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Stats As edexcel chapter 7 practice book

https://imgur.com/a/Nlz7HMr

https://imgur.com/a/A4K929Z

Could someone help me with part b of this question please? I found the lower critical region but for the upper critical region I found it to be x_>6 because wouldn’t it have to be less than 0.1 which would work out if we did 1- p(x<_5)=1-.9622=0.0378<0.1.

It’s just that the book says the answer is x>_5 which would give 1-p(x<_4).=0.1036 which is greater than 0.1

So could someone please explain why it is 6 and not five.

Reply 1

Original post
by saminasb3
https://imgur.com/a/Nlz7HMr
https://imgur.com/a/A4K929Z
Could someone help me with part b of this question please? I found the lower critical region but for the upper critical region I found it to be x_>6 because wouldn’t it have to be less than 0.1 which would work out if we did 1- p(x<_5)=1-.9622=0.0378<0.1.
It’s just that the book says the answer is x>_5 which would give 1-p(x<_4).=0.1036 which is greater than 0.1
So could someone please explain why it is 6 and not five.


Sorry I meant to say why the answer is five and not six.

Reply 2

Original post
by saminasb3
https://imgur.com/a/Nlz7HMr
https://imgur.com/a/A4K929Z
Could someone help me with part b of this question please? I found the lower critical region but for the upper critical region I found it to be x_>6 because wouldn’t it have to be less than 0.1 which would work out if we did 1- p(x<_5)=1-.9622=0.0378<0.1.
It’s just that the book says the answer is x>_5 which would give 1-p(x<_4).=0.1036 which is greater than 0.1
So could someone please explain why it is 6 and not five.

From a quick check, it seems to be a two tailed test, so each region at 0.1. The lower one ix X=0 and the upper one appears to be X>=6 as you say.

Reply 3

Original post
by mqb2766
From a quick check, it seems to be a two tailed test, so each region at 0.1. The lower one ix X=0 and the upper one appears to be X>=6 as you say.


So I guess the book is wrong then. Thank you.

Reply 4

Original post
by saminasb3
So I guess the book is wrong then. Thank you.

>=5 gives a value of about 0.104 (from memory) and its suspiciously close to 0.1. But Id agree that the book appears to be wrong.

It does kind of illustrate the "fallacy" that can arise so the critical region would be different for a 20% level or a 21% level, a difference that would be "in the noise" for just about every practical problem, so when x=5 it would be a toss of the coin whether it was in or out of the critical region.
(edited 1 year ago)

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