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Question: A 0.1 significance level is used for a hypothesis test of the claim that when parents use a parti...

A 0.1 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 greatergreater than 0.5 Assume that sample data consists of 78 girls in 144 births, so the sample statistic of 13 Over 24 results in a z score that is 1 standard deviation above 0. Complete parts​ (a) through​ (h) below.

A) Identify the null hypothesis H0 and H1

B) what is the value of a

C) What is the sampling distribution of the sample​ statistic? Normal Distribution, Xsquared, or student (t) distribution

D) is it 2 tailed, right tailed or left tailed?

E) What is the value of the test statistic

F) P value? (four decimal places)

G) critical value? (2 decimal places, use a cama to seperate values if needed)

H) area of the critical region (2 decimal places)

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	78	144	0.54166667	0.041666667	1	0.1587

Hence,

A) Ho: p = 0.5

H1: p > 0.5

b) a = 0.1

c) Normal

d) Right tailed

e) Test statistic = 1

f) P - value = 0.1587

G) Critical value = 1.28

H) Area of critical region = 0.10