Question

3. It is suspected that a die is biased in favour of a "6" occurring. The die is thrown 20 times and a "6" is obtained on 6 occasions. Test, at the 5% level of significance, whether there is evidence that the die is biased in favour of a "6".

Answer 1

given data are:-

sample size (n) = 20

sample proportion () = 6/20 = 0.3

hypothesis:-

[ as all the outcomes should be equally likely when you roll a die.]

[ as It is suspected that a die is biased in favor of a "6" occurring ]

test statistic be:-

p value is :-

[ in any blank cell of excel type =NORMSDIST(1.60)]

decision:-

p value = 0.0549 > 0.05 (alpha)

so, we fail to reject the null hypothesis.

conclusion:-

there is not enough evidence to support the suspect that a die is biased in favor of a "6" occurring at 0.05 level of significance.

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