A random sample of 60 patients was selected for an experimental treatment of temporomandibular (jaw) dysfunction (TMD). Prior to treatment the patients filled out a survey on two nonfunctional jaw habits-bruxism (teeth grinding) and teeth clenching that have been linked to TMD. Of the 60 patients, 4 admitted to only bruxism, 13 admitted to only teeth clenching, 24 admitted to both habits, and 19 claimed they had neither habit Complete parts a the below a Describe the qualitative variable of interest in the study Give the levels (categories) associated with the variable Determine the correct qualitative variable of interest in the study. Choose the correct answer below OA. The qualitative variable of interest is if a person clenches their teeth or not The qualitative variable of interest is jaw habits of dental patients The qualitative variable of interest is if a dental patient has b OD. The qualitative variable of interest is if a person has bruxism, only teeth clenching, or neither habit Determine the corect levels (categories) associated with the variable. Choose the comect answer below OA. The 2 levels or categories of this variable are bruxism and teeth clenching OB The 3 levels or categories of this variable are only bruxism, only teeth clenching, and neither habit The 4 levels or categories of this variable are only bruxism, only teeth clenching, braism and teeth clenching, and neither habit OD. The 2 levels or categories of this variable are bruxism and teeth clenching or neither habit b. Construct a one-way table for the sample data. Select the correct choice below and fill in the answer bones to complete your choice. (Type whole numbers.) Only bruxism Only teeth clenching Bruxism and teeth clenching] Neither habit 19 13 ▬▬ 24 Bruxism Teeth clenching or Neither habit Bruxism Teeth cleaching OC Only bruxism Only teeth clenching Neither habit OD c. Give the null and alterative hypotheses for testing whether the percentages associated with the admitted habits are the same M₂: P₁ P₂ = P₂ = P = 0.25 d. Calculate the expected numbers for each cell of the one-way table. Select the correct choice below and fill in any answer boxes to complete your choice. (Type integers or decimals. Do not round) OA The expected number for cell p, it for cellpy is forcellpy is and for cellp, is Not all of the expected numbers are the same. The expected number for each cell in the one-way table is 15 OC. The expected number for cellp, is for cell pis, and for cell p, is Not all of the expected numbers are the same. OD The expected number for cellp, is and for cell p₂ is Not all of the expected numbers are the same e. Calculate the appropriate test statistic x 14.000 (Round to three decimal places as needed) 1. Give the rejection region for the test at 0.05 Reject H 7.015 (Round to three decimal places as needed) g. Give the appropriate conclusion in the words of the problem. Choose the correct answer below Do not reject H. There is sufficient evidence that the percentages associated with the admitted habits are not the same. OB Reject H. There is insufficient evidence that the percentages associated with the admitted habits are not the same OD. Do not reject H. There is insufficient evidence that the percentages associated with the admitted habits are not the same c. Reject H. There is sufficient evidence that the percentages associated with the admitted habits are not the same Find and interpreta 95% confidence interval for the true proportion of dental patients who admit to both habits. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to two decimal places as needed) OA The proportion of samples that have 95% of dental patients admiting to both habits is between ⒸB. There is 95% confidence that the true population proportion of dental patients who admit to both habits is between and [ and OC. For a randomly selected sample of 60 patients, the proportion of patients who admit to both habits is between in 95% of the samples

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A random sample of 60 patients was selected for an experimental treatment of temporomandibular (jaw) dysfunction (TMD). Prior to treatment, the patients filled out a survey on two nonfunctional jaw habits-bruxism (teeth grinding) and teeth clenching that have been linked to TMD. Of the 60 patients, 4 admitted to only bruxism, 13 admitted to only teeth clenching, 24 admitted to both habits, and 19 claimed they had neither habit. Complete parts a thro
below.
a. Describe the qualitative variable of interest in the study. Give the levels (categories) associated with the variable.
Determine the correct qualitative variable of interest in the study. Choose the correct answer below.
OA. The qualitative variable of interest is if a person clenches their teeth or not.
B. The qualitative variable of interest is jaw habits of dental patients.
O C. The qualitative variable of interest is if a dental patient has bruxism.
O D. The qualitative variable of interest is if a person has bruxism, only teeth clenching, or neither habit.
Determine the correct levels (categories) associated with the variable. Choose the correct answer below.
O A. The 2 levels or categories of this variable are bruxism and teeth clenching.
O B. The 3 levels or categories of this variable are only bruxism, only teeth clenching, and neither habit.
C. The 4 levels or categories of this variable are only bruxism, only teeth clenching, bruxism and teeth clenching, and neither habit.
O D. The 2 levels or categories of this variable are bruxism and teeth clenching or neither habit.
b. Construct a one-way table for the sample data. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type whole numbers.)
Only bruxism Only teeth clenching Bruxism and teeth clenching | Neither habit
CA
4
13
24
19
Bruxism
Teeth clenching or Neither habit
O B.
Bruxism
Teeth clenching
O C.
Only bruxism Only teeth clenching Neither habit
O D.
c. Give the null and alternative hypotheses for testing whether the percentages associated with the admitted habits are the same.
Ho: P₁ P₂ = P3 P4 = 0.25
: [
d. Calculate the expected numbers for each cell of the one-way table. Select the correct choice below and fill in any answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
O A. The expected number for cell p₁ is
for cell p₂ is
, for cell P3 is
and for cell p4 is
Not all of the expected numbers are the same.
B. The expected number for each cell in the one-way table is
OC. The expected number for cell p, is
, for cell p₂ is
and for cell p, is
P3
.Not all of the expected numbers are the same.
Not all of the expected numbers are the same.
OD. The expected number for cell p, is
and for cell p₂ is
e. Calculate the appropriate test statistic.
14.800
(Round to three decimal places as needed.)
f. Give the rejection
region for the test at a = 0.05.
Reject Hif x² >
7.815
(Round to three decimal places as needed.)
g. Give the appropriate conclusion in the words of the problem. Choose the correct answer below.
O A. Do not reject Ho. There is sufficient evidence that the percentages associated with the admitted habits are not the same.
OB. Reject Ho. There is insufficient evidence that the percentages associated with the admitted habits are not the same.
O D. Do not reject Ho. There is insufficient evidence that the percentages associated with the admitted habits are not the same.
C. Reject Ho. There is sufficient evidence that the percentages associated with the admitted habits are not the same.
h. Find and interpret a 95% confidence interval for the true proportion of dental patients who admit to both habits. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals rounded to two decimal places as needed.)
O A. The proportion of samples that have 95% of dental patients admitting to both habits is between
and
ⒸB. There is 95% confidence that the true population proportion of dental patients who admit to both habits is between
and
O C. For a randomly selected sample of 60 patients, the proportion of patients who admit to both habits is between
in 95% of the samples.
15
and
Transcribed Image Text:A random sample of 60 patients was selected for an experimental treatment of temporomandibular (jaw) dysfunction (TMD). Prior to treatment, the patients filled out a survey on two nonfunctional jaw habits-bruxism (teeth grinding) and teeth clenching that have been linked to TMD. Of the 60 patients, 4 admitted to only bruxism, 13 admitted to only teeth clenching, 24 admitted to both habits, and 19 claimed they had neither habit. Complete parts a thro below. a. Describe the qualitative variable of interest in the study. Give the levels (categories) associated with the variable. Determine the correct qualitative variable of interest in the study. Choose the correct answer below. OA. The qualitative variable of interest is if a person clenches their teeth or not. B. The qualitative variable of interest is jaw habits of dental patients. O C. The qualitative variable of interest is if a dental patient has bruxism. O D. The qualitative variable of interest is if a person has bruxism, only teeth clenching, or neither habit. Determine the correct levels (categories) associated with the variable. Choose the correct answer below. O A. The 2 levels or categories of this variable are bruxism and teeth clenching. O B. The 3 levels or categories of this variable are only bruxism, only teeth clenching, and neither habit. C. The 4 levels or categories of this variable are only bruxism, only teeth clenching, bruxism and teeth clenching, and neither habit. O D. The 2 levels or categories of this variable are bruxism and teeth clenching or neither habit. b. Construct a one-way table for the sample data. Select the correct choice below and fill in the answer boxes to complete your choice. (Type whole numbers.) Only bruxism Only teeth clenching Bruxism and teeth clenching | Neither habit CA 4 13 24 19 Bruxism Teeth clenching or Neither habit O B. Bruxism Teeth clenching O C. Only bruxism Only teeth clenching Neither habit O D. c. Give the null and alternative hypotheses for testing whether the percentages associated with the admitted habits are the same. Ho: P₁ P₂ = P3 P4 = 0.25 : [ d. Calculate the expected numbers for each cell of the one-way table. Select the correct choice below and fill in any answer boxes to complete your choice. (Type integers or decimals. Do not round.) O A. The expected number for cell p₁ is for cell p₂ is , for cell P3 is and for cell p4 is Not all of the expected numbers are the same. B. The expected number for each cell in the one-way table is OC. The expected number for cell p, is , for cell p₂ is and for cell p, is P3 .Not all of the expected numbers are the same. Not all of the expected numbers are the same. OD. The expected number for cell p, is and for cell p₂ is e. Calculate the appropriate test statistic. 14.800 (Round to three decimal places as needed.) f. Give the rejection region for the test at a = 0.05. Reject Hif x² > 7.815 (Round to three decimal places as needed.) g. Give the appropriate conclusion in the words of the problem. Choose the correct answer below. O A. Do not reject Ho. There is sufficient evidence that the percentages associated with the admitted habits are not the same. OB. Reject Ho. There is insufficient evidence that the percentages associated with the admitted habits are not the same. O D. Do not reject Ho. There is insufficient evidence that the percentages associated with the admitted habits are not the same. C. Reject Ho. There is sufficient evidence that the percentages associated with the admitted habits are not the same. h. Find and interpret a 95% confidence interval for the true proportion of dental patients who admit to both habits. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals rounded to two decimal places as needed.) O A. The proportion of samples that have 95% of dental patients admitting to both habits is between and ⒸB. There is 95% confidence that the true population proportion of dental patients who admit to both habits is between and O C. For a randomly selected sample of 60 patients, the proportion of patients who admit to both habits is between in 95% of the samples. 15 and
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