Question

A 001 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 different from 0.5. Assume that sample data consists of 55 girls in 100 births, so the sample statistic of 20 results in a z score that is 1 standard deviation above 0. Complete k arts (a) through h) below. Click here to view page 1 of the N ormal table, Click here to view page of the O Left-tailed O Two-tailed Right-tailed e. What is the value of the test statistic? The test statisticis(Type 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 certical value(s) is/are Round to three 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) Click to select your answer(s)

Answer 1

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H₀ : p = 0.5
H_A : p ≠ 0.5

Hypothesis test results:

Proportion	Count	Total	Sample Prop.	Std. Err.	Z-Stat	P-value
p	55	100	0.55	0.05	1	0.3173

Hence,

d) Two-tailed test

e) Test statistic = 1

f) P-value = 0.3173

g) Critical values = -2.576,2.576

h) Area = 0.01