The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty- year-olds have more cavities? The data show the results of a survey of 12 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 4, 7, 5, 5, 6, 7, 6, 6, 6, 7, 5, 6 What can be concluded at the o = 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: 7 Select an answer v H1: 2 v Select an answer v C. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v o f. Based on this, we should |Select an answer v| the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 5 at a = 0.01, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is more than 5. The data suggest the population mean is not significantly more than 5 at @ = 0.01, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is equal to 5. The data suggest that the population mean number of cavities for twenty-year-olds is not significantly more than 5 at a = 0.01, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is more than 5. h. Interpret the p-value in the context of the study. There is a 0.52411806% chance that the population mean number of cavities for twenty-year- olds is greater than 5. If the population mean number of cavities for twenty-year-olds is 5 and if you survey another 12 twenty-year-olds then there would be a 0.52411806% chance that the sample mean for these 12 twenty-year-olds would be greater than 5.83. There is a 0.52411806% chance of a Type | error. If the population mean number of cavities for twenty-year-olds is 5 and if you survey another 12 twenty-year-olds then there would be a 0.52411806% chance that the population mean number of cavities for twenty-year-olds would be greater than 5. i. Interpret the level of significance in the context of the study. If the population mean number of cavities for twenty-year-olds is more than 5 and if you survey another 12 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 5 . There is a 1% chance that the population mean number of cavities for twenty-year-olds is more than 5. There is a 1% chance that flossing will take care of the problem, so this study is not necessary. If the population mean number of cavities for twenty-year-olds is 5 and if you survey another