The average number of cavities that thirty-year-old Americans have had in their lifetimes is 9. Do twenty- year-olds have fewer 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. 11, 10, 10, 9, 10, 10, 11, 11, 10, 10, 9, 8 What can be concluded at the o = 0.10 level of significance? a. For this study, we should use | Select an answer v b. The null and alternative hypotheses would be: Ho: 2 v Select an answer H1: 7 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 ? vo 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 less than 9 at o = 0.10, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is less than 9. O The data suggest the population mean is not significantly less than 9 at o = 0.10, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is equal to 9 The data suggest that the population mean number of cavities for twenty-year-olds is not significantly less than 9 at o = 0.10, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is less than 9. h. Interpret the p-value in the context of the study. O There is a 99.76298359% chance of a Type | error. OIf the population mean number of cavities for twenty-year-olds is 9 and if you survey another 12 twenty-year-olds, then there would be a 99.76298359% chance that the population mean number of cavities for twenty-year-olds would be less than 9. O There is a 99.76298359% chance that the population mean number of cavities for twenty-year- olds is less than 9. If the population mean number of cavities for twenty-year-olds is 9 and if you survey another 12 twenty-year-olds, then there would be a 99.76298359% chance that the sample mean for these 12 twenty-year-olds would be less than 9.92. i. Interpret the level of significance in the context of the study. O There is a 10% chance that flossing will take care of the problem, so this study is not necessary. O If the population mean number of cavities for twenty-year-olds is 9 and if you survey another 12 twenty-year-olds, then there would be a 10% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is less than 9. O There is a 10% chance that the population mean number of cavities for twenty-year-olds is less than 9. O If the population mean number of cavities for twenty-year-olds is less than 9 and if you survey another 12 twenty-year-olds, then there would be a 10% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is equal to 9