Question

A clinical trial was conducted using a new method designed to increase the probability of conceiving a girl. As of this? writing, 963 963 babies were born to parents using the new? method, and 892 892 of them were girls. Use a 0.05 0.05 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, alternative? hypothesis, 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. what is test statistic z= round 2 decimal places

Answer 1

Solution: The null and the alternative hypotheses under consideration is:

The sample proportion is given below:

The test statistic is given below:

  

Conclusion about null hypothesis:

Reject the null hypothesis because p-value is less than or equal to the significance level 0.05.

Final conclusion about the original claim.

There is not sufficient evidence to warrant rejection of the claim that the new method is effective in increasing the likelihood that a baby will be a girl.