The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 11 twenty- year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 6, 5, 7, 4, 4, 7, 4, 6, 6, 5, 4 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: Họ: P v Select an answer H1: ? 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 that the population mean number of cavities for twenty-year-olds is not significantly different from 5 at a = 0.01, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is different from 5. O The data suggest the population mean is not significantly different from 5 at a = 0.01, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is equal to 5. O The data suggest the populaton mean is significantly different from 5 at a = 0.01, so there is sufficient evidence to conclude that the population mean number of cavities for twenty- year-olds is different from 5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do
twenty-year-olds have a different number of cavities? The data show the results of a survey of 11 twenty-
year-olds who were asked how many cavities they have had. Assume that the distribution of the
population is normal.
6, 5, 7, 4, 4, 7, 4, 6, 6, 5, 4
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: ? v Select an answer
H: ? vSelect 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 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
significantly different from 5 at a = 0.01, so there is insufficient evidence to conclude that
the population mean number of cavities for twenty-year-olds is different from 5.
O The data suggest the population mean is not significantly differ
there is sufficient evidence to conclude that the population mean number of cavities for
twenty-year-olds is equal to 5.
from 5 at a = 0.01, so
O The data suggest the populaton mean is significantly different from 5 at a = 0.01, so there
is sufficient evidence to conclude that the population mean number of cavities for twenty-
year-olds is different from 5.
Transcribed Image Text:The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 11 twenty- year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 6, 5, 7, 4, 4, 7, 4, 6, 6, 5, 4 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: ? v Select an answer H: ? vSelect 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 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 significantly different from 5 at a = 0.01, so there is insufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is different from 5. O The data suggest the population mean is not significantly differ there is sufficient evidence to conclude that the population mean number of cavities for twenty-year-olds is equal to 5. from 5 at a = 0.01, so O The data suggest the populaton mean is significantly different from 5 at a = 0.01, so there is sufficient evidence to conclude that the population mean number of cavities for twenty- year-olds is different from 5.
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