It is known that 60% of voters in a large electorate are in favour of a particular policy.A random sample of 48 voters is taken from the electorate.What is the probability that less than 50% of those sampled are in favour of the policy?

a, Z<0.500.60

0.6(10.6)

48

=1.41

b,

Z<0.500.600.6(10.6)48=1.41

P(P

^

<0.50)=1

P(P^<0.50)=1

P(P

^

<0.50)=P(Z<0.500.60

0.6(10.6)

48

)=P(Z<1.41)=0.0793

P(P^<0.50)=P(Z<0.500.600.6(10.6)48)=P(Z<1.41)=0.0793

P(P

^

<0.50)=P(Z<0.600.50

0.6(10.6)

48

)=P(Z<1.41)=0.9207

P(P^<0.50)=P(Z<0.600.500.6(10.6)48)=P(Z<1.41)=0.9207

Z<0.600.40

0.6(10.6)

48

=1.41