Dan selected a random sample of 100 students from 1200 at his school to investigate preference for making up school days lost due to emergency closings. The results are shown in the table below. Preference Number of Students 58 Extend the school year into the summer Go to school on Saturdays in the spring 42 Dan incorrectly performed a difference in two proportions hypothesis test using p = 58 and 2 = and calculated ap - value of 0.02. Consequently he concluded that 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 No statistical test was necessary because 0.58 is clearly larger than 0.42 O The results of the test were invalid because less than 10% of the population was sampled O A one-sample test for a proportion should have been performed because only one sample was used. O Dan performed a two-tailed test and should have performed a one-tailed test.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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Dan selected a random sample of 100 students from 1200 at his school to
investigate preference for making up school days lost due to emergency closings. The
results are shown in the table below.
Preference Number of Students
Extend the school year into the summer
Go to school on Saturdays in the spring
58
42
Dan incorrectly performed a difference in two proportions hypothesis test using p =
58
100
42
and p2 = and calculated a p - value of 0.02. Consequently he concluded that
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 No statistical test was necessary because 0.58 is clearly larger than 0.42
O The results of the test were invalid because less than 10% of the population was sampled
O A one-sample test for a proportion should have been performed because only one sample
was used.
O Dan performed 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.
Transcribed Image Text:Dan selected a random sample of 100 students from 1200 at his school to investigate preference for making up school days lost due to emergency closings. The results are shown in the table below. Preference Number of Students Extend the school year into the summer Go to school on Saturdays in the spring 58 42 Dan incorrectly performed a difference in two proportions hypothesis test using p = 58 100 42 and p2 = and calculated a p - value of 0.02. Consequently he concluded that 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 No statistical test was necessary because 0.58 is clearly larger than 0.42 O The results of the test were invalid because less than 10% of the population was sampled O A one-sample test for a proportion should have been performed because only one sample was used. O Dan performed 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.
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