Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.KA person randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values.Use a 0.05 significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in adisproportionately high frequency for the first category, but do the results support that expectation?C₂50-7426Cents portion of check25-4924NumberClick here to view the chi-square distribution table0-2430The test statistic is(Round to three decimal places as needed.)The critical value is(Round to three decimal places as needed.)State the conclusion.75-9920Ho. Theresufficient evidence to warrant rejection of the claim that the four categories are equally likely. The resultsexpectation that the frequency for the first category is disproportionately high.to support the KConduct the hyA person randoUse a 0.05 signdisproportionatCents portionNumberClick here to viThe test statisti(Round to threeThe critical valu(Round to threeState the concl▼expectation thaChi-square distribution tableArea to the Right of the Critical Value0.950.0040.1030.3520.90 0.10 0.050.016 2.706 3.8410.211 4.605 5.9910.584 6.2510.711 1.0641.145 1.6101.635 2.2042.167 2.8332.7333.4903.325 4.1684.8653.940750151168431379080004740.0250.015.0246.6359.2107.3787.815 9.348 11.34513.27715.0867.779 9.488 11.1439.236 11.071 12.83310.645 12.592 14.449 16.81212.017 14.067 16.013 18.47513.362 15.507 17.535 20.09014.684 16.919 19.02321.66618.307 20.483 23.20915.987PrintDone0.0057.87910.59712.83814.86016.75018.54820.27821.95523.58925 188-Xnts portions categorized according to the indicated values.checks for whole dollar amounts would result in ay likely. The results4to support the

It is needed to test the claim that whether the four categories are equally likely.

Answered: Conduct the hypothesis test and provide…

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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Suppose we wish to study the average income of Cactus Club customers, so we plan to conduct a research project with a 95% confidence level. We need our range of error (E) to be no greater than $500. Based on our past experience, we estimate the sample standard deviation to be $5,000. What sample size do you need in order to conduct the research? Select one: a. 372 b. 784 c. 824 d. 385 e. 196
A survey was conducted that asked 1013 people how many books they had read in the past year. Results indicated that x=10.3 books and s=16.6books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval. Construct a 90% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) A. There is a 90% probability that the true mean number of books read is between ___ and ____ B. There is 90% confidence that the population mean number of books read is between ___ and ____. C. If repeated samples are taken, 90% of them will have a sample mean between ___ and ___.
Use the sample data and confidence level given below to complete parts (a) through (d). research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 906 and x-581 who said "yes. " Use a 90% confidence level
Assume that a sample is being used to estimate a population mean . If n = 16, = 38, and s = 3, find the margin of error at a 95% confidence level. Give your answer to two decimal places.
We randomly sample 218 individuals and find that 97 have a college degree. a.)Construct a 95% confidence interval. b.) Describe our interpretation of the confidence level.
The U.S. National Center for Health Statistics complies birth statistics and publishes the results in vital statistics of the United States. The Center has historically believed that the mean of all newborns in the U.S. has been no less than 6.95 pounds. A sample of babies is selected so that the center can revise its belief. The following birth weights, in pounds are recorded: 7.4, 6.0, 8.6, 4.5, 2.0, 7.9, 4.0, 2.6, 5.9, 7.3, 7.3, 7.0, 6.3, 8.1, 7.1, 7.3, 6.6, 5.2, 9.8, 8.0, 10.9, 6.5, 3.8, 5.0, 8.0 a). At 5% level of significance, do these data provide sufficient evidence to refute the Center’s belief? Your conclusion must be in terms of the P-Value as well as setting up a Rejection Region. You must show all necessary work. b). Which statistical distribution should be applied in this situation and why? Explain carefully.
Thirty randomly selected students were asked how many self- help books they have read in the last three years. Their responses are in the following frequency table.
Several studies showed that after eating a low-fat cereal for two meals a day, subjects had lost some weight.A cereal companyfinanced this research. Identify what is wrong. Choose the correct answer below. A. Since the research is composed of voluntary response samples, there may be key data points missing. B. The data used in the studies is not reliable because it was not measured by the administrator. C. It is questionable that the sponsor is a cereal company because this sponsor can be greatly affected by the conclusion. D. It is not possible to take accurate measurements.
Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1005 and x=534 who said "yes." Use a 99% confidence level. LOADING... Click the icon to view a table of z scores. Question content area bottom Part 1 a) Find the best point estimate of the population proportion p. enter your response here (Round to three decimal places as needed.) Part 2 b) Identify the value of the margin of error E. E=enter your response here (Round to three decimal places as needed.) Part 3 c) Construct the confidence interval. enter your response here<p<enter your response here (Round to three decimal places as needed.) Part 4 d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has 99% confidence that the interval from the lower bound to the upper bound…
In a simple random sample of 1200 young people, 86% had earned a high school diploma. What is the standard error for this estimate of the percentage of all young people who earned a high school diploma?
A researcher wanted to examine the hypothesis that the proportion of obese individuals among those without diabetes exceeds 35%. To investigate this, she gathered a random sample of 1000 diabetes-free individuals and determined that 360 of them are obese. i. State the hypothesis statements. ii. Perform the hypothesis test. What can she conclude at a significance level of a = 0.05?
A statistician changes her level of significance from .001 to .05. What impact will this change have on her risk of making a Type I and Type II error? Is the change in the level of significance a good decision? Why or why not?

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