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A researcher is studying two types of medication that both treat hives. 15 out of the random sample of 219 adults given medication A still had hives 30 minutes after taking the medication. 26 out of another random sample of 295 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance.

A researcher is studying two types of medication that both treat hives. 15 out of the random sample of 219 adults given medication A still had hives 30 minutes after taking the medication. 26 out of another random sample of 295 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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A researcher is studying two types of medication that both treat hives. 15 out of the random sample of 219 adults given medication A still had hives 30 minutes after taking the medication. 26 out of another random sample of 295 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance. The correct hypotheses are: O Ho:PA < PB НА:РА > Рв(claim) Ο Η: pA Σ ΡΒ На: РА < Рв(claim) O Ho:PA = PB HA:PA + PB(Cclaim) Since the level of significance is 0.01 the critical value is 2.576 and -2.576 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. O There is not enough evidence to reject the claim that the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. O There is enough evidence to support the claim that the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. O There is not enough evidence to support the claim that the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B.
Transcribed Image Text:A researcher is studying two types of medication that both treat hives. 15 out of the random sample of 219 adults given medication A still had hives 30 minutes after taking the medication. 26 out of another random sample of 295 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance. The correct hypotheses are: O Ho:PA < PB НА:РА > Рв(claim) Ο Η: pA Σ ΡΒ На: РА < Рв(claim) O Ho:PA = PB HA:PA + PB(Cclaim) Since the level of significance is 0.01 the critical value is 2.576 and -2.576 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. O There is not enough evidence to reject the claim that the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. O There is enough evidence to support the claim that the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. O There is not enough evidence to support the claim that the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B.
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