significance level. How…

A: The level of significance is 5%. The test is a left-tailed test.

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: The formula for the sample size is as follows: Here, zα/2 is the critical value at 99% confidence…

Q: If other factors are held constant, explain how increasing the number of scores in each sample…

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Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: A political candidate has asked you to conduct a poll to determine what percentage of people support…

Q: How will you explain a confidence interval and a hypothesis test to a businessperson who does not…

A: A confidence interval tell us the probability that estimated population parameter lie with in the…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Determine the size of sample is needed. The size of sample is needed is obtained below as follows:…

Q: If the test is done at 95% confidence, the null hypothesis should

A: HER GIVEN, sample mean = 12.75 $  n= 100 standard deviation = $2 here population standard deviation…

Q: The level of significance is the probability of rejecting the null hypothesis 9) when the null…

A: The significance level is the probability of rejecting the null hypothesis when it is true.

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

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Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: It is given that the confidence level is 0.90 and margin of error (E) is 0.01.

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Solution:There is no estimates available, hence the sample proportion is assumed to be 0.50.The…

Q: If a hypothesis is not rejected at the 5% level of significance, it will also not be rejected at the…

A: Concept of p-value: The p-value in hypothesis testing is the probability of obtaining a test…

Q: develop a research question that can be addressed with the independent (not a dependent…

A: The null and alternative hypothesis is denoted by Ho and Ha respectively.

Q: A statistical test of hypothesis produces the P-value P = 0.112.  Will the null hypothesis be…

A: Decision rule : Reject H0 if P-value  <  α

Q: Identify situations in which it is important to estimate power in relation with null hypothesis?

A: A test of hypothesis consists of 2 hypotheses: the null, H0, and the alternative, H1. Power: The…

Q: State two reasons why including the P-value is prudent when you are reporting the results of a…

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Q: Will the null hypothesis be rejected at a 5% level of significance?

A: Here sample proportion p⏜ = 0.63 Sample size n = 800 Now testing given hypothesis

Q: If a test statistic does not lie in the critical region, we should the null hypothesis.

A: Rejection Rule: IF the test statistic value lies within the critical region, then reject the null…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Here, there is no information about the population parameter. Hence, use the conservative estimate…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

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Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Let P be the population proportion (might be a hypothesized value), p be the sample proportion and α…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Given Information:  Margin of error (e) = 10%  Confidence level = 90%  The z score at 90% confidence…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Obtain the sample size of a no preliminary estimate for p. The formula of sample size is, Here,…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Solution: From the given information, confidence level is 0.90 and E=0.06.

Q: The effectiveness of a new headache medicine is tested by measuring the amount of time before the…

A: Given data: The effectiveness of a new headache medicine is tested by measuring the amount of time…

Q: In order to test the hypothesis, you need to choose a critical -Score.

A: The choice of the appropriate distribution in a statistical test is subject to different factors.

Q: Explain how the P-value is obtained for a one-mean z-test in case the hypothesis test is a. left…

A: p-value:The probability value associated with a statistical test is defined as the p-value. In other…

Q: Choosing the alpha level for a hypothesis test allows researchers to control the probability of…

A: I am sorry for your Inconvenience. Please go through the following explanation. In hypothesis tests,…

Q: A shopkeeper wonders if number of their female and male customers are equal or not. They count the…

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Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Given:Margin of error (E) = 0.09Confidence level = 90%Since, the proportion of people that support…

Q: With the null hypothesis that a suspect is innocent, an investigation concluded that the suspect…

A: The probability of determining a test statistic value at least as extreme as the observed value…

Q: Suppose 450 subjects are treated with a drug that is used to treat pain and 140 of them developed…

A: Given Information: Sample size n=450 subjects Out of which x=140 developed nausea. Significance…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Find z-critical value:…

Q: How can a confidence interval be used to test a hypothesis?

A: How can a confidence interval be used to test a hypothesis?

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: The formula for the sample size is as follows:

Q: The mean age of bus drivers in chicago is 56.7 years. If a hypothesis test is performed, how should…

A: Denote μ as the population mean age of bus drivers.

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: As there is no any estimates available, the sample proportion is assumed to be 0.50, that is,…

Q: What is the value of the sample test statistic for a one-sided hypothesis test conducted using a 1%…

A: Given n1=50 n2=40 x¯1=4.35x¯2=5.84σ1=1.20σ2=1.36α=0.01

Q: At the 0.01 significance level, we ask if there is a difference in the mean number of times men and…

A: For men, sample sise n1 = 25, sample mean = 23, and population SD = 5 For women, sample size n2 =…

Q: a.    If a null hypothesis is rejected with a significance level of 0.05, is it also rejected with a…

A: To be reject null hypothesis,  p value must be smaller than alpha.

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.