In Maharlika Special Education School, a sample of 150 students was chosen and among them, 53 are diagnosed with Attention Deficit Hyperactivity Disorder(ADHD). At 𝛼 =0.01, test the hypothesis that the proportion of ADHD students in the school is not 0.40. What is the alternative hypothesis?

Before the Mayweather vs. Pacquiao’s Fight of the Century, 75% of people in Manila said that they prefer boxing over basketball. After the fight, out of 150 randomly chosen people in Manila, 105 said they prefer boxing over basketball. Which statement represents the probability of success, p?

A pharmaceutical company is on the first phase of testing a vaccine for a new virus. They claim that 68% of the people vaccinated recovered. To test this claim they form a group consists of 100 people each who have a disease and given a vaccine. It is found out that 65 recovered from the disease. At significance level of 0.01, what is the critical value?

In the website of Sweet Choco, it was stated that an ideal bag of chocolates contains24% white chocolates. Forty chocolate sachet packs were taken as sample and found out that there are 9 white chocolates. At 0.01 level of significance, if the critical value is ±2.575 and the computed z-value is -0.22, what should be the decision?

Which of the following is an acceptable reason to conclude that there is enough evidence for the null hypothesis to be rejected?