Find the critical value, to three decimal places.

Suppose you read a research article that reported the results of a chi square analysis examining the relationship between treatment success (attributes = “yes” or “no”) and history of substance abuse (attributes = “yes” or “no”). The article included the following results in the note on the contingency table: X2 = 3.376, df = 1, p = .015. Which of the following are accurate interpretations of these results? (SELECT TWO CORRECT ANSWERS) Group of answer choices The association between treatment success and history of substance use is NOT statistically significant We can reject the null hypothesis The association between treatment success and history of substance use is statistically significant We can accept the null hypothesis

You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies: H.:PA 0.1; PB 0.5; Pc = 0.1; Pp = 0.3 %3D Complete the table. Observed Expected Squared Category Frequency Frequency Residual A 8 50 C 23 31 What is the chi-square test-statistic for this data? Report all answers accurate to three decimal places.

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You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies: H. :PA : 0.3; рв 0.4; Рс — 0.1; pD 0.2 Complete the table. Expected Frequency Frequency Residual Observed Squared Category A 28 28 10 D 27 What is the chi-square test-statistic for this data? x² : Report all answers accurate to three decimal places.

The data found below measure the amounts of greenhouse gas emissions from three types of vehicles. The measurements are in tons per year, expressed as CO2 equivalents. Use a 0.025 significance level to test the claim that the different types of vehicle have the same mean amount of greenhouse gas emissions. Based on the results, does the type of vehicle appear to affect the amount of greenhouse gas emissions? Click the icon to view the data. What are the hypotheses for this test? O A. Ho: At least one of the means is different from the others. H₁ H₁ H₂ H3 OB. Ho: H₁ H₁: H1 H₂ =H3 H₂ H3 OC. Ho: H₁ H₂ H3 H₁: At least one of the means is different from the others. O D. Ho: H₁ H₂ H3 H₁: H₁ H₂ =H3 Data Table Type A 6.2 6.2 6.5 7.4 7.1 6.1 6.9 7.3 6.9 6.7 Print C Type B 7.7 7.5 8.7 8.1 8.6 8.8 8.4 8.5 Type C 8.5 9.3 9.6 9.1 9.1 9.1 9.8 9.5 9.9 Done O X

I need help with the Part B of this question.

Please answer these two short questions

The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠(not equal sign) 0 at a = .05? (Give your answers correct to three decimal places.) Population 9.2 2.6 1.3 6.6 0.4 0.2 2.3 4.3 3.3 0.2 Crime Rate 11.9 9.1 7 8.7 8.1 8.1 9.5 8.5 9 6.7 (a) Calculate r.(ii) Calculate the critical region. (smaller value) (larger value)

The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠ 0 at ? = .05? (Give your answers correct to three decimal places.) Population 10.4 2 3.4 6 6.2 1.2 2.7 3.1 0.8 5 Crime Rate 12.6 8.9 7.5 8.9 7.8 9.3 8 7.4 8.6 9.3 (a) Calculate r. _______(ii) Calculate the critical region._____ (smaller value) ______(larger value)(b) State the appropriate conclusion. Reject the null hypothesis, there is not significant evidence that ? ≠ 0.Reject the null hypothesis, there is significant evidence that ? ≠ 0.    Fail to reject the null hypothesis, there is not significant evidence that ? ≠ 0.Fail to reject the null hypothesis, there is significant evidence that ? ≠ 0.