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6 . Aleksandr carries out a � test at the 5 % significance level to determine whether a teacher ’ s gender would have impacts on their chosen teaching subjects . 300 teachers are surveyed and the results are shown in the table .
English Spanish Mathematics Economics Male 35 10 65 45 Female 32 35 33 45
( a ) State the null hypothesis H
0 for this test .
( b ) Show that the expected number of male Spanish teacher is 23.25 .
( c ) Find the p -value for this test .
( d ) Hence , state the conclusion of the test with a reason .
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