Question

13. A 0.01 significance level is used for a hypothesis test of the claim that when parents use a particular method of genderselection, the proportion of baby girls is greater than 0.5. Assume that sample data consists of 55 girls in 100 births, so the sample statistic of 11/20 results in a z score that is 1 standard deviation above 0. Complete parts (a) through (h) below

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

**A.Upper H 0: p ≠0.5**

** Upper H 1: p>0.5**

**B.Upper H 0: p=0.5**

**Upper H 1: p≠0.5**

**C.Upper H 0: p=0.5**

**Upper H 1: p<0.5**

**D.Upper H 0: p=0.5**

**Upper H 1: p>0.5**

**b.** What is the value of α?

a=

(Type an integer or a decimal.)

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

Student (t) distribution

Normal distribution.

X^{2}

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

Left-tailed

Two-tailed

Right-tailed

**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?

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.)

Answer #1

a)

The null and alternative hypothesis is

**D.Upper H 0 : p = 0.5**

**Upper H 1 : p > 0.5**

b)

Level of significance = = 0.01

c)

The sampling distribution of the sample statistic is
**Normal distribution.**

d)

**Right-tailed.**

Because the alternative hypothesis has greater than sign.

e)

Sample size = n = 100

x = 55

Test statistic is

f)

P-value = P(Z > 1) = 0.1587

g)

Critical value = 2.32

h)

The area > 2.32 is critical region.

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 greater than 0.5. Assume
that sample data consists of 55 girls in 100 ?births, so the sample
statistic of StartFraction 11 Over 20 EndFraction results in a z
score that is 1 standard deviation above 0. Complete parts? (a)
through? (h) below. Click here to view page 1 of the Normal...

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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
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