MSV 12: Significance Levels

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Presentation transcript:

MSV 12: Significance Levels www.making-statistics-vital.co.uk MSV 12: Significance Levels

It is tossed n times, and it comes down tails X times. It is suspected that a coin is less likely to give a tail than a head when tossed. It is tossed n times, and it comes down tails X times. A hypothesis test is carried out at a significance level of L%, with H0: p = ½, H1: p < ½, where p is the population probability of getting a tail.

The table below shows how the significance of our result for X varies according to the size of L.

(You will find the spreadsheet Find out what p must be if n = 29 n = 66 n = 92. (You will find the spreadsheet below helpful!) Significance Levels Spreadsheet Hyperlink http://www.s253053503.websitehome.co.uk/msv/msv-12/msv-12.xlsm

That makes the table valid. Varying n, We can try to find a p That makes the table valid. Assuming the table is valid, plot a graph of p against n...

What happens as n gets smaller? Larger? Could we use the Normal approximation to the Binomial here?

is written by Jonny Griffiths www.making-statistics-vital.co.uk is written by Jonny Griffiths hello@jonny-griffiths.net