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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

H_{0} : 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

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