A researcher is studying two types of medication that both treat hives. 24 out of the random sample of 224 adults given medication A still had hives 30 minutes after taking the medication. 16 out of another random sample of 287 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 0.10 level of significance. The correct hypotheses are: Ho:PA < PB НА: РА > рв(claim) Ho :PA 2 PB HA:PA НА:РА < рВ(claim) • Ho:PA = PB HA:PA + PB(claim) Since the level of significance is 0.10 the critical value is -1.282 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)
A researcher is studying two types of medication that both treat hives. 24 out of the random sample of 224 adults given medication A still had hives 30 minutes after taking the medication. 16 out of another random sample of 287 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 0.10 level of significance. The correct hypotheses are: Ho:PA < PB НА: РА > рв(claim) Ho :PA 2 PB HA:PA НА:РА < рВ(claim) • Ho:PA = PB HA:PA + PB(claim) Since the level of significance is 0.10 the critical value is -1.282 The test statistic is: (round to 3 places) The p-value 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 10CYU
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Step 1
Find the probability that people given medication A and B still have hives using the formula:
Let us take the hypothesis:
The test statistic for the hypothesis testing is obtained using the formula:
The tabulated value is given by
Since calculated value of z-statistic < tabulated value, we accept null hypothesis (at 5% level of significance) and conclude that
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