A round spinner is divided into five sections, where the sections do not have the same size. Using the measure of the interior angles, the probability of the spinner landing on any individual space on a spin is calculated and given in the table. Section 1 3 4 Probability 0.40 0.20 0.20 0.15 0.05 A statistics student is asked to test the integrity of the spinner using a chi-square goodness-of-fit test. What is the minimum number of times the spinner should be spun to conduct this test?
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- A round spinner is divided into five sections, where the sections do not have the same size. Using the measure of the interior angles, the probability of the spinner landing on any individual space on a spin is calculated and given in the table. Section 1 2 3 4 5 Probability 0.40 0.20 0.20 0.15 0.05 A statistics student is asked to test the integrity of the spinner using a chi-square goodness-of-fit test. What is the minimum number of times the spinner should be spun to conduct this test? A. 5 B. 25 C. 50 D. 100 E. 500what is the conventional minimum power a study should have? For a study with this minimum power, what is tthe probablility that you will fail to reject the null hypothesis if the research hypothesis is true?Assume that out of a population of 1871 people, 30% of the population hasa particular genetic characteristic.a. Find the most likely number of the 1871 people to have thegenetic characteristic. Don’t forget to show your work.b.Let ? represent the number of people out of the 1871 whohave the genetic characteristic. Find the standard deviation for theprobability distribution of ?. Don’t forget to show your work.c. Use the range rule of thumb to find the minimum andmaximum usual value. Don’t forget to show your work. Round youranswers to the nearest whole numbers
- A. Clearly state an appropriate null hypothesis and an alternative hypothesis. B. What proportion of deaths occurred while the windows were set at a vertical orientation?In a certain survey, 507 people chose to respond to this question: "Should passwords be replaced with biometric security (fingerprints, etc)?" Among the respondents, 55% said "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security. Complete parts (a) through (d) below. a. Are any of the three requirements violated? Can a test about a population proportion using the normal approximation method be used? A. The conditions npgreater than or equals5 and nqgreater than or equals5 are not satisfied, so a test about a population proportion using the normal approximation method cannot be used. B. All of the conditions for testing a claim about a population proportion using the normal approximation method are satisfied, so the method can be used. C. The sample observations are not a random sample, so a test about a population proportion using the normal approximating method cannot be used. D. One of…When performing a Mann-Whitney Utest, one should always use the higher value of the calculated U values to compare to the critical U value while making the decision rule. True False
- find the minimum for the upper quartileDr. Castillejo feels that the maximum pulse rate during the run is a good predictor in explaining the oxygen consumption in the blood stream. He asserts that if the pulse rate at the end of the run increased, then the oxygen consumption will also increase, hence his/her heart is functioning well. Based on the R commanderoutput below, check if the data on oxygen consumption and maximum pulse rate (from 152 bpm to 196bpm) support Dr. Castillejo’s assertion.2.A politician is interested in the proportion of voters in his district that think he is doing a good job.Define the following in terms of the study. Give examples where appropriate.PopulationSampleParameterStatisticVariableData
- Chapter 6, Section 1-CI, Exercise 028 Standard Error from a Formula and a Bootstrap DistributionUse StatKey or other technology to generate a bootstrap distribution of sample proportions and find the standard error for that distribution. Compare the result to the standard error given by the Central Limit Theorem, using the sample proportion as an estimate of the population proportion p.Proportion of peanuts in mixed nuts, with n=93 and p^=0.60.Click here to access StatKey.Round your answer for the bootstrap SE to two decimal places, and your answer for the formula SE to three decimal places.Bootstrap SE= .Formula SE= .The shape of the mean-variance frontier that results from the combination of a riskless and arisky asset is…..:a. Is U-shaped, tilted 90 degrees clockwise.b. Is a straight line passing from the mean-variance points of the two assets.c. Is a hyperbola.d. Consists of two straight lines, each connecting one of the two assets to a risk-freeportfolioA local chess club claims that the length of time to play a game has a mean of 43 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is ▼ equal to less than or equal to not equal to greater than or equal to greater than less than 43 minutes, but you ▼ reject fail to reject the null hypothesis, ▼ Upper H 0 : mu greater than or equals 43H0: μ≥43 Upper H 0 : mu not equals 43H0: μ≠43 Upper H 0 : mu equals 43H0: μ=43 Upper H 0 : mu less than or equals 43H0: μ≤43 Upper H 0 : mu greater than 43H0: μ>43 Upper H 0 : mu less than 43H0: μ<43 . A type II error will occur if the actual mean of the length of time to play a game is ▼ greater than less than or equal to less than greater than or equal to equal to not equal to 43 minutes, but you ▼ fail to reject reject the null hypothesis, ▼ Upper H 0…