Using R programming answer the following (R markdown file):

People are asked to think of a # between 1-10 to see how many people choose odd #'s.

The # people chose: 1 3 2 5 2 3 8 4 1 1

#'s 1-10: 1 2 3 4 5 6 7 8 9 10

1. First off, find/calculate the proportion of students got an odd #.
2. Why would this particular sample provide an unbiased estimation (for proportion) of people choosing odd #'s.
3. What the alternative as well as the null hypothesis.
4. Then test the hypotheses from #3 and find the test statistic as well as p-value.
5. From the p-value found in #4 construct the conclusion (using context).
6. From #4, using the central limit theorem, were validity conditions satisfied? Explain using numbers as well as any appropriate visual displays in context.