What is the P-value?P-value =(Round to three decimal places as needed.)Should the null hypothesis be rejected?O A. Yes, reject Ho. There is not sufficient evidence at the α = 0.01 level of significance to conclude that X and Y are dependent because the P-value > α.B. No, do not reject Ho. There is sufficient evidence at the x = 0.01 level of significance to conclude that X and Y are dependent because the P-value < x.C. No, do not reject Ho. There is not sufficient evidence at the α = 0.01 level of significance to conclude that X and Y are dependent because the P-value > α.D. Yes, reject Ho. There is not sufficient evidence at the α = 0.01 level of significance to conclude that X and Y are dependent because the P-value < α. The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categoriesand variable Y has two categories. Use the table to complete parts (a) and (b) below.(a) Compute the value of the chi-square test statistic.x² ==(Round to three decimal places as needed.)(b) Test the hypothesis that X and Y are independent at the x = 0.01 level of significance.O A. Ho: The Y category and X category have equal proportions.H₁: The proportions are not equal.B. Ho: The Y category and X category are independent.H₁: The Y category and X category are dependent.O C. Ho: The Y category and X category are dependent.H₁: Thecategory and X category are independent.D. Ho: x= Ex and μy = EyH₁: μx #Ex or μy # EyY₁Y₂X₁34X240|(36.20)|(41.77)|(48.03)20|(15.80)|(18.23)|(20.97)X3521817

X1 X2 X3 Y1 34 (36.20) 40 (41.77) 52 (48.03) Y2 18 (15.80) 20 (18.23) 17 (20.97)

Answered: The table to the right contains…

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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The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. (a) Compute the value of the chi-square test statistic. x = (Round to three decimal places as needed.) Y₁ Y₂ X1 X₂ X3 32 40 50 (33.77) (42.05) (46.18) 21 17 17 (15.23) (18.95)(20.82)
Managers of an outdoor coffee stand in Coast City are examining the relationship between (hot) coffee sales and daily temperature, hoping to be able to predict a day's total coffee sales from the maximum temperature that day. The bivariate data values for the coffee sales (denoted by y, in dollars) and the maximum temperature (denoted by x, in degrees Fahrenheit) for each of fifteen randomly selected days during the past year are given below. These data are plotted in the scatter plot in Figure 1. Also given is the product of the temperature and the coffee sales for each of the fifteen days. (These products, written in the column labelled "xy", may aid in calculations.) Temperature, X 10 Coffee sales, y (in dollars) (in degrees Fahrenheit) 37.2 51.3 59.7 53.7 63.1 44.5 47.5 75.9 82.2 40.0 74.8 70.6 69.0 48.3 74.7 Send data to calculator V 2000.4 2205.9 1944.8 1579.3 1846.3 1797.3 2016.5 1563.3 1556.5 2249.4 1653.9 1923.0 1747.9 2154.6 1979.7 74,414.88 113,162.67 116,104.56 84,808.41…
(i) Determine whether the hypothesis test is one tailed or two tailed. (ii) Find the P-value. Round the answer to four decimal places. (iii) Make the decision and summarize the results.
econometrics
You wish to test the following claim (H) at a significance level of a = 0.001. Ho: P₁ ≤ P2 Ha: P₁ P2 You obtain 194 successes in a sample of size n₁ in a sample of size n₂ = 365 from the second population. - test statistic = p-value = 240 from the first population. You obtain 273 successes [three decimal accuracy] [three decimal accuracy]
You wish to test the following claim (Ha) at a significance level of a = 0.02. For the context of this problem, 44 = PostTest - PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your 4i and u2 are so that the differences are computed correctly.) H.:Hd = 0 0 + Prl : "H You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 44.8 52.3 47.6 44.1 56.6 51.2 50.4 54.8 55.4 58.9 38 44.1 32.1 36 41.7 52.6 36.9 45.9 50.8 55 52.5 65.8 35.7 38.5 39.3 30.8 36.4 33.4 53.7 60 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is... O less than (or…
You wish to test the following claim (Ha) at a significance level of a = 0.02. For the context of this problem, d PostTest – PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your x1 and x2 are so that the differences are computed correctly.) H.: Hd Ha: Hd + 0 %3| You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 50.8 42.8 57.6 46.5 59.5 52.9 62.4 49.2 57.5 55.8 52.3 54.3 62.2 49.7 58.5 56.7 61.1 60.3 60.8 54.5 65.1 64 62.9 59 55.9 49.3 60.9 51.1 64.4 62.9 50.8 41.3 59 56.4 56.1 49 66 54 60.1 52.9 62.1 59.9 55.6 46.8 56.5 53 60.3 55 55 48.4 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.)
Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total # of apples purchased 1023 1023 1066 1151 4263 (a) In performing this statistical test, state the hypotheses. H0: the observed number of apples people purchased is the same for each season vs. HA: the observed number of apples people purchased is not the same for each season H0: the distribution of apples people purchased is not the same for each season vs. HA: the distribution of apples people purchased is the same for each season H0: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season H0: the total number of apples people purchased is not the same for each season vs. HA:…
Answer the following to summarize the test of the hypothesis that there is no dependence between the two variables color vision of participant and trial outcome. For your test, use the 0.05 level of significance. a. Find the value of the test statistic. (Round to two or more decimal places.) b. Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) c. Can we reject the hypothesis that there is no dependence between the variables color vision of participant and trial outcome? Use the 0.05 level of significance.
You wish to test the following claim (H) at a significance level of a = 0.001. H₂: P₁ = P2 Ha: P₁ P2 You obtain 61.9% successes in a sample of size ₁ = 423 from the first population. You obtain 53.1% successes in a sample of size n₂ = 531 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value= The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept 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 the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. The sample data…
You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho: P1 = P2 Ha: P₁ P2 You obtain 690 successes in a sample of size ₁ = 755 from the first population. You obtain 529 successes in a sample of size n2 = 603 from the second population. What is the critical value for this test? (Round to three decimal places.) Critical value = What is the test statistic for this sample? (Round to three decimal places.) Test statistic = The test statistic is... in the critical region not in the critical region 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 The sample data support the claim that the first population proportion is greater than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.

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