On a package of seeds it says that the germination percentage is 70%. If we sow 200 seeds and let X be the number seeds that germinate means that X bin (200, 0.70). (a) You sow 200 seeds. You suspect that the germination rate is less than 70%. Set up appropriately hypotheses to this situation. The significance level must be 5%. What becomes critical value testen? (b) Calculate the p-value if 133 seeds germinate, what will be the conclusion of the hypothesis test? If the germination rate is really 60%, what will be the strength of the test we have developed.

At a university, it has been the case that 40% of the students have preferred to sit at home when they has worked with study-related tasks, 20% have preferred the university canteen, 30% have preferred various social zones at the university, while the remaining 10% have preferred the university's reading room. Following a major upgrade of the university's reading room, a survey is being conducted on where students prefer to do study-related work assignments. 145 blacks at home, 83 canteens, 101 social zones and the 71 reading room. Perform a 2-test at 5% level to investigate whether the upgrade of the reading room has led to a change in the students' preferred place to do study-related work