In a maze running study, a rat is run in a T maze and the result of each run rec

Question

In a maze running study, a rat is run in a T maze and the result of each run recorded. A reward in the form of food is always placed at the right exit. If learning is taking place, the rat will choose the right exit more cften than the left. If no learning is taking place, the rat should randomly choose either exit Suppose that the rat Is given n 10 rrs in the maze and that he chooses the right exit X 65 bmes. would you conc uce that learning IS taking place? Use 001 Rnund your test statistic to two decimal places and your p-value to four decimal places.) 1-2. Null and altenative hypotheses Hui p # 0.65 versus Hai p = 0.65 Ho: p-0.5 versus Ha: p > 0.5 110: -0.5 versus Ha: # 0.5 H0; p = 0.65 versus H. p # 0.65 Ho: p

Explanation / Answer

PART 1 and 2

WE WANT to test whether learning is taking place or not so we want p>0.5

so H0 :p=0.5 vs H1: p>0.5

PART 3

value of the test statistics is root(n)*((proportion)-0.5)/(0.5*0.5)^0.5

puting p as 0.65 we get 3 as out test statistics

PART 4

p value is 0.0017

PART 5

we reject the null in favour of alternative as pvalue<0.01

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