Question

A 0.01 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender​ selection, the proportion of baby girls is less than 0.5. Assume that sample data consists of 66 girls in144

​births, so the sample statistic of 11 Over 24 results in a z score that is 1 standard deviation

below 0.

E. What is the value of the test statistic?

The test statistic is [ ] (type an integer or a decimal)

F. What is the P-Value? [ ] (Round to FOUR decimal places as needed)

G. What are the critical value(s)? [ ] (Round to TWO decimal places as needed. Use a comma to separate answers as needed.)

H. What is the area of the critical religion?

The area is [ ] (Round to TWO decimal places as needed)

Answer 1

Let p denotes the true proportion of baby girls.

To test against

Here

sample proportion

and sample size

The test statistic can be written as

which under H₀ follows a standard normal distribution.

We reject H₀ at 0.01 level of significance if P-value < 0.01 or

The critical region is

Now

The value of the test statistic

P-value

The critical value is

The area of the critical region is