The City Council of a regional area with a population of
15,240 people is committed to do a lockdown of the region if more
than 3% of its population contracts the Covid-19 virus. To
investigate whether more than 3% of the population have contracted
the virus, the health
authority conducted a random Covid-19 test over 1000 people
living in the region; 32 people tested positive to the virus.
a) You were recently hired as a junior statistician working
for the Council. Assist the council in performing a hypothesis test
at the 1% level of significance to address the problem specified.
Display the six steps process (involving drawing the rejection
region/s and determining the critical value/s for the decision
rule) in performing the test. 6 marks
b) Calculate the p-value of the test above. Display working.
State the decision rule should you want to use the p-value method
hypothesis testing.
2 marks
c) Now that you have performed the test in part a), what would
you suggest to the City Council, i.e. should the regional area be
locked down? Yes or no? Why? 1 mark
d) This hypothesis test is conducted on the basis that the
sampling distribution of the sample proportion is approximately
normally distributed. Specify the required condition to ensure
this. Further, check if the condition is satisfied. 1 mark
I
really need someone help i need to get all 10 marks to graduate.
can someone please help me