(a) Department of Statistics Malaysia (DOSM) has reported that 21% of loans granted by  conventional bank were for home mortgages, 39% were for automobile purchases, 20% were  for credit card and other unsecured

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(a) Department of Statistics Malaysia (DOSM) has reported that 21% of loans granted by 
conventional bank were for home mortgages, 39% were for automobile purchases, 20% were 
for credit card and other unsecured loans, 12% were for real estate other than home loans, and 
8% were for other miscellaneous needs. To see if XYZ Bank customers had similar needs, the 
bank manager surveyed a random sample of 100 loans and found that 25 were for home 
mortgages, 44 for automobile purchases, 19 for credit card and unsecured loans, 8 for real estate 
other than home loans, and 4 for miscellaneous needs. At ? = 0.05, is the distribution the same 
as reported in the newspaper?

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