The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty- year-olds have a different number of cavities? The data show the results of a survey of 14 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 7, 8, 7, 7, 9, 7, 10, 9, 8, 10, 6, 9, 6, 8 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 ♥ Н: ?v Select an answer ♥ 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 ? 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 different from 7 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 7. The data suggest that the population mean number of cavities for twenty-year-olds is not significantly different from 7 at a = 0.05, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is different from 7. O The data suggest the population mean is not significantly different from 7 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is equal to 7. h. Interpret the p-value in the context of the study.

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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 a different number of cavities? The data show the results of a survey of 14 twenty-year-olds
who were asked how many cavities they have had. Assume that the distribution of the population is
normal.
7, 8, 7, 7, 9, 7, 10, 9, 8, 10, 6, 9, 6, 8
What can be concluded at the a = 0.05 level of significance?
%3D
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Но: |?
Select an answer
H1:
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 ? va
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 different from 7 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 7.
O The data suggest that the population mean number of cavities for twenty-year-olds is not
significantly different from 7 at a = 0.05, so there is insufficient evidence to conclude that
the population mean number of cavities for twenty-year-olds is different from 7.
%3D
The data suggest the population mean is not significantly different from 7 at a = 0.05, so
there is sufficient evidence to conclude that the population mean number of cavities for
twenty-year-olds is equal to 7.
%3D
h. Interpret the p-value in the context of the study.
Transcribed Image Text:Question 2 > The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty- year-olds have a different number of cavities? The data show the results of a survey of 14 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 7, 8, 7, 7, 9, 7, 10, 9, 8, 10, 6, 9, 6, 8 What can be concluded at the a = 0.05 level of significance? %3D a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: |? Select an answer H1: 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 ? va 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 different from 7 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 7. O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly different from 7 at a = 0.05, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is different from 7. %3D The data suggest the population mean is not significantly different from 7 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is equal to 7. %3D h. Interpret the p-value in the context of the study.
h. Interpret the p-value in the context of the study.
There is a 2.1341638% chance of a Type I error.
O If the population mean number of cavities for twenty-year-olds is 7 and if you survey another
14 twenty-year-olds then there would be a 2.1341638% chance that the population mean would
either be less than 6.07 or greater than 8.
O There is a 2.1341638% chance that the population mean number of cavities for twenty-year-
olds is not equal to 7.
O If the population mean number of cavities for twenty-year-olds is 7 and if you survey another
14 twenty-year-olds, then there would be a 2.1341638% chance that the sample mean for these
14 twenty-year-olds would either be less than 6.07 or greater than 8.
i. Interpret the level of significance in the context of the study.
O If the population mean number of cavities for twenty-year-olds is different from 7 and if you
survey another 14 twenty-year-olds, then there would be a 5% chance that we would end up
falsely concuding that the population mean number of cavities for twenty-year-olds is equal to
7.
O There is a 5% chance that the population mean number of cavities for twenty-year-olds is
different from 7.
There is a 5% 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 7 and if you survey another
14 twenty-year-olds, then there would be a 5% chance that we would end up falsely concuding
that the population mean number of cavities for twenty-year-olds is different from 7.
Transcribed Image Text:h. Interpret the p-value in the context of the study. There is a 2.1341638% chance of a Type I error. O If the population mean number of cavities for twenty-year-olds is 7 and if you survey another 14 twenty-year-olds then there would be a 2.1341638% chance that the population mean would either be less than 6.07 or greater than 8. O There is a 2.1341638% chance that the population mean number of cavities for twenty-year- olds is not equal to 7. O If the population mean number of cavities for twenty-year-olds is 7 and if you survey another 14 twenty-year-olds, then there would be a 2.1341638% chance that the sample mean for these 14 twenty-year-olds would either be less than 6.07 or greater than 8. i. Interpret the level of significance in the context of the study. O If the population mean number of cavities for twenty-year-olds is different from 7 and if you survey another 14 twenty-year-olds, then there would be a 5% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is equal to 7. O There is a 5% chance that the population mean number of cavities for twenty-year-olds is different from 7. There is a 5% 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 7 and if you survey another 14 twenty-year-olds, then there would be a 5% chance that we would end up falsely concuding that the population mean number of cavities for twenty-year-olds is different from 7.
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