A team of eye surgeons have developed a new technique to restore the sight of pe

Question

A team of eye surgeons have developed a new technique to restore the sight of people blinded from a certain disease. Using the old method 30% of patients recovered their sight. The new technique was used in 310 operations in various hospitals with 126 successful. Some insurance companies do not want to pay the extra money. Use the data to test the surgeons claim that the new technique shows a statistically significant improvement of successful results at the 1% level of significance. Write a conclusion. A team of eye surgeons have developed a new technique to restore the sight of people blinded from a certain disease. Using the old method 30% of patients recovered their sight. The new technique was used in 310 operations in various hospitals with 126 successful. Some insurance companies do not want to pay the extra money. Use the data to test the surgeons claim that the new technique shows a statistically significant improvement of successful results at the 1% level of significance. Write a conclusion.

Explanation / Answer

Here, Using old method the proportion of patients recovered = 30% = 0.30

New Technique developed by surgeons proportion of patient recovered = 126 out of 310 = 0.406

At 1% level of significance, putting these value in the STATA software gives the following results

. prtesti 310 0.406 0.3, level(99)

One-sample test of proportion x: Number of obs = 310
------------------------------------------------------------------------------
Variable | Mean Std. Err. [99% Conf. Interval]
-------------+----------------------------------------------------------------
x | .406 .0278917 .3341557 .4778443
------------------------------------------------------------------------------
p = proportion(x) z = 4.0726
Ho: p = 0.3

Ha: p < 0.3 Ha: p != 0.3 Ha: p > 0.3
Pr(Z < z) = 1.0000 Pr(|Z| > |z|) = 0.0000 Pr(Z > z) = 0.0000

Here P value is < 0.001 suggest that new technique shows a statistically significant improvement of successful results at the 1% level of significance.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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