Assume that observing a boy or girl in a new birth is equally likely. If we obse
ID: 3226082 • Letter: A
Question
Assume that observing a boy or girl in a new birth is equally likely. If we observe five births in a hospital, which of the following outcomes is most likely to happen? Girl, Girl, Girl, Girl, Girl Boy, Girl, Boy, Girl, Boy Boy, Boy, Girl, Girl, Girl Boy, Boy, Boy, Boy, Girl All of the above are equally likely Suppose you conduct a hypothesis test and you obtain a p-value of 0.003. What should you conclude? The null hypothesis is true. The null hypothesis is false. The null hypothesis should be rejected. The alternative hypothesis should be rejected.Explanation / Answer
Question 7:
As the probability of getting a boy or a girl are both equal P( girl ) = P( boy ) = 0.5
Therefore every possible combination of 5 births has an equal probability to happen.
Each of the options will have an equal probability of 0.5*0.5*0.5*0.5*0.5 = 0.03125
Therefore All of the above are equally likely is the correct answer.
Question 8:
As the p-value is 0.003 which is very low, the test is significant and therefore the null hypothesis could be rejected here at 0.5% level of significance. as 0.003 < 0.005. Therefore c) The null hypothesis should be rejected is the correct answer.