A 0.10.1 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 36

girls in 81 births, so the sample statistic of four ninths results in a z score that is 1 standard deviation below

0. Complete parts (a) through (h) below.

A. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.

a. H :p=0.5

0

H :p0.5

1

b. H :p0.5

0

H :p<0.5

1

c. H:p =0.5

0

H :p<0.5

1

d. H :p=0.5

0

H :p>0.5

1

B. What is the value of ?

=___

(Use an integer or a decimal.)

C. What is the sampling distribution of the sample statistic?

a) 2

b) Student (t) distribution

c) Normal distribution

D.Is the test two-tailed, left-tailed, or right-tailed?

a) Right-tailed

b) Two-tailed

c) Left-tailed

E.What is the value of the test statistic?

The test statistic is ___. (Use an integer or a decimal.)

F. What is the P-value?

The P-value is ___. (Round to four decimal places as needed.)

G. What are the critical value(s).

The critical value(s) is/are ___. (Round to two decimal places as needed. Use a comma to separate answers as needed.)

H. What is the area of the critical region?

The area is ___. (Round to two decimal places as needed.)