Bobby is supposed to brush his teeth every night before going to be One night, h
ID: 3249125 • Letter: B
Question
Bobby is supposed to brush his teeth every night before going to be One night, his mom asks him whether he's already brushed and he says "yes". To check she touches his toothbrush and finds it dry. This story actually describes the application of a hypothesis test conducted by Billy's mom. Please describe carefully (in complete English sentences) The null hypothesis and the alternative hypothesis The test statistic. The p-value (recall that a p-value is a conditional probability). Define this probability in the context of the above story. The conclusion of the test. What do you think Bobby's mom will conclude and why? Explain.Explanation / Answer
a) null hypothesis is that Bobby brush his teeth every night, against the alternative hypothesis that Bobby does not brush his teeth every night.
b) test statistics are the values that compare our data to what we are expecting in our null hypothesis i.e, here, out test will be compare his teeth with our null hypothesis i.e, wet.
c) p value is the probability of getting the data observed if the null hypothesis is true. Here, p value may be the probability of wet teeth.
d) Since, his mother finds his teeth dry, she may reject the null hypothesis i.e, Bobby does not brush his teeth every night.
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