A researcher is studying two types of medication that both treat hives. 18 out of the random sample of 201 adults given medication A still had hives 30 minutes after taking the medication. 22 out of another random sample of 212 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 less than the proportion of people who still had hives after medicine B. Use a 0.05 level of significance. The correct hypotheses are: O Ho: PA ≤ PB HA PA PB(claim) Ho: PA≥ PB HA PA PB(claim) O Ho: PA = PB HA PA The p-value is: PB(claim) Since the level of significance is 0.05 the critical value is -1.645 (round to 3 places) The test statistic is: (round to 3 places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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A researcher is studying two types of medication that both treat hives. 18 out of the random sample of 201
adults given medication A still had hives 30 minutes after taking the medication. 22 out of another random
sample of 212 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 less than the proportion of people who
still had hives after medicine B. Use a 0.05 level of significance.
The correct hypotheses are:
O Ho: PA
HA PA
Ho: PA
HA PA
O Ho: PA
HA PA
=
PB
PB(claim)
The p-value is:
PB
PB(claim)
PB
PB(claim)
Since the level of significance is 0.05 the critical value is -1.645
(round to 3 places)
The test statistic is:
(round to 3 places)
Transcribed Image Text:A researcher is studying two types of medication that both treat hives. 18 out of the random sample of 201 adults given medication A still had hives 30 minutes after taking the medication. 22 out of another random sample of 212 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 less than the proportion of people who still had hives after medicine B. Use a 0.05 level of significance. The correct hypotheses are: O Ho: PA HA PA Ho: PA HA PA O Ho: PA HA PA = PB PB(claim) The p-value is: PB PB(claim) PB PB(claim) Since the level of significance is 0.05 the critical value is -1.645 (round to 3 places) The test statistic is: (round to 3 places)
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