Find test statistics value, p- value, critical value and critical region.

Question

A 0.05 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 45 girls in 100 ​births, so the sample statistic of 9/20 results in a z score that is 1 standard deviation below 0. Complete parts​ (a) through​ (h) below.

e. What is the value of the test​ statistic?

f. What is the​ P-value?

g. What are the critical​ value(s)?

h. What is the area of the critical​ region?

Answer 1

The z-score is the value of the test statistic

The p-value is the probability z < -1 = 0.1587

The critical value is -1.645, the z-score corresponding to the probability of 0.05.

The area of the critical value is the level of significance 0.05