PROBLEM 1. Suppose in a certain municipality, it is of interest to study the peoples' attitudes towards the proposal to ban anti-government magazines. The municipality was divided into four strata. The table below shows the number of persons in each stratum. Suppose a total sample size of n = 160 is to be allocated among the four strata. (a) How will this sample size be allocated among the four strata using equal allocation? n1 = n2 = n3=_____, and n4 in this order. No need to show computation. n n Stratum ID N₁ Equal allocation Proportional allocation

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PROBLEM 1. Suppose in a certain municipality, it is of interest to study the
peoples' attitudes towards the proposal to ban anti-government magazines.
The municipality was divided into four strata. The table below shows the
number of persons in each stratum. Suppose a total sample size of n = 160 is
to be allocated among the four strata. (a) How will this sample size be allocated
among the four strata using equal allocation? n1 =_____, n2 =_____, n3= , and n4
in this order. No need to show computation.
=
ni
Stratum
n₁
Equal
N₁
ID
Proportional
allocation
allocation
1
442
2
139
3
856
4
104
Your answer
(b) How will this sample size be allocated among the four strata using
proportional allocation? n1 =______, n2 = n3= , and n4=
no need to show computation.
in this order,
Your answer
PROBLEM 2. The Science City of Munoz has 32 barangays. ID numbers 1 to 32 *
were assigned to the barangays. (a) Using SRSWOR, draw a random sample of
8 barangays, using drawlots, or the random key in your scientific calculator, or
by using Excel. Give the list of the barangay ID's (random numbers) you have
obtained.
Your answer
(b) Using systematic sampling to draw the sample of 8 barangays, give the list
of ID numbers of your sample barangays. Support your answer by providing
the following information in order: sampling interval k =______, random start r =
______, followed by the list of ID numbers of the barangays to be included in the
systematic sample.
Your answer
Transcribed Image Text:PROBLEM 1. Suppose in a certain municipality, it is of interest to study the peoples' attitudes towards the proposal to ban anti-government magazines. The municipality was divided into four strata. The table below shows the number of persons in each stratum. Suppose a total sample size of n = 160 is to be allocated among the four strata. (a) How will this sample size be allocated among the four strata using equal allocation? n1 =_____, n2 =_____, n3= , and n4 in this order. No need to show computation. = ni Stratum n₁ Equal N₁ ID Proportional allocation allocation 1 442 2 139 3 856 4 104 Your answer (b) How will this sample size be allocated among the four strata using proportional allocation? n1 =______, n2 = n3= , and n4= no need to show computation. in this order, Your answer PROBLEM 2. The Science City of Munoz has 32 barangays. ID numbers 1 to 32 * were assigned to the barangays. (a) Using SRSWOR, draw a random sample of 8 barangays, using drawlots, or the random key in your scientific calculator, or by using Excel. Give the list of the barangay ID's (random numbers) you have obtained. Your answer (b) Using systematic sampling to draw the sample of 8 barangays, give the list of ID numbers of your sample barangays. Support your answer by providing the following information in order: sampling interval k =______, random start r = ______, followed by the list of ID numbers of the barangays to be included in the systematic sample. Your answer
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