Question

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 different from 0.5. Assume that sample data consists of 78 girls in 169 births, so the sample statistic of 6/13 results in a z score that is 1 standard deviation

Complete parts (a) through (h) below

a. identify the null hypothesis and alternative hypothesis.

b. what is the value of a?

c. what is the sampling distribution of the sample statistics?

d. is the test right tailed, two tailed or left tailed?

e. what is the value of the test statistic?

f. what is the p value?

g. what are the critical values?

h. what is the area of the critical region?

Answer 1

a. the null hypothesis and alternative hypothesis.

vs

b. the value for

c. the sampling distribution of the sample statistics

We can use here one sample Z test for proportion.

d. It is two tailed test

e. the value of the test statistic

  

=-1.001

f. p value is =0.3168

P value 0.3168 > 0.01 therefore we fail to reject H0.

g. critical values=

h. the area of the critical region