/e B WorK > MAA MATHEMATICAL ASSOCIATION OF AMERICA nu webwork klein-apstatistic

Question

/e B WorK > MAA MATHEMATICAL ASSOCIATION OF AMERICA nu webwork klein-apstatistics 10.3-large-sample-hypotheses-test_for_a_populatio, proportion ts mple 10.3 Large- oportion Problem 6 Prey Up Nextl Test for a Sample Hvpotheses Test for a Population Proportion: mail (1 pt) blems Physicians at a clinic gave what they thought were drugs to 980 patients. Although the doctors later learned that the drugs were really placebos, 59 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.54. Test the hypotheses that the proportion of patients improving is >0.54 n 7 m 8 m 9 m 10 em 11 em 12 em 13 Find the test statistics: Find the p-value. splay Options mtial credit on this problem

Explanation / Answer

Sol:

z=p^-p0/sqrt(po(1-po)/n)

p^=sample proportion=0.59

po=population proportion=0.54

n=sample size=980

z=(0.59-0.54)/(sqrt(0.54(1-0.54)/980))

=3.1405

z=3.14(to 2 decimals)

answer:z=3.14

for z =3.14

p=0.0008447392

r code i used to get p value is pnorm(-3.14)  

ANSWER:

P=0.0008

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

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