A 005 significance level is used for a hypothesis test of th

A 0.05 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 less than 0.5. Assume that sample data consists of 36 girls in 81 births, so the sample statistic of 4 / 9 results in a z score that is 1 standard deviation below 0. Complete parts (a) through (h) below. Click here to view page 1 of the Normal table. Click here to view page 2 of the Normal table. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below. What is the sampling distribution of the sample statistic? Is the test two-tailed left-tailed or right-tailed? What is the value of the test statistic? What is the P-value? 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.) What is the area of the critical region? The area is . (Round to two decimal places as needed.)

Solution

Option A

H0: p =0.5

Ha: p<0.5

b) Value of alpha = 0.05 (significance level)

c) Normal distribution as sample size >30

d) Left tailed

e) z value = 4/9 = 0.4444

f) p value = 0.3284

g)critical value for 95% = 1.96

h) Area of critical region = 0.05