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.