Comprehension I
Suppose that you’re working for an education company and you’re launching a new course on your website. For this course, since you want the number of students to be more, you are looking to launch a scholarship program wherein the students who can’t afford the course can avail some scholarship after giving an entrance test. From the past scholarships offered by the company, your CFO claims that the students who pass the test and eventually buy the course get a scholarship of at least 60% on an average. You are a business analyst in the same company and you want to test this claim. So you randomly selected a small sample of 81 students who passed the test and had bought the course and were offered scholarships between 30 – 90%. Here you found that among these 81 students, the average scholarship offered was 57.5% with a standard deviation of 19%
Comprehension 2
Suppose that you’re working for Hotstar. In the past month, there has been a considerable/tremendous raise in subscription for their product ‘Hotstar Premium’. The analysts in the company claim that the subscription increased mainly due to the premiere of Game of Thrones which is going to happen soon. However, some of them believe that this might not be the sole reason because then people would buy it just 1 or 2 days before the premiere. So there might also be some other reason for the spiked membership. The lead business analyst in your company then claims that at least 60% of the past month subscriptions are due to the premiere of ‘Game of Thrones’.
To test this claim you send a survey to some of the users who have purchased the membership in the past month to which 121 users replied. The data for the same has been provided in the Excel below. A ‘1’ in column two indicates that they bought the subscription because of ‘Game of Thrones’ and 0 indicates that they bought it for other reasons. Based on the data answer the following questions.
Note:
You need to use the sample standard deviation instead of the population standard deviation to compute the necessary test-statistic in this case