Answer Happy

1. The research report showed that the percentage of adults who smoked was 0.3, A certain research team wanted to see if the percentage of adult people who smoke that take the MRT to work was higher than the average level. Therefore, 8 adult people were randomly selected in front of the MRT station. let X represent the number of smokers among the 8 people. (a) Please write down the null hypothesis and the opposite hypothesis of this research (b) Assuming that this research team is composed of 3 students, each with different decision-making methods is as follows, please fill in the following table (a)-(i) (Note, please write the calculation process). Student 1: No matter what X, always accept the null hypothesis. Student 2: 0 < x < 3 accepts the null hypothesis. Student 3: No matter what X, never accept the null hypothesis. Type I error Student 1 Type II error If p=0.2 If p=0.5 (b) (c) (e) (f) (h) (i) (a) (d) (g) Student 2 Student 3 The average daily turnover of Ye Company's chain stores is RMB 7,500, with a standard deviation of RMB 2,000. The turnover is expected to decrease this year. 36 chain stores are randomly selected to calculate the average daily turnover of 6,800. Assuming the standard deviation remains unchanged, (a) With a significant level of 5%, has the average daily turnover of the chain store decreased? (b) According (a), if the actual daily turnover is 7,000 yuan, what is the value of Type Il error B? (c) According (b). If a and ß are reduced to half of the original at the same time, how much does the number of sample need to increase?