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 55 girls in 100 ?births, so the sample statistic of StartFraction 11 Over 20 EndFraction 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?: pgreater than0.5 B. Upper H 0?: pequals0.5 Upper H 1?: pless than0.5 C. Upper H 0?: pequals0.5 Upper H 1?: pnot equals0.5 D. Upper H 0?: pnot equals0.5 Upper H 1?: pgreater than0.5 b. What is the value of alpha?? alphaequals nothing ?(Type an integer or a? decimal.) c. What is the sampling distribution of the sample? statistic? chi squared Normal distribution Student? (t) distribution d. Is the test? two-tailed, left-tailed, or? right-tailed? 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.) Click to select your answer(s).

Answer 1

a) Null Hypothesis H0: p= 0.5

Alternative Hypothesis H1: p > 0.5

b) Significance Level  

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

Answer: Normal Distribution

d) Is the test? two-tailed, left-tailed, or? right-tailed?

Answer: Right?-tailed

e) What is the value of the test? statistic?

Under H0, the test statistic is

f) What is the? P-value?

Answer: The P-Value is 0.1587

g. What are the critical? value(s)?

Answer: The critical value of Z is 2.33

h)  What is the area of the critical? region?

Answer: The area is 0.01

Decision : Since p value is greater than significance Level. Fail to REject H0

Cocnlusion : Hence, at 1% significance level, we do not have enough evidence to support the claim that when parents use a particular method of gender? selection, the proportion of baby girls is greater than 0.5