In a study, investigators surveyed individuals by telephone about how often they get tension headaches. One response variable that was measured was whether or not the respondent had experienced an episodic tension-type headache (ETTH) in the prior year. A headache pattern was called "episodic" if the headaches occurred less often than 15 times a month; otherwise, the headaches were called "chronic." Of the 1,660 women in the survey aged 18 to 29, a total of 658 said that they had experienced ETTHs in the last year. Of the 2,172 women in the 30- to 39-year-old age group, the number having experienced episodic headaches was 996. (a) Calculate the proportion who experienced an episodic headache in the prior year in the 18 to 29 group. (Round your answer to four decimal places.) Calculate the proportion who experienced an episodic headache in the prior year in the 30 to 39 group. (Round your answer to four decimal places.) Compute the difference in these two proportions. (Use p18 to 29 − p30 to 39. Round your answer to four decimal places.) (b) Compute a 95% confidence interval for the difference between the proportions for these age groups in the population (round to three decimals) __to__
In a study, investigators surveyed individuals by telephone about how often they get tension headaches. One response variable that was measured was whether or not the respondent had experienced an episodic tension-type headache (ETTH) in the prior year. A headache pattern was called "episodic" if the headaches occurred less often than 15 times a month; otherwise, the headaches were called "chronic." Of the 1,660 women in the survey aged 18 to 29, a total of 658 said that they had experienced ETTHs in the last year. Of the 2,172 women in the 30- to 39-year-old age group, the number having experienced episodic headaches was 996. (a) Calculate the proportion who experienced an episodic headache in the prior year in the 18 to 29 group. (Round your answer to four decimal places.) Calculate the proportion who experienced an episodic headache in the prior year in the 30 to 39 group. (Round your answer to four decimal places.) Compute the difference in these two proportions. (Use p18 to 29 − p30 to 39. Round your answer to four decimal places.) (b) Compute a 95% confidence interval for the difference between the proportions for these age groups in the population (round to three decimals) __to__
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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In a study, investigators surveyed individuals by telephone about how often they get tension headaches. One response variable that was measured was whether or not the respondent had experienced an episodic tension-type headache (ETTH) in the prior year. A headache pattern was called "episodic" if the headaches occurred less often than 15 times a month; otherwise, the headaches were called "chronic." Of the 1,660 women in the survey aged 18 to 29, a total of 658 said that they had experienced ETTHs in the last year. Of the 2,172 women in the 30- to 39-year-old age group, the number having experienced episodic headaches was 996.
(a)
Calculate the proportion who experienced an episodic headache in the prior year in the 18 to 29 group. (Round your answer to four decimal places.)
Calculate the proportion who experienced an episodic headache in the prior year in the 30 to 39 group. (Round your answer to four decimal places.)
Compute the difference in these two proportions. (Use
p18 to 29 − p30 to 39.
Round your answer to four decimal places.)(b)
Compute a 95% confidence interval for the difference between the proportions for these age groups in the population (round to three decimals)
__to__
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