The average number of cavities that thirty-year-old Americans have had in their lifetimes is 6. Do twenty- year-olds have fewer cavities? The data show the results of a survey of 14 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 5, 3, 6, 6, 5,6, 3, 5,4, 5, 7,4,7, 3 What can be concluded at the a = 0.01 level of significance? a. For this study, we should use | Select an answer v b. The null and alternative hypotheses would be: Ho: -[:] H1: -[:] c. The test statistic = C] (please show your answer to 3 decimal places.) d. The p-value = C] (Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest the populaton mean is significantly less than 6 at a: = 0.01, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is less than 6. O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly less than 6 at a = 0.01, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is less than 6. O The data suggest the population mean is not significantly less than 6 at 01 = 0.01, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is equal to 6. h. Interpret the p-value in the context of the study. 0 If the population mean number of cavities for twenty-year-olds is 6 and if you survey another 14 twenty-year-olds, then there would be a 06263651296 chance that the population mean number of cavities for twenty-year-olds would be less than 6. 0 There is a 0.62636512% chance of a Type I error. 0 If the population mean number of cavities for twenty-year-olds is 6 and if you survey another 14 twenty-year-olds, then there would be a 06263651296 chance that the sample mean for these 14 twenty-year-olds would be less than 4.93. 0 There is a 0.62636512% chance that the population mean number of cavities for twenty-year- olds is less than 6. i. Interpret the level of significance in the context of the study. 0 There is a 1% chance that the population mean number of cavities for twenty-yearolds is less than 6. 0 If the population mean number of cavities for twenty-year-olds is less than 6 and if you survey another 14 twenty-year-olds, then there would be a 1% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is equal to 6. 0 There is a 1% chance that flossing will take care of the problem, so this study is not necessary. 0 If the population mean number of cavities for twenty-year-olds is 6 and if you survey another 14 twenty-year-olds, then there would be a 1% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is less than 6