Education researchers at a university wanted to know how the COVID-19 pandemic had impacted their first-year university students with regards to their learning. They randomly selected 1000 first-year students and emailed them the survey. One of the questions asked, "Which do you prefer: Learning on-campus or learning online?" For this question they received 815 responses. A bootstrap confidence interval was conducted to find the proportion of all first-year students who preferred learning online. Part of the output for the construction of the bootstrap interval is shown in Figure 1. Data

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29.
Education researchers at a university wanted to know how the COVID-19 pandemic had impacted their first-year
university students with regards to their learning. They randomly selected 1000 first-year students and emailed
them the survey.
One of the questions asked, "Which do you prefer: Learning on-campus or learning online?"
For this question they received 815 responses.
A bootstrap confidence interval was conducted to find the proportion of all first-year students who preferred
learning online. Part of the output for the construction of the bootstrap interval is shown in Figure 1.
Data
Online
0.0
353
0.1
0.2
Bootstrap Distribution
0.3
04
On-campus
10.43
0.4 0.47
0.5
0.5
462
0.6
0.4 0.47
Figure 1: Bootstrap confidence interval construction output
07
07
0.8
0.9
T.0
Transcribed Image Text:29. Education researchers at a university wanted to know how the COVID-19 pandemic had impacted their first-year university students with regards to their learning. They randomly selected 1000 first-year students and emailed them the survey. One of the questions asked, "Which do you prefer: Learning on-campus or learning online?" For this question they received 815 responses. A bootstrap confidence interval was conducted to find the proportion of all first-year students who preferred learning online. Part of the output for the construction of the bootstrap interval is shown in Figure 1. Data Online 0.0 353 0.1 0.2 Bootstrap Distribution 0.3 04 On-campus 10.43 0.4 0.47 0.5 0.5 462 0.6 0.4 0.47 Figure 1: Bootstrap confidence interval construction output 07 07 0.8 0.9 T.0
Which one of the following statements is false?
O 43% of those sampled preferred online learning.
The proportion of first-year students at the university who preferred online learning varied between 40% and
47%
57% of those sampled preferred on-campus learning.
We do not know for sure that this bootstrap confidence interval contains the true proportion of first-year
students at the universitly who preferred online learning.
It's a fairly safe bet that somewhere between 40% and 47% of first-year students at the university preferred
online learning.
Transcribed Image Text:Which one of the following statements is false? O 43% of those sampled preferred online learning. The proportion of first-year students at the university who preferred online learning varied between 40% and 47% 57% of those sampled preferred on-campus learning. We do not know for sure that this bootstrap confidence interval contains the true proportion of first-year students at the universitly who preferred online learning. It's a fairly safe bet that somewhere between 40% and 47% of first-year students at the university preferred online learning.
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