Question
Assume now is 2022. In 2020 'Berita Sepuluh' sought information on how young Indonesian adults viewed their parents' marriage. In a telephone poll, one of
Assume now is 2022. In 2020 'Berita Sepuluh' sought information on how young
Indonesian adults viewed their parents' marriage. In a telephone poll, one of the questions they
asked of six hundred and two (602) 18-29 years old Indonesians was "Would you like to have
a marriage like the one your parents have?" Forty-four percent (44%) responded "Yes." 'Berita
Sepuluh' was interested in determining the percentage of the 18-29 years old Indonesians who
would answer "Yes" to this question.
Which one of the following statements is false? Give a clear and short argument. You might
also need to prove your answer.
a. The parameter to be estimated is population mean. [2 point]
b. In this case, 0.44 is the parameter of population. [2 point]
c. We need to use a finite population correction factor in order to estimate a confidence interval
for this case.
d. In order to estimate a confidence interval, we need to use t-distribution because we don't
know the population standard deviation.
e. A 95% confidence interval of the population parameter of interest is [0.400 and 0.500].
f. If two thousand four hundred (2,400) 18-29 years old Indonesians had been sampled instead
of six hundred and two (602) 18-29 years old Indonesians, then the new 95% confidence
interval would be approximately half as wide.
g. In 2022, a new survey will be conducted. With 0.95 confidence level and margin of error as
0.06, determine the sample size needed for the study.
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