Task No. 1 (to be recorded as one of your Written Works) A. For each of the given statements, make (1) null hypothesis and (2) alternative hypothesis using written words and symbols: 1. During the COVID 19 pandemic, 6% of cases in the country were confirmed death cases. 2. During the COVID 19 pandemic, more than one-fourth of the residents in cities decided to stay in their remote provinces. 3. Fifty-five percent of the students attended online learning delivery mode. 4. At most, 65% of the public school teachers were advised to stay at home during the opening of the classes. 5. At least 90% of the public schools used blended-learning delivery mode. B. Determine the value of a or - based on the alternative hypothesis in decimal form. 1. A chemist invented an additive to increase the lifespan of a rechargeable battery. The said additive will extend on average the battery's lifespan to 48 months. Test the hypothesis at 0.01 level of significance that the average lifespan is higher than 48 months. 2. The average number of years to finish basic education is 14. A sample of 30 senior high school students was asked and found out that the mean number ofB. Determine the value of a or - based on the alternative hypothesis in decimal form. 1. A chemist invented an additive to increase the lifespan of a rechargeable battery. The said additive will extend on average the battery's lifespan to 48 months. Test the hypothesis at 0.01 level of significance that the average lifespan is higher than 48 months. 2. The average number of years to finish basic education is 14. A sample of 30 senior high school students was asked and found out that the mean number of years to finish their basic education is 12 with a standard deviation of 2 years. Test the hypothesis at a 93% confidence interval that the average number of years to finish basic education is less than 14 years. 3. A sample of 100 private school students was surveyed whether they planned to transfer to public school in the incoming school year. Results showed that 40% of these students will transfer to public school. Test the average number of private school students that will transfer to public school is not 40% at 5% level of significance