14 . A die is tossed for 150 times . From the observation , 39 results are shown as ‘ 3 ’ s .
A hypothesis test is conducted at a 5 % significance level to test whether the die is biased such that the probability of getting a ‘ 3 ’ is greater than 0.25 .
( a ) ( i ) Write down the null hypothesis of the test .
( ii ) Write down the alternative hypothesis of the test .
( b ) Find the p -value .
( c ) State the conclusion of the test with a reason .
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