**Chi-Squared Goodness of Fit Test:**You are conducting a Goodness of Fit Chi-Squared hypothesis test (\(\alpha = 0.05\)) for the claim that all 5 categories are equally likely to be selected. Complete the table.| Category | Observed Frequency | Expected Frequency | ((O-E)^2/E) ||----------|--------------------|--------------------|-------------|| A | 20 | | || B | 7 | | || C | 23 | | || D | 19 | | || E | 10 | | |- **Instructions:** - Round Expected values to exactly 2 decimal places. Retain unrounded numbers for future calculations. - Round the ((O-E)^2/E) values to 3 decimal places.- **Calculations Needed:** - 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.) - \(\chi^2 = \) - 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 = - **Options for Conclusion:** - The p-value is: - ○ less than (or equal to) \(\alpha\) - ○ greater than \(\alpha\) - This test statistic leads to a decision to: - ○ reject the null - ○ fail to reject the null- **Final Conclusion:** - ○ There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. - ○ There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.

Introduction: Denote pA, pB, pC, pD, and pE as the true probabilities of selecting categories A, B,…

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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Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
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This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
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An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 225 fathers from Littleton, yielded 97 who did not help with child care. Find the p-value for a test of the researcher's claim to three decimal places Question content area bottom Part 1 A. 0.053 B. 0.001 C. 0.002 D. 0.004
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