Prof. Juan believes that one of the greatest challenges of remote teaching is ensuring that students can self-direct their learning. Prof. Juan would like to know if majority of his students carry out...

Prof. Juan believes that one of the greatest challenges of remote teaching is ensuring that students can self-direct their learning. Prof. Juan would like to know if majority of his students carry out their own study plan. Although Prof. Juan was able to provide a calendar of tasks, he thinks that there must be some other way to encourage his students to learn more independently. From the sample of 50 students, the estimated proportion of students who carry out their own study plan is
0.56 or 56%
. In addition, there is 95% confidence that it is between
0.4125441 or 41.25%
and
0.7000928 or 70.01%.

Using the binomial exact test with a
p-value equal to
0.2399, it can be said that there is
_______
evidence that the proportion of students who carry out their own study plan is ____________Therefore, __________ of the students are able to self-direct their learning. On a side note, the large sample assumption of the approximate Z-test was ____________since _______________ Hence, approximate Z-test _______________be used to test Prof. Juan’s hypothesis

Extracted text: R COMMANDER OUTPUT Exact binomial test 95 percent confidence interval: 0.4125441 0.7000928 sample estimates: probability of success 0.56 Exact binomial test data: SELF DIRECT number of successes = 28, number of trials 50, p-value 0.2399 alternative hypothesis: true probability of success is greater than 0.5 1-sample proportions test without continuity correction SELF_DIRECT, null probability 0.5 data: X-squared 0.72, df 1, p-value = 0.1981 alternative hypothesis: true p is greater than 0.5