Summary Vacation occupancy rates were expected to be up during March
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32.     Vacation occupancy rates were expected to be up during March 2008 in Myrtle Beach, South Carolina (The Sun News, February 29, 2008). Data in the file Occupancy will allow you to replicate the findings presented in the newspaper. The data show units rented and not rented for ...
32ÂnbspÂnbspÂnbspÂnbspÂnbsp vacation occupancy rates were expected to be up during march 2008 in myrtle beach
south carolina the sun news
2008 data in the file occupancy will
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32. Vacation occupancy rates were expected to be up during March 2008 in Myrtle Beach, South
Carolina (The Sun News, February 29, 2008). Data in the file Occupancy will allow you to replicate the
findings presented in the newspaper. The data show units rented and not rented for a random
sample of vacation properties during the first week of March 2007 and March 2008.
a. Estimate the proportion of units rented during the first week of March 2007 and the first week
of March 2008.
b. Provide a 95% confidence interval for the difference in proportions.
c. On the basis of your findings, does it appear March rental rates for 2008 will be up from those
a year earlier?
a) i)The proportion of units rented in March 2007 is ^
p1
p 1=number of units rented in march 2007 /total number of unit s in march
^
2007
=70/200 =0.35
ii)The proportion of units rented in March 2008 is ^
p2
p 2=number of units rented in march 2008 /total number of unit s in march
^
2008
=70/150 =0.467
b)
The 95% confidence interval for difference in proportions is given by
Lower bound of 95% Confidence interval is
|( ^
p2 – ^
p 1) |– Z0.025*√(( ^
p 1*(1- ^
p 1)/n1 + ^
p 2*(1- ^
p 2)/n2) = (0.467-0.35) –
1.96*√(.0011+ .0016)
= 0.117 - 0.102 = 0.015
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