In: Statistics and Probability
Lilly is supposed to brush her teeth every night before going to bed. One night, her dad asks herwhether she’s already brushed her teeth and she says “yes”. Lilly is usually truthful but to checkher dad touches her toothbrush and finds it dry.It is possible think about this story as a hypothesis test conducted by Lilly’s dad. Please carefullydescribe the following in complete english sentences in the context of this problem(a) The null hypothesis and the alternative hypothesis.(b) A type I error.(c) A type II error.(d) The test statistic.(e) The p-value. story.(f) The conclusion of the test. What do you think does Lilly’s dad will conclude and why?Explain. What is part b, c, and f?