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A 0.01 significance level is used for a hypothesis test of the claim that when p

ID: 3059259 • Letter: A

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 greater than 0.5. Assume that sample data consists of 45 girls in 81 births, so the sample statistic of five ninths results in a z score that is 1 standard deviation above 0. Complete parts (a) through (h) below. Click here to view page 1 of the Normal table. LOADING... Click here to view page 2 of the Normal table. LOADING...

a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.

A. Upper H 0: pequals0.5 Upper H 1: pless than0.5

B. Upper H 0: pnot equals0.5 Upper H 1: pgreater than0.5

C. Upper H 0: pequals0.5 Upper H 1: pgreater than0.5

D. Upper H 0: pequals0.5 Upper H 1: pnot equals0.5

b. What is the value of alpha? alphaequals=

c. What is the sampling distribution of the sample statistic?

Student (t) distribution

Is the test two-tailed, left-tailed, or right-tailed? d Right-tailed Left-tailed Two-tailed

e. What is the value of the test statistic? The test statistic is nothing. (Type an integer or a decimal.)

f. What is the P-value? The P-value is nothing. (Round to four decimal places as needed.)

g. What are the critical value(s)? The critical value(s) is/are nothing. (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 nothing. (Round to two decimal places as needed.)

Explanation / Answer

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 greater than 0.5. Assume that sample data consists of 45 girls in 81 births, so the sample statistic of five ninths results in a z score that is 1 standard deviation above 0. Complete parts (a) through (h) below. Click here to view page 1 of the Normal table. LOADING... Click here to view page 2 of the Normal table. LOADING...

a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.

A. Upper H 0: pequals0.5 Upper H 1: pless than0.5

B. Upper H 0: pnot equals0.5 Upper H 1: pgreater than0.5

C. Upper H 0: pequals0.5 Upper H 1: pgreater than0.5

D. Upper H 0: pequals0.5 Upper H 1: pnot equals0.5

b. What is the value of alpha? alphaequals=

c. What is the sampling distribution of the sample statistic?

Student (t) distribution

Is the test two-tailed, left-tailed, or right-tailed? d Right-tailed Left-tailed Two-tailed

e. What is the value of the test statistic? The test statistic is nothing. (Type an integer or a decimal.)

f. What is the P-value? The P-value is nothing. (Round to four decimal places as needed.)

g. What are the critical value(s)? The critical value(s) is/are nothing. (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 nothing. (Round to two decimal places as needed.)