The accompanying table provides amounts of arsenic in samples of brown rice from three different states. These amounts are measured in micrograms of arsenic, and all samples have the same serving size. The data source is the Food and Drug Administration. Using a 0.05 significance level, we aim to test the claim that these samples are from populations with the same mean. Our question is: Do the amounts of arsenic differ across states? Given that Texas samples have the highest mean, does this indicate that brown rice from Texas poses the greatest health problem?### Hypothesis SelectionIdentify the correct hypotheses for this test:- **A.** - Null Hypothesis (H₀): μ₁ ≠ μ₂ ≠ μ₃ - Alternative Hypothesis (H₁): μ₁ = μ₂ = μ₃- **B.** - Null Hypothesis (H₀): μ₁ = μ₂ = μ₃ - Alternative Hypothesis (H₁): μ₁ ≠ μ₂ ≠ μ₃- **C.** - Null Hypothesis (H₀): At least one mean is different from the others - Alternative Hypothesis (H₁): μ₁ = μ₂ = μ₃- **D.** - Null Hypothesis (H₀): μ₁ = μ₂ = μ₃ - Alternative Hypothesis (H₁): At least one mean is different from the others### Statistical Test Determine the test statistic (round to two decimal places).The test statistic is: [ ]### P-valueCalculate the P-value (round to three decimal places).The P-value is: [ ]### ConclusionDo the amounts of arsenic differ by state?There is [ ] sufficient evidence at a 0.05 significance level to reject the claim that the three states have [ ] mean arsenic in brown rice.#### Health ImplicationsDoes the higher mean arsenic level in Texas samples indicate a greater health risk?- **A.** Amounts in Texas are highest, but other states may have higher means not studied here, so no conclusion.- **B.** ANOVA results indicate Texas has the highest mean; thus, it poses the greatest health risk.- **C.** ANOVA results do not specify which state's mean is highest, so no conclusion on health risk. **Arsenic Amounts**The table below provides data on arsenic amounts recorded for three states: Arkansas, California, and Texas.| State | Measurements ||-------------|----------------------------------|| Arkansas | 4.76, 4.85, 4.96, 5.43, 5.41, 5.40, 5.55, 5.57, 5.57, 5.94, 6.00, 6.11 || California | 1.51, 3.67, 4.02, 4.47, 4.86, 5.12, 5.30, 5.42, 5.44, 5.49, 5.60, 5.64 || Texas | 5.62, 5.80, 6.61, 6.93, 6.88, 6.90, 7.07, 7.26, 7.54, 7.63, 7.65, 7.67 |Each row represents arsenic levels measured in a specific state. The measurements indicate variation in arsenic levels within each state.

Introduction: Denote μ1, μ2, μ3 as the true mean amounts of arsenic in brown rice, from states…

The accompanying table gives amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different states? Given that the amounts of arsenic in the samples from Texas have the highest mean, can we conclude that brown rice from Texas poses the greatest health problem? Click the icon to view the data. What are the hypotheses for this test? OA. Ho: H₁ #₂ #13 H₁ H₁ H₂ H3 OB. Ho H₁ H₂ H3 H₁ H₁ H₂ H3 OC. Ho: At least one of the means is different from the others H₁ H₁ H₂ H3 OD. Ho: H₁ H₂ H3 H₁: At least one of the means is different from the others Determine the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value. The P-value is (Round to three decimal places as needed.) Do the amounts of arsenic appear to be different in the different states? There sufficient evidence at a 0.05 significance level to warrant rejection of the claim that the three different states have mean arsenic content(s) in brown rice. Given that the amounts of arsenic in the samples from Texas the highest mean, can we conclude that brown rice from Texas poses the greatest health problem? OA. Although the amounts of arsenic in the samples from Texas have the highest mean, there may be other states that have a higher mean, so we cannot conclude that brown rice from Texas poses the greatest health problem. OB. The results from ANOVA allow us to conclude that Texas has the highest population mean, so we can conclude that brown rice from Texas poses the greatest health problem. OC. The results from ANOVA do not allow us to conclude that any one specific population mean is different from the others, so we cannot conclude that brown rice from Texas poses the greatest health problem. OD. Because the amounts of arsenic in the samples from Texas have the highest mean, we can conclude that brown rice from Texas poses the greatest health problem.