A nationwide job recruiting firm wants to compare the annual incomes forchildcare workers in New York and Rhode Island. Due to recent trends inthe childcare industry, the firm suspects that the that the mean annualincome of childcare workers in the state of New York is greater than themean annual income of childcare workers in Rhode Island. To see if this istrue, the firm selected a random sample of 10 childcare workers from NewYork and an independent random sample of 10 childcare workers fromRhode Island and asked them to report their mean annual income. The dataobtained were as follows.Annual income in dollarsNew York 52865, 45781, 48933, 44123, 52450, 54008, 46219, 44862, 54254, 39329Rhode Island 52347, 47038, 49732, 47329, 34151, 51204, 39798, 47921, 44854, 39128Send data to calculatorSend data to ExcelThe population standard deviations for the annual incomes of childcareworkers in New York and in Rhode Island are estimated as 6400 and 6600,respectively. It is also known that both populations are approximatelynormally distributed. At the 0.10 level of significance, is there sufficientevidence to support the claim that the mean annual income, ₁, of childcareworkers in New York is greater than the mean annual income, ₂,ofchildcare workers in Rhode Island? Perform a one-tailed test. Thencomplete the parts below.Carry your intermediate computations to at least three decimal places. (Ifnecessary, consult a list of formulas.)(a) State the null hypothesis H and the alternative hypothesis H₁.HOH₁ : 0(b) Determine the type of test statistic to use.Chi-SquareDegrees of freedom:(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the p-value. (Round to three or more decimal places.)0(e) Can we support the claim that the mean annual income of childcare workersin New York is greater than the mean annual income of childcare workers inRhode Island?OYes NoHXI00OXS0=0 OSO00OOOE

Given, n1=10, n2=10, σ1=6400 and σ2=6600 Level of significance=0.10

Answered: (a) State the null hypothesis H and the…

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 conducting a multinomial hypothesis test (α = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category ObservedFrequency ExpectedFrequency A 10 B 16 C 8 D 20 E 14 What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places.)χ2=What are the degrees of freedom for this test? d.f.= 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) αα greater than αα 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 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. The sample data…
Hand Computation of: Let’s assume there is an adequate basis for a two-tailed test. What is the non-directional alternative hypothesis? What is the null hypothesis? What is the conclusion? Use alpha of 0.05 2 tail. Let’s assume there is an adequate basis for a two-tailed test. What is the non-directional alternative hypothesis? What is the null hypothesis? What is the conclusion? Use alpha of 0.05 2 tail. Free Association (in seconds) Partially Controlled (in seconds)5.84 4.844.64 5.643.56 8.565.00 7.002.35 4.353.67 4.677.87 6.677.74…
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.7 versus H: p> 0.7 n3D200, x = 150, a=0.05 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, Zo- Zo = (Round to two decimal places as needed.) Identify the P-value. P-value D (Round to three decimal places as needed.) Choose the correct result of the hypothesis test for the P-value approach below. O A. Do not reject the null hypothesis, because the P-value is less than a. Do not reiect the null hvnothesis hecauSe the Pavalue is areater than o Click to select your answer(s). M12 Ch 10 Test, MML (part 2 of 2)
X4.2.27 Assigned Media v Question Help v 34% of working mothers do not have enough money to cover their health insurance deductibles. You randomly select six working mothers and ask them whether they have enough money to cover their health insurance deductibles. The random variable represents the number of working mothers who do not have enough money to cover their health insurance deductibles. Complete parts (a) through (c) below. 4 0.087 5 0.018 0.002 (Round to the nearest thousandth as needed.) (b) Graph the binomial distribution using a histogram and describe its shape. Choose the correct graph below. A. OB. OD. AP(X) AP(x) AP(x) AP(x) 4 6 Describe the shape of the histogram. Choose the correct answer below. O A. Skewed right O B. Symmetrical O C. Skewed left O D. None of these Click to select your answer and then click Check Answer. Clear All Final Check part remaining 10:39 PM O e a D 40) 2/9/2021 P Type here to search Home 立

Consider the data. xi 1 2 3 4 5 yi 3 7 5 11 14 (D) Use the t test to test the following hypotheses (? = 0.05): H0: β1 = 0 Ha: β1 ≠ 0 Find the value of the test statistic. (Round your answer to three decimal places.) =____ Find the p-value. (Round your answer to four decimal places.) p-value = _____ State your conclusion. (A) Reject H0. We cannot conclude that the relationship between x and y is significant.(B) Do not reject H0. We cannot conclude that the relationship between x and y is significant. (C) Do not reject H0. We conclude that the relationship between x and y is significant. (D) Reject H0. We conclude that the relationship between x and y is significant. (E) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal…
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Question list O O Question 21 O Question 22 O Question 23 Question 24 Question 25 Question 26 uestion 27 estion 28 stion 29 ↓ K The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a=0.10. P=0.0138 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? OA. Fail to reject Ho because the P-value, 0.0138, is less than α=0.01. OB. Fail to reject Ho because the P-value, 0.0138, is greater than a = 0.01. OC. Reject Ho because the P-value, 0.0138, is less than a = 0.01. OD. Reject Ho because the P-value, 0.0138, is greater than a = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? O A. Reject Ho because the P-value, 0.0138, is less than a = 0.05. OB. Reject Ho because the P-value, 0.0138, is greater than a = 0.05. OC. Fail to reject Ho because the P-value, 0.0138, is less than a = 0.05. O D. Fail to reject Ho because the P-value, 0.0138,…
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Determine the test statistic for this hypothesis test. (Round to two decimal places as needed.)
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Scenario: I'm interested in whether there is a relationship between Team (A vs. B) and Outcome (Good vs. Bad). Below are the data. Test the null hypothesis that the categories are independent. α= .05. Team A Team B Good Outcome fo = 75 fe = fo = 45 fe = Bad Outcome fo = 25 fe = fo = 5 fe = degrees of freedom, df = ______, and the Chi Square critical boundary = ______

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(a) State the null hypothesis H and the alternative hypothesis H₁. Ho :O H₁:0 (b) Determine the type of test statistic to use. Chi-Square Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value (Bound to ro decimal places