The null hypotheses should be rejected for p-value = 0.0153 and a 0.01 %3D
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- After studying the milk yields of a randomly selected sample of 900 cows, researchers felt that the presence of white spots (WS;) on a cow's body led to a different level of milk production (MP;). The researchers estimate the OLS regression: where WS; is a binary variable of the form: WS;= MP;=5.84 +0.12×WS₁, (2.23) (0.06) 1, if the th cow has white spots O, if the th cow doesn't have white spots The 95% confidence interval for the coefficient B₁ is (,). (Round your answers to four decimal places.)You may need to use the appropriate technology to answer this question. In a regression analysis involving 27 observations, the following estimated regression equation was developed. ŷ = 25.2 + 5.5x1 For this estimated regression equation SST = 1,500 and SSE = 550. (a) At a = 0.05, test whether x₁ is significant. State the null and alternative hypotheses. OHP-0 H₁₂O # OHPO HB-0 OH BO Ha Bo=0 OH₁₁ =0 Ha B₁0 Find the value of the test statistic. (Round your answer to two decimal places.) F= Find the p-value. (Round your answer to three decimal places.) p-value= Is x₁ significant? O Reject Ho. We conclude that x₁ is significant. O Do not reject H. We conclude that x, is not significant. Type here to search 3 54°F w W E R FAfter studying the milk yields of a randomly selected sample of 900 cows, researchers felt that the presence of white spots (WS;) on a cow's body led to a different level of milk production (MP;). The researchers estimate the OLS regression: where WS, is a binary variable of the form: WS₁ = MP = 5.36 +0.26 x WS₁, (2.23) (0.06) 1, if the th cow has white spots 0, if the th cow doesn't have white spots The 95% confidence interval for the coefficient ₁ is (₁). (Round your answers to four decimal places.) Based on this interval, we will the hypothesis P₁ = 0 at the 5% significance level. Which of the following statements describes the way in which the coefficient of the indicator variable could be interpreted in this case? O A. The coefficient is the sum of the conditional expectation of the presence of white spots on a cow with respect to the average milk production. OB. The coefficient is the rate of change in the milk production due to a unit change in the number of cows with white…
- The UCLA biomedical lab is running a Chi Squared analysis and have set their significance at 95%. Based on the following statistical statement, χ2(1, N = 72) = 8.85, p < .001, the researchers should fail to reject the null.sanjayAre boys, on average, heavier than girls at birth, all other factors beingequal? If so, by how much? Is the di§erence between boys and girlsestimated from this regression statistically significant at the 5% level?
- Use the following linear regression equation to answer the questions. x3 = −17.3 + 4.1x1 + 9.6x4 − 1.6x7 a) Suppose that n = 10 data points were used to construct the given regression equation and that the standard error for the coefficient of x4 is 0.882. Construct a 90% confidence interval for the coefficient of x4. (Round your answers to two decimal places.) lower limit = ______ upper limit = ______ b) Using the information of part (e) and level of significance 1%, test the claim that the coefficient of x4 is different from zero. (Round your answers to three decimal places.) t= ____ t critical= ______The following estimated regression equation based on 10 observations was presented ŷ = 25.1270 + 0.5309x1 + 0.4920x2 Here, SST = 6,738.125, SSR = 6,221.375, sb1 = 0.0818, and sb2 = 0.0563. Compute MSR and MSE. (Round your answers to three decimal places.) Compute F and perform the appropriate F test. Use α = 0.05. State the null and alternative hypotheses. a. H0: β1 ≠ 0 and β2 ≠ 0 Ha: One or more of the parameters is equal to zero. b. H0: β1 = β2 = 0 Ha: One or more of the parameters is not equal to zero. c. H0: β1 > β2 Ha: β1 ≤ β2 H0: β1 < β2 Ha: β1 ≥ β2 d. H0: β1 ≠ 0 and β2 = 0 Ha: β1 = 0 and β2 ≠ 0 2. Find the value of the test statistic. (Round your answer to two decimal places.) 3. Find the p-value. (Round your answer to three decimal places.) p-value = 4. State your conclusion. a. Reject H0. There is sufficient evidence to conclude that the overall model is significant. b. Do not reject H0. There…Only 19% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 339 randomly selected registered voters surveyed, 75 of them will vote in the upcoming election. What can be concluded at the αα = 0.05 level of significance? The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer reject accept fail to reject the null hypothesis. Thus, the final conclusion is that ... A) The data suggest the population proportion is not significantly higher than 19% at αα = 0.05, so there is statistically insignificant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be higher than 19%. B) The data suggest the population proportion is not significantly higher than 19% at αα = 0.05, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the…
- A medical social worker is interested in examining the relationship between patients who receive social support by family members (yes/no) and the patients’ outcome (failure/success). She collected data over a period of a month (N=100). A chi square analysis revealed the following: χ2= 5.65, df = ?, p = .01. 1. Was a chi-square analysis appropriate to analyze these variables? How do you know?Only 18% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 362 randomly selected registered voters surveyed, 62 of them will vote in the upcoming election. What can be concluded at the αα = 0.05 level of significance? The test statistic ? t z Correct = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)A Express the confidence interval 0.444 < p <0.888 in the form p±E. p±E= +C H
