A certain drug can be used to reduce the acid produced by the body and heal dama

Question

A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 92% of patients taking the drug are healed within 8 weeks. In clinical trials, 208 of 222patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the =0.01level of significance.

his Question: 1 pt 9 of 15 (0 complete) A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims hat more than 92% o patients taking the drug are healed within 222 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the 0.01 level of significance. 5% of the population size, and the sample the requirements for testing the hypothesis | | satisfied. Because npo (1-po) = J 1 10, the sample size is (Round to one decimal place as neaded.) What are the null and alternative hypotheses? | | versus H Type integers or decimals. Do not round) Determine the test statistic, zo (Round to two decimal places as needed.) Detemine the critical valuc(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) Choose the correct conclusion below. 0 A. Reject the null hypothesis. There is insufficient evidence to conclude that more than 92% of patients taking the drug are healed within 8 weeks O B. Do not reject the null hypothesis. There is insufficient evidence to conclude that more than 92% of patients taking the drug are healed within 8 weeks. ° C. Do not reject the null hypothesis. There is sufficient evidence to conclude more than 92% of patients taking the drug are healed within 8 weeks. D. Reject the null hypothesis. There is sufficient evidence to conclude that more than 92% of patients taking the drug are healed within 8 weeks. Click to select your answer(s) Type here to search

Explanation / Answer

Here n = 222 as the total patient pool is of 222 people who are suffering from acid reflux disease

Po=208/222 = 0.9369369 and (1-Po) = 1-0.9369369 =0.06306306

So., n*Po*(1-Po)= 222*0.9369369 *0.06306306=13.11712

Sample size is 222 as as the total patient pool is of 222 people who are suffering from acid reflux disease

and the sample 208 satisfied the requirement of hypothesis that the mean>92%

Ho: mu = 0.92

H1: mu > 0.92

Z= (X'-mu)/sd

where sd = sqrt(Po*(1-Po)/n) = sqrt(0.9369369*(1-0.9369369)/222) =0.01631422

so., Z= (0.9369369-0.92)/0.01631422 =1.038168

the choice is Zalpha = 2.326348 from the z table check for Z value at 0.99 since it's a right tail test as we are concerned with mu>0.92

and here Zcalculated < Ztable critical and so we can not reject the Ho.

And so we can say that the mean value is less than equal to 92% and so here the claim of >92% cured patients at 99% conf level or 1% significance level doesn't stand corrected.

Although we are bound to answer first 4 question only here I have answered all the questions. Hope the above explaination has helped you in understanding the problem Pls upvote the ans if it has really helped you. Good Luck!!

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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