The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty year-olds have fewer cavities? The data show the results of a survey of 15 twenty-year-olds...

Extracted text: The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty year-olds have fewer cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 3, 4, 4, 4, 5, 5, 6, 4, 5, 4, 3, 5, 6, 5, 3 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v|| Select an answer H: ?v Select an answer v c. The test statistic ? (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 ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 5 at o =- 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is less than 5. The data suggest the population mean is not significantly less than 5 at c = 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is equal to 5. cavities for twenty-year-olds is not O The data suggest that the population mean number significantly less than 5 at a = 0.05, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is less than 5. h. Interpret the p-value in the context of the study. If the population mean number of cavities for twenty-year-olds is 5 and if you survey another 15 twenty-year-olds, then there would be a 1.6733711% chance that the population mean number of cavities for twenty-year-olds would be less than 5. OIf the population mean number of cavities for twenty-year-olds is 5 and if you survey another 15 twenty-year-olds, then there would be a 1.6733711: chance that the sample mean for these 15 twenty-year-olds woutd be less than 4.4. There is a 1.6733711 chance that the population mean number of cavities for twenty-year-