Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfitered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference? E Click the icon to view the data table of the nicotine amounts. Nicotine amounts (mg) ..... Determine the null and alternative hypotheses. 100-mm Nonmenthol Brand Nicotine (mg) Brand Nicotine (mg) Brand Nicotine (mg) 0.3 King-Size 100-mm Menthol 1.7 1.0 1.0 1. 2. 3. 1.1 0.9 1.2 0.9 1.0 1.3 1. H, 12 1.2 0.5 1.2 1.0 3. Find the F test statistic. 4. 1.1 4 4 15 1.4 F- (Round to four decimal places as needed.) 5. 6. 6. 6. 7. 1.2 1.3 1.0 0.8 1.0 7 1.0 Find the P-value using the F test statistic. 8. 8. 9 10 1.1 8. 6. 10 1.1 P-value - (Round to four decimal places as needed.) 1.4 1.2 0.8 0.8 0.8 0.9 10 What is the conclusion for this hypothesis test? O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount e O B. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amoun Print Done OC. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of ni OD. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. Do the filters appear to make a difference?