Question

In: Statistics and Probability

b) A member of parliament (MP) who has never visited his constituency form the time he...

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]
Page 5 of 12
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

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