Preference Number of Students Extend the school year into 58 summer Go to school on Saturdays in the spring 42

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Stan selected a random sample of 100 students from the 1200 at his school to
investigate preferences for making up school days lost due to emergency weather
closings. The results are shown in the table below.
Preference
Number of Students
Extend the school year into
58
summer
Go to school on Saturdays
42
in the spring
Stan incorrectly performed a large sample test of the difference in two proportions
and calculated a p-value of 0.02. Consequently, he concluded that
42
using
58
and
100
100
there was a significant difference in preference for the two options. Which of the
following best describes his error in the analysis of these data?
O Stan performcd a two-tailed test and should have performed a one-tailed test
O More options should have been included and a chi-square test should have been performed
A one-sample test for a proportion should have been performed becausc only one sample
was used
O The results of the test were invalid because less than 10% of the population was sampled
O No statistical test was necessary bccause 0.58 is clearly larger than 0.42
Transcribed Image Text:Stan selected a random sample of 100 students from the 1200 at his school to investigate preferences for making up school days lost due to emergency weather closings. The results are shown in the table below. Preference Number of Students Extend the school year into 58 summer Go to school on Saturdays 42 in the spring Stan incorrectly performed a large sample test of the difference in two proportions and calculated a p-value of 0.02. Consequently, he concluded that 42 using 58 and 100 100 there was a significant difference in preference for the two options. Which of the following best describes his error in the analysis of these data? O Stan performcd a two-tailed test and should have performed a one-tailed test O More options should have been included and a chi-square test should have been performed A one-sample test for a proportion should have been performed becausc only one sample was used O The results of the test were invalid because less than 10% of the population was sampled O No statistical test was necessary bccause 0.58 is clearly larger than 0.42
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