You are a paranoid delusional statistician with far too much time on your hands.

Question

You are a paranoid delusional statistician with far too much time on your hands. One day, you sit down to have a bowl of soup. This bowl of soup happens to be Tic-Tac-Toe themed, meaning that you have some noodles that are shaped like an X, and some that are shaped like an O.As you stir your soup, you notice that this bowl seems to have a particularly high number of x shaped noodles in it. Being paranoid, you conclude that this has some meaning-like someone is trying to give you a message, possibly warning you of the dangers of x-rays. You jump out of your seat and run to get your x-ray-proof cape, and then you pause for a moment and think that you should calculate a chi-square statistic for the frequency of X out. You sit down and count out the noodles. -shaped noodles before freaking First, you carefully separate each of the noodles by shape. Here is what you find: Frequeney of Noodles X-sha O- 1. First, what type of chi-square design is this (check one box)? Three-cell OThree-by-two 2. Write out the null and alternative hypotheses using symbols: Ha: Now write out the same hypotheses in words that an intelligent 8-year-old could understand. he chape berg in cen? Aliernatively.jke pninbilthec vl beeng in eithor er te a sentence or two about why it would be inappropriate to answer the research question using correlation or a t test. (Hint: you may wish to read up on the difference between parametric and nonparametric tests in the textbook.) 3. Wri

Explanation / Answer

Question (1) Two - Cell

Question (2) H0 : p1 = p2

Ha :p1 p2

Question 3

Here null hypothesis is that probability of shape X noodlesis same as probabiliy of O- shaped noodles when we stir the noodles. ALternative Hypothesis is the freuqncy of shape X is different then getting O - shaped noodeles when we stir the noodles.

Question 3

Here correlation is not a proper method as here these two are independent variables and for a single variable, it cannot be predicted. Similarly, a t test is not sutable to check the independence. Because there is no standard deviation here so we cannot standardises the statistic.

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