The average number of cavities that thirty-year-old Americans have had in their lifetimes is 9. Do twenty- year-olds have a different number of cavities? The data show the results of a survey of 16 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 6, 5, 10,11,10, 8,11, 5, 9, 9,10, 9,11, 8,10, 5 What can be concluded at the o: = 0.05 level of significance? 3- For this study, we should "59 b. The null and alternative hypotheses would be: Ho: IC] H1: IC] c. The test statistic = :I [please show your answer to 3 decimal places.) d. The p-value = :I (Please show your answer to 4 decimal places.) e. The pvalue is a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest that the population mean number of cavities for twenty-year-olds is not signicantly different from 9 at {I = 0.05, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-yearolds is different from 9. O The data suggest the population mean is not signicantly different from 9 at [I = 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twentyyearolds is equal to 9. O The data suggest the populaton mean is signicantly different from 9 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is different from 9. h. Interpret the pvalue in the context of the study. 0 If the population mean number of cavities for twenty-year-olds is 9 and if you survey another 16 twenty-year-olds then there would be a 43.6698655896 chance that the population mean would either be less than 8.56 or greater than 9.44. Q There is a 43.6698655896 chance that the population mean number of cavities for twentyyear olds is not equal to 9. Q There is a 43.6698655896 chance of a Type I error. 0 If the population mean number of cavities for twenty-year-olds is 9 and if you survey another 16 twenty-year-olds, then there would be a 43.66986558% chance that the sample mean for these 16 twenty-yearolds would either be less than 8.56 or greater than 9.44. J I .4! i. Interpret the level of significance in the context of the study. '3' If the population mean number of cavities for twenty-yearolds is 9 and if you survey another 16 twentyyear-olds, then there would be a 5'56 chance that we would end up falsely concuding that the population mean number of cavities for twentyyear-olds is different from 9. Q If the population mean number of cavities for twenty-year-olds is different from 9 and if you survey another if: twentyyear-olds, then there would be a 5% chance that we would end up falsely concuding that the population mean number of cavities for twenty-yearolds is equal to 9. Q There is a 595 chance that flossing will take care of the problem, so this study is not necessary. Q There is a 596 chance that the population mean number of cavities for twentyyear-olds is different from 9