A random sample of

960

births in New York State included

474

boys, and that sample is to be used for a test of the common belief that the proportion of male births in the population is equal to

0.512.

Complete parts (a) through (c)

a. In testing the common belief that the proportion of male babies is equal to

0.512,

identify the values of

p

and p.

b. For random samples of size

960,

what sample proportions of male births are at least as extreme as the sample proportion of

474960?

Select the correct choice below and fill in the answer box(es) within your choice.(Round to three decimal places as needed.)

A.

Those that are both greater than or equal to

enter your response here

and less than or equal to

enter your response here.

B.

Those that are less than or equal to

enter your response here

and those that are greater than or equal to

enter your response here.

C.

Those that are greater than or equal to

enter your response here.

D.

Those that are less than or equal to

enter your response here.

Part 3c. In using the method of randomization with

1000

resamples, it is found that

287

of them have sample proportions that are at least as extreme as

474960.

Using a significance level of

0.05,

what should be concluded about the claim that the proportion of male births is equal to

0.512?

There

is

is not

sufficient evidence to

warrant rejection of

support

the claim that the proportion of male births is equal to

0.512.