The accompanying data set lists the amounts of nicotine (mg per cigarette) in the king-size cigarettes, the 100-mm menthol cigarettes, and the 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, nonmenthol, and nonlight. The 100-mm menthol cigarettes are filtered and nonlight. The 100-mm nonmenthol cigarettes are filtered and nonlight. Use a 0.10 significance level to test the claim that the three categories of cigarettes yield the same median amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference? Click the icon to view the data for nicotine levels for the three categories of cigarettes. Nicotine in Cigarettes Amount of Nicotine First determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: The samples come from populations with medians that are not all equal. H₁: The samples come from populations with equal medians. B. Ho: The samples come from populations with means that are not all equal. H₁: The samples come from populations with equal means. C. Ho: The samples come from populations with equal means. H₁: The samples come from populations with means that are not all equal. Cigarette Nicotine Cigarette Nicotine Cigarette Nicotine King 1.4 Menthol 1.2 King 1.1 Menthol 0.8 King 1.1 Menthol 0.8 Nonmenthol Nonmenthol Nonmenthol 0.9 0.9 1.1 King 1.7 Menthol 0.5 Nonmenthol 1.1 King 1.1 Menthol 0.8 Nonmenthol 1.1 King 1.5 Menthol 0.8 Nonmenthol 0.8 King 1.3 Menthol 1.1 Nonmenthol 0.5 King 1.1 Menthol 1.2 Nonmenthol 0.8 King 1.1 Menthol 1.3 Nonmenthol 0.8 King 1.1 Menthol 0.9 Nonmenthol 1.1 OD. Ho: The samples come from populations with equal medians. King 1.4 Menthol 0.7 Nonmenthol 1.1 H₁: The samples come from populations with medians that are not all equal. King 1.2 Menthol 1.1 Nonmenthol 1.0 King 1.3 Menthol 0.8 Nonmenthol 1.1 King 1.1 Menthol 0.8 Compute the test statistic. King 1.4 Menthol 1.2 Nonmenthol Nonmenthol 1.1 0.8 The test statistic is (Round to two decimal places as needed.) Determine the P-value. Print Done The P-value is (Round to three decimal places as needed.) State your conclusion. Do the filters appear to make a difference? There sufficient evidence to reject the claim that the samples are from populations with The filters appear to make a difference on the amount of nicotine.