8.2.29 A 0 05 significance level is used for a hypothesis test of the claim that

Question

8.2.29 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 giris is less than 0.5. Assume that sample data consists of 78 girls in 169 births, so the sample statistic of results in a z score that is 1 standard deviation below 0 Complete parts (a) through (h) below 6 e Click here to view .nage.2 ot the Normal table Click here to view.page 1 of f d. Is the test two-tailed, left-tailed, or right-tailed? Two-tailed Right-tailed ? Left-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 0.1587 (Round to four decimal places as needed.) g. What are the critical value(s)? The cntical valu(s) is/are -1.65 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 0 05 (Round to two decimal places as needed ) Question is complete. Tap on the red indicators to see incorrect answers.

Explanation / Answer

Since we need to test the claim whether proportion of girls is less than 0.5, the test is a left - tailed test.

Given that the z score is 1 standard deviation below the mean so, test statistic = -1

p - Value = P(z < -1) = 0.1587

Critical value at 0.05 level of significance = -1.65

Area = 0.05

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