One treatment for strep throat is a tonsillectomy (having the tonsils removed). A research study wanted to determine whether or not having a tonsillectomy reduced the occurrence of strep throat in pediatric patients. They recruited 40 pediatric patients who had a tonsillectomy for their study and for each patient measured both the number of occurrences of strep throat in the year prior to the tonsillectomy (untreated) and the number of occurrences of strep throat in the year following the tonsillectomy (treated). The summary statistics for the study is shown in the table below (note: not all information in the table is required to solve the problem; you must decide what pieces of information are necessary). Assuming all conditions are met, conduct the appropriate hypothesis test at the 0.05 significance level to determine if patients have a different number of cases of strep throat after treatment [difference = untreated (before tonsillectomy) - treated (after tonsillectomy)]. Assume that standard deviations are the same and use pooled variance. Group nx Untreated (Before Tonsillectomy) 40 7.2 5.3 Treated (After Tonsillectomy) 40 2.3 4.9 40 4.9 3.2 Difference 19. What are the hypotheses? Ho: Huntreated-Treated ≥0 HA: Huntreated-Treated 0 Ho: Puntreated-Treated <0 HA: Huntreated-Treated >0 Ho: Ha = 0 OHA: Hd #0 Ho: Ha=0 HA: Hd <0 Hoμd=0 HA: Md > 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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what is the answer to this question? Also for this case what would the p-value be

One treatment for strep throat is a tonsillectomy (having the tonsils removed). A
research study wanted to determine whether or not having a tonsillectomy
reduced the occurrence of strep throat in pediatric patients. They recruited 40
pediatric patients who had a tonsillectomy for their study and for each patient
measured both the number of occurrences of strep throat in the year prior to
the tonsillectomy (untreated) and the number of occurrences of strep throat in
the year following the tonsillectomy (treated). The summary statistics for the
study is shown in the table below (note: not all information in the table is
required to solve the problem; you must decide what pieces of information are
necessary). Assuming all conditions are met, conduct the appropriate
hypothesis test at the 0.05 significance level to determine if patients have a
different number of cases of strep throat after treatment [difference =
untreated (before tonsillectomy) - treated (after tonsillectomy)]. Assume that
standard deviations are the same and use pooled variance.
Group
nx
Untreated (Before Tonsillectomy)
40 7.2 5.3
Treated (After Tonsillectomy)
40 2.3 4.9
40 4.9 3.2
Difference
19. What are the hypotheses?
Ho: Huntreated-Treated ≥0
HA: Huntreated-Treated 0
Ho: Puntreated-Treated <0
HA: Huntreated-Treated >0
Ho: Ha = 0
OHA: Hd #0
Ho: Ha=0
HA: Hd <0
Hoμd=0
HA: Md > 0
Transcribed Image Text:One treatment for strep throat is a tonsillectomy (having the tonsils removed). A research study wanted to determine whether or not having a tonsillectomy reduced the occurrence of strep throat in pediatric patients. They recruited 40 pediatric patients who had a tonsillectomy for their study and for each patient measured both the number of occurrences of strep throat in the year prior to the tonsillectomy (untreated) and the number of occurrences of strep throat in the year following the tonsillectomy (treated). The summary statistics for the study is shown in the table below (note: not all information in the table is required to solve the problem; you must decide what pieces of information are necessary). Assuming all conditions are met, conduct the appropriate hypothesis test at the 0.05 significance level to determine if patients have a different number of cases of strep throat after treatment [difference = untreated (before tonsillectomy) - treated (after tonsillectomy)]. Assume that standard deviations are the same and use pooled variance. Group nx Untreated (Before Tonsillectomy) 40 7.2 5.3 Treated (After Tonsillectomy) 40 2.3 4.9 40 4.9 3.2 Difference 19. What are the hypotheses? Ho: Huntreated-Treated ≥0 HA: Huntreated-Treated 0 Ho: Puntreated-Treated <0 HA: Huntreated-Treated >0 Ho: Ha = 0 OHA: Hd #0 Ho: Ha=0 HA: Hd <0 Hoμd=0 HA: Md > 0
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