So for this question, were supposed to find the vice my left and I support right, given the Alfa value and sample size. So just for reference I've written here, guys were left is guys were one minus alpha like to value and guys were right. These guys were also breaking value. So let's begin for part aid you've been given Alfa is equals to 0.0 fights. We've been given the sample size end. It's swell. The first thing we do, let's find the degrees of freedom. Degrees of freedom is basically the sample size minus long, and in this case we could be 11. Now we find the alphabet to value, so we have Alfa as 0.5 so Alphabet Tomb would be 0.5 divided by two, Which would be zero point. Is it'll two flights, one minus self, about to become 0.975 So usually the chi square table. Now we can find the guy score left and guy scored right guys were left when you would basically be guy square 0.975 with degrees of freedom 11. And if you check the table, this value would be cream 110.816 The guy square right value would basically be guys. Where? 0.2 fire, I swear right would be That's where. 0.25 with degrees of freedom 11 If you check the table, this value with 21.9 do zero. So here deformed the chi square left and the guys were right values putting them in the box. These other price would have been nice for right. Varies for party. Now let's use the same method for hard speak to be be to. For part B region. Given Elvir is equal to 0.10 and it's training. Degrees of freedom would become 20 minus one, which would be 19. Alfa by two would be 0.0 fights and one minus alpha. By two, it's would be 0.95 So now we find the guys were left and guys were right values. Glassware left. You're basically be guys 10.95 degrees of freedom 90. If you check the table, this value would be 10.117 And for Guy square, right? We basically find guys where 0.5 with degrees of Freedom 19 and this value would be Torti 0.144 So here we have the high school of contacts for right values. Or be let's move to mark. See, for parks Eve, you've been given Alfa is equals to 0.5 sample size and 27 Therefore the degrees of freedom would become 27 minus 1 26 We find out if I do fr by two here would be 0.5 divided by two, which would be 0.5 One minor self of I do would be one. Mine is Urban's in five, which would be zero point Langston in place 0.97 Life Now we find the X Chi Square left value guys were left, which is basically guys were 0.975 with degrees of freedom from six. This value would be 13.844 and guy square right would be chi square 0.0 to fight with degrees of freedom 26 This where you guys were right would be 41.93 Now we found the chi square left and guys were right values for part C. Let's move on to Part D for party of the question. Alfa has been given a 0.1 example Size end. It's six. Thus, the degrees of freedom becomes six minus one. Oh, sorry. The degrees of freedom becomes six minus one, which would be five. Also, I'd like to hear would be 0.1 divided by two. And that would be 0.0 fights, one minus alpha by tools would because 0.995 Now we have other by 21 minus alpha By two. We have the degrees of freedom. Let's find Chi Square left and guy school right values Chi Square Left again. Would be Guy swears you're a 0.995 degrees of freedom. Five. If you check the table, this value would come to zero point for one guy square, right? I would hear again. Bees die square 0.5 with degrees of freedom fights and if you take the deal with this value is 16.750 So these other guys were left on guys for right values for R P. Let's move on to part E for part e. Alfa is 0.1. The sample size is 41. Does the degrees of freedom becomes 41 minus warning, which is also by two. Here is 0.1 divided by two, which would be 0.5 One miner sells for like two. Here would be zero point on my place. Now find the base we're lifting. Dice were right. Values Guy Square left is Guy Square, 0.95 degrees of Freedom. Porton, which is 26 point by 09 and guys were Right would be Chi Square, 0.5 degrees off 40 which would be 55 throwing five seven flight Heat My bed. It's 55.75 for my squared, right, So there we go. That's how you find the best looking best right values.