A clinical trial was conducted using a new method designed to increase the proba

Question

A clinical trial was conducted using a new method designed to increase the probability of conceiving a girl. As of this writing, 941 babies were born to parents using the new method, and 878 of them were girls. Use a 0.01 significance level to test the claim that the new method is effective in increasing the likelihood that a baby will be a girl. Identify the null hypothesis, alternativehypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.

b. What is the test statistic? z= _______

(Round the final answer to two decimal places as needed.)

c. What is the P-value?    P-value= ________

(Round to four decimal places as needed.)

d. What is the conclusion?

A. There is sufficient evidence to support the claim.

B. There is not sufficient evidence to support the claim

e. Is the conclusion valid today? Why or why not?

A.Yes, the conclusion is valid

B.No, the conclusion is not valid

C. You can make no decisions about the validity of the conclusion

Explanation / Answer

Given that,
possibile chances (x)=878
sample size(n)=941
success rate ( p )= x/n = 0.933
success probability,( po )=0.5
failure probability,( qo) = 0.5
null, Ho:p=0.5  
alternate, H1: p>0.5
level of significance, = 0.01
from standard normal table,right tailed z /2 =2.33
since our test is right-tailed
reject Ho, if zo > 2.33
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.93305-0.5/(sqrt(0.25)/941)
zo =26.5682
| zo | =26.5682
critical value
the value of |z | at los 0.01% is 2.33
we got |zo| =26.568 & | z | =2.33
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: right tail - Ha : ( p > 26.56824 ) = 0
hence value of p0.01 > 0,here we reject Ho
ANSWERS
---------------

b. What is the test statistic?
z= 26.56

c. What is the P-value? P-value= 0

d. What is the conclusion?
Reject Ho
Option A. There is sufficient evidence to support the claim.

e. Is the conclusion valid today? Why or why not?
A.Yes, the conclusion is valid

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.