### Goodness of Fit Chi-Squared Hypothesis TestYou are conducting a Goodness of Fit Chi-Squared hypothesis test (\(\alpha = 0.05\)) for the claim that all five categories are equally likely to be selected. Complete the table.#### Categories Table| Category | Observed Frequency | Expected Frequency | \((O-E)^2/E\) ||----------|--------------------|---------------------|---------------|| A | 5 | | || B | 7 | | || C | 24 | | || D | 23 | | || E | 17 | | |**Instructions:**- **Round Expected values** accurate to exactly 2 decimal places. Retain unrounded numbers for future calculations.- **Round the \((O-E)^2/E\) values** to 3 decimals.#### Questions1. What is the chi-square test-statistic for this data? (Round the answer to 3 decimal places, and remember to use the unrounded Pearson residuals in your calculations.) \(\chi^2 = \) [ ]2. What are the degrees of freedom for this test? \(d.f. = 4\) ✔️3. What is the p-value for this sample? (Round answer to 3 decimal places.) p-value = [ ]This setup involves calculating the expected frequency for each category, determining the chi-square statistic, identifying degrees of freedom, and finding the p-value. The degrees of freedom here are calculated as the number of categories (5) minus 1.

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Answered: You are conducting a Goodness of Fit…

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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You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of T = 74 hours. The population standard deviation is known to be 5.8 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 90% level of confidence. How many more bacteria should you sample to achieve a 0.5 hour margin of error? n bacteria %3D
You are conducting a Goodness of Fit Chi-Squared hypothesis test (a = 0.05) for the claim that all categories are equally likely to be selected. Complete the table. Category ((O-E)^2/E) A B с D Observed Expected Frequency Frequency 11 24 8 16 E 12 Round Expected values accurate to exactly 2 decimal places. Retain unrounded numbers for future calculations. Round the ((O-E)^2/E) values to 3 decimals. What is the chi-square test-statistic for this data? (Round answer to 3 decimal places, and remember to use the unrounded Pearson residuals in your calculations.) X What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Round answer to 3 decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely…
O of 5 A random sample of 77 eighth grade students' scores on a national mathematics assessment test has a mean score of 273. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 35. At a = 0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). %3D (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. O A. Ho: μ2 270 (claim) Ha: В. Но: С. Но: u = 270 Ha: H = 270 (claim) Ha: H> 270 μ> 270 (claim) H 270 (claim) O E. Ho: µS 270 (claim) Hạ: H> 270 µ<270 Ha: μ2 270 (claim)
You are conducting a goodness of fit hypothesis test (� = 0.01) for the claim that there is a difference in sales for 5 shelves at a grocery store. The number of items sold per shelf are observed and recorded over a week, the results are in the table below. Round answers to 4 decimal places. Retain and use unrounded numbers for future calculations. a. Complete the rest of the table. Shelf Label Observed Frequency Expected Frequency (�-�)2� A 6 B 25 C 25 D 15 E 12 b. Calculate the chi-square test-statistic for this data. �2 = What are the degrees of freedom for this test? d.f. = Compute the p-value for this sample. p-value = The p-value is... less than (or equal to) � greater than � c. This test statistic leads to a decision to... reject the null accept the null fail to reject the null accept the alternative As such, the final conclusion is that... There is not sufficient evidence to support the claim that there is a…
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Increases decrease or remain the same for the first 4 blanks. not significant or significant for the last blank.
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