Y7 maths teachers - can you explain for me?

[whenthewhistleblows]

What the answers are to these questions, and why?

DS’s maths teacher says ‘look at the lesson on mymaths if you don’t understand’ but the lesson is about 4 sentences long and isn’t helping!

Tia

very weird question. I would imagine that you just need to do 123 divided by 450 x 100 to get the percentage?!

That took me a very long time to make any sort of sense out of. I still don't quite get it! The first one, I would say they are more likely to answer truthfully because they could either have rolled a number 6 or told the lie. So they can say yes without anyone knowing its the truth. But then surely that complicates the second question because how do you work out how many truthfully answered? Or is the question just how many ticked yes?
It's confusing, no?

I think the % answer is 33.

Take 450, 5/6 of them will roll a number that does not equal 6. Therefore 375 go on to answer the Q. Of these 123 answer the Q therefore the correct % is 123 divided by 375.

Just re read the question. So 1/6 of the 450 tick yes.

So from the 123, 90 got there be roll of dice so 33 is the true number that lied. That's on a total of 375 that didn't roll a 6 so a total of 8.8%.

Thanks for the responses! this is totally alien to me - don’t remember doing anything like this at or a level.

Yes, think the answer to the first part is that it encourages people to answer difficult questions truthfully as the person who collects the answers doesnt know whether they ticked yes because they got a six, or because they gave a ‘real’ answer to the question.
I think I’ve just about got my head around this
en.m.wikipedia.org/wiki/Randomized_response

Haven’t got my head around the second part yet. I’ll look at your answers in more detail but I need to lie down with a cold flannel on my forehead for a bit first!

This is the page from the my maths lesson, yes?

Then we have 75 people who rolled a six, leaving 375 who didn't.

That means 123 - 75 lied, ie 48.

The percentage who lied can be worked out as 48/375.

This is 12.8%

that’s not the ‘lesson’ I got to on mymsths - what you’ve posted looks much more helpful!