The average number of cavities that thirty-year-old Americans have had in their lifetimes is 9. 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. 6, 6, 6, 10, 8, 5, 10, 10, 9, 7, 11, 5, 6, 6, 11, 11 What can be concluded at the a = 0.05 level of significance?

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
icon
Related questions
Topic Video
Question
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 9. 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.
6, 6, 6, 10, 8, 5, 10, 10, 9, 7, 11, 5, 6, 6, 11, 11
What can be concluded at the a =
0.05 level of significance?
a. For this study, we should use Select an answer
ons
b. The null and alternative hypotheses would be:
ve
Но:
: ?
Select an answer v
H1: ?v
Select an answer ♥
ourse
as
重
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.)
%3D
e. The p-value is ? v a
f. Based on this, we should Select an answer v the null hypothesis.
Thus, the final conclusion is that...
O The data suggest that the population mean number of cavities for twenty-year-olds is not
significantly less than 9 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 9.
%3D
O The data suggest the population mean is not significantly less than 9 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 9.
The data suggest the populaton mean is significantly less than 9 at a = 0.05, so there is
sufficient evidence to conclude that the population mean number of cavities for twenty-year-
olds is less than 9.
h. Interpret the p-value in the context of the study.
There is a4185578699 chance of a Tune Lorror
o search
Transcribed Image Text:The average number of cavities that thirty-year-old Americans have had in their lifetimes is 9. 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. 6, 6, 6, 10, 8, 5, 10, 10, 9, 7, 11, 5, 6, 6, 11, 11 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer ons b. The null and alternative hypotheses would be: ve Но: : ? Select an answer v H1: ?v Select an answer ♥ ourse as 重 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.) %3D e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. Thus, the final conclusion is that... O The data suggest that the population mean number of cavities for twenty-year-olds is not significantly less than 9 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 9. %3D O The data suggest the population mean is not significantly less than 9 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 9. The data suggest the populaton mean is significantly less than 9 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for twenty-year- olds is less than 9. h. Interpret the p-value in the context of the study. There is a4185578699 chance of a Tune Lorror o search
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt