In: Statistics and Probability
b) A member of parliament (MP) who has never visited his
constituency form the time
he was elected is contemplating on recontesting his seat and wants
to determine
if he is still having enough support to validate the expenditure on
campaigns. From
a sample of 150, it was found that 75 voters were satisfied with
his performance.
Construct a 95% confidence interval of the proportion of voters who
still support
the candidature of the MP. [6 Marks]
c) Assume that the number of packages processed daily at the local
post office is
normally distributed. Assume that over 20 days, the standard
deviation of the
number of packages processed was 39.3. Develop a 99% confidence
interval for
the population standard deviation. [6 Marks]
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d) A politician claims that more than 50% of females vote in
presidential elections. A
random sample of 500 female registered voters from a particular
ward showed that
275 of them voted in the last presidential election. Test the
politician’s claim at 5%
level of significance.
[6 Marks