Question

A method currently used by doctors to screen for possible bre canc fails to detect canc in 15% of the women who actually have the disease. A new method has been developed that researchers hope will be able to detect canc more accurately. A random sample of 70 women known to have br canc were screened using the new method. Of these, the new method failed to detect can in six.

A. Specify the null and alternative hypothesis that the researchers wish to test.
B. Is the sample large enough

Answer 1

Explanation:

1.sample size n = 70

X = 6

We calculate the sample proportion

P^ = 6/70

= 0.0857

The population proportion = 15 percent

P = 15/ 100

= 0.15

The question says we should specify the hypothesis

Null hypothesis

H0: p = 0.15

Alternative

H1: P < 0.15

2.

The sample size is 70 and therefore large enough