10. In a certain senior high school, a study found that 972 out that 1,100 Grade 12 students use smartphones. Using a = 0.10 level, is there enough evidence to conclude that the percentage of students who are using smartphones is different from 25%? What is the appropriate alternative hypothesis? А. Ha: p > .25 С. На р-.25 В. Ha p<.25 D. Ha ри.25 11. In problem no. 10, what type of test is used? C. one-tailed test А. directional В. one-sided test D. non-directional 12. The president of a certain food chain claims that 70% of his 20,000 customers are very satisfied with the service they receive. In order to test the claim, a survey was conducted among 100 customers randomly chosen. Among them, 90% said that they are satisfied. Is there enough evidence to say that 70% of the customers are satisfied at 0.05 level of significance? Formulate the null hypothesis. А. На: р*0.7о В. На: р- 0.7о С. На: р<0.70 D. H: р> 0.70 13. In problem no. 12, what is its alternative hypothesis? С. На: р- 0.70 D. Ha: р> 0.7о А. Ha: p# 0.70 В. Ha: p < 0.70 14. Suppose a TV network claims that at least 6% of their 15,000 employees are living in a condominium unit in the city. A survey was conducted randomly among 500 employees. Assume a significance level of 0.05. What is the appropriate alternative hypothesis of this study? С. На: р<0.06 D. H.: р-0.06 А. Ha: p+ 0.06 В. Hạ: p > 0. 06 15. In problem no. 14, what specific type of test is applied? A. directional B. left-tailed test C. one-tailed test D. non-directional
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Answer 1 - 7 AND 13 - 15 questions, just write the correct letter of the answer. NO NEED TO SHOW SOLUTION AND EXPLANATION.
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