Test the given claim. Identify the null hypothesis, alternative hypothesis, crit

Question

Test the given claim. Identify the null hypothesis, alternative hypothesis, critical values, and conclusion. Sketch the graph to confirm your solution . In a clinical study of an allergy drug, 108 of the 202 subjects reported experiencing significant relief from their sy mptoms. At the 0.01 significance level, test the claim that more than half of all those using the drug experience relief . . 1 4 pt. 7. Test the given claim. Identify the null hypothesis, alternative hypothesis, critical values, and conclusion. A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defected are 5, but the manager claims that this is only a sample fluctuation and production is not really out of c ontrol. At the 0.01 level of significance, test the manager's claim. 1 0 pt. 8. Test the given claim. Identify the null hypothesis, alternative hypothesis, critical values, and conclusion. Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 40 te mperatures on 40 different days and a standard deviation of 1.5°C. We assume that the population mean is 22 °C . Use a 0.05 significance level. Test the claim tha t hat population mean temperature is 22 °C 10 pt. 9. Assume that a simple random sample has been selected from a normally distributed population. Test the given claim. Identify the null hypothesis, alternative hypothesis, critical values, and conclusion. Sketch the graph to confirm your solution . The mean score of 84.5 is obtained for 16 students with a standard deviation of 11.2. We assume that the population mean is 80 . Use a 0.0 1 significance level. Test the claim that the mean score is 80 pt.

Explanation / Answer

Q.
Test the given claim. Identify the null hypothesis, alternative hypothesis, critical values, and conclusion. Sketch the graph to confirm your solution . In a clinical study of an allergy drug, 108 of the 202 subjects reported experiencing significant relief from their sy mptoms. At the 0.01 significance level, test the claim that more than half of all those using the drug experience relief . . 1 4 pt. 7. Test the given claim. Identify the null hypothesis, alternative hypothesis, critical values, and conclusion.
A.
Given that,
possible chances (x)=108
sample size(n)=202
success rate ( p )= x/n = 0.5347
success probability,( po )=0.5
failure probability,( qo) = 0.5
null, Ho:p=0.5  
alternate, H1: p>0.5
level of significance, = 0.01
from standard normal table,right tailed z /2 =2.33
since our test is right-tailed
reject Ho, if zo > 2.33
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.53465-0.5/(sqrt(0.25)/202)
zo =0.985
| zo | =0.985
critical value
the value of |z | at los 0.01% is 2.33
we got |zo| =0.985 & | z | =2.33
make decision
hence value of |zo | < | z | and here we do not reject Ho
p-value: right tail - Ha : ( p > 0.98504 ) = 0.1623
hence value of p0.01 < 0.1623,here we do not reject Ho
ANSWERS
---------------
null, Ho:p=0.5
alternate, H1: p>0.5
test statistic: 0.985
critical value: 2.33
decision: do not reject Ho
p-value: 0.1623

no evidence to support more than half of all those using the drug experience relief

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.