The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty- year-olds have fewer 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. 7, 5, 6, 5, 8, 6, 7, 5, 6, 5, 4, 8, 7, 4, 4, 5 What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho:? Select an answer H₁: ? Select an answer c. The test statistic ? d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should [Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly less than 7 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 7. O The data suggest the populaton mean is significantly less than 7 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 7. O The data suggest the population mean is not significantly less than 7 at a = 0.01, so there is sufficient the i ensitios

MATLAB: An Introduction with Applications
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The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty-
year-olds have fewer 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.
7, 5, 6, 5, 8, 6, 7, 5, 6, 5, 4, 8, 7, 4, 4, 5
What can be concluded at the a = 0.01 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ?
H₁: ?
Select an answer
Select an answer
c. The test statistic ? ✓ =
d. The p-value =
e. The p-value is ? ✓ a
f. Based on this, we should
g. Thus, the final conclusion is that ...
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
Select an answer the null hypothesis.
O The data suggest that the population mean number of cavities for twenty-year-olds is not
significantly less than 7 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 7.
O The data suggest the populaton mean is significantly less than 7 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 7.
O The data suggest the population mean is not significantly less than 7 at a = 0.01, so there is
sufficient evidence to conclude that the population mean number of cavities for twenty-year-
Transcribed Image Text:The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty- year-olds have fewer 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. 7, 5, 6, 5, 8, 6, 7, 5, 6, 5, 4, 8, 7, 4, 4, 5 What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? H₁: ? Select an answer Select an answer c. The test statistic ? ✓ = d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly less than 7 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 7. O The data suggest the populaton mean is significantly less than 7 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 7. O The data suggest the population mean is not significantly less than 7 at a = 0.01, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year-
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