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A 0.05 significanoe level is used for a hypothesis test of the claim that when p

ID: 3069434 • Letter: A

Question

A 0.05 significanoe level is used for a hypothesis test of the claim that when paronts use a particular method of gender selection, the proportion of baby girls is greater than 0.5 Assurne that sample data consists of 45 grhs in 8 bmple statisto ofl s roauts in sr hat is 1 standard doviation above 0 Complato parts Co) tvough () bol Click hore to view page 1 of the Normal table, Click here to view page 2 of the Normal table d. Is the test two-tailed, left-tailed, or right-tailed? O Right-tailed O Two-tailed O Left-tailed e. What is the value of the test statistic? Tho tnst saiatic pe an integer or a decimal.) f. What is the P-value? The P-value is (Round to four decimal plados as needed.) g. What are the critical value(s)? The critical value(s) isare Round to two decimal places as needed. Use a comma to separate answers as needed) h. What is the area of the artical region? The area is (Rond to two donal places as needed ) Click to select your answerls)

Explanation / Answer

NULL HYPOTHESIS H0: P= 0.5

ALTERNATIVE HYPOTHESIS Ha: P>0.5 (Right tailed test)

p= x/n= 45/81= 0.56

Under null hypothesis H0 test statistic is

Z= p-P/sqrt(P*Q/n)

Z= 0.56-0.5/sqrt(0.5*0.5/81)

Z= 0.06/sqrt(0.0031)

Z= 0.06/0.056

Z= 1.08

Z= 1.1

The P-Value is 0.1357

The critical value is 1.65

The area under critical region is 0.95