Section 7.4: Hypothesis Testing forProportions. 4. The Women’s Center currently

Question

Section 7.4: Hypothesis Testing forProportions.

4. The Women’s Center currently uses a screen methodto detect breast cancer in women. The method fails to detect cancerin 15% of the women who have the disease. A researchuniversity has developed a new screening method that will detectbreast cancer more accurately. It claims that their new method willproduce a failure rate much lower. The Center is testing the newmethod. Seventy women known to have breast cancer are selected atrandom. The new procedure is used. Of this sample, the newscreening method failed to detect cancer in 8 women. Use thecritical value z0 method from the normal distribution totest that the new screening process fails to detect cancer at alower proportion. Use a level of significance of a = 0.05. (Roundphat to 2 decimal places.)

(References: examples 1 through 3 pages 408 - 410,end of section exercises 9 - 14   pages 411 -412) (6 points)

Answer:

1.   H0 :Ha: a =

2.   Test statistics:=

3.   P-value or criticalz0 =

4.   RejectionRegion:  

5.  Decision:

6.   Interpretation:

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