Multiple Choice:
A die is rolled 600 times. The face with six spots appears 112 times. Is the die biased towards that face, or is this just chance variation? Answer the question in the steps outlined in Problems 1-6.
1) The null hypothesis is:
a) The die is biased towards the face with six spots.
b)The chance that the face with six spots appears is greater than 1/6, and the face appeared 112 times in the sample just by chance.
c) The chance that the face with six spots appears is equal to 1/6, and the face appeared 112 times in the sample just by chance.
d) The die is biased towards the faces that don¢t show six spots.
e) The chance that the face with six spots appears is equal to 112/600.
f) The proportion of times the face with six spots appears is equal to 112/600.
I believe is a. Any suggestions?
answer is c
oh.. Thank you I.G!!
Hola ¿Cuál es el P - value en este problema que escribiste?
To determine the null hypothesis in this case, we need to consider whether the die is biased towards the face with six spots or if the observed frequency of 112 occurrences is simply due to chance.
The null hypothesis assumes that there is no bias towards the face with six spots. In this case, the null hypothesis would be option c) "The chance that the face with six spots appears is equal to 1/6, and the face appeared 112 times in the sample just by chance."
This means that we are assuming the die is fair and the expected probability of the face with six spots appearing is the same as the other faces, which is 1/6. The observed frequency of 112 appearances of the face with six spots can be attributed to chance variations in the sample.
Therefore, the answer is not option a) "The die is biased towards the face with six spots."
So, you are correct. Option c) is the appropriate null hypothesis to consider in this case.