A random sample of

880

births in New York State included

424

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.

Part 1

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

0.512,

identify the values of

<="" path="">p

and p.

<="" path="">p=

p=

(Round to three decimal places asneeded.)

Part 2

b. For random samples of size

880,

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

424880?

Select the correct choice below and fill in the answerbox(es) within your choice.

(Round to three decimal places asneeded.)

A.

Those that are less than or equal to

B.

Those that are less than or equal to

and those that are greater than or equal to

C.

Those that are greater than or equal to

.

D.

Those that are both greater than or equal to

and less than or equal to

Part 3

c.In using the method of randomization with

1000

resamples, it is found that

44

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

424880.

Using a significance level of

0.10,

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

0.512?

There[is or isn't]sufficient evidence to[warrant the rejection of, or support]the claim that the proportion of male births is equal to

0.512.