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PERFORMANCE TASK # 5 Read and answer the given problem. A certain school observed that the daily average number of senior high school students who come late is 12.5. To address this concern, the school principal implemented an incentive program that aims to motivate students to come to school early. To test if the program is effective, a random sample of 60 days is taken after the implementation of the program and shows a sample mean of 7.5 with a standard deviation of 3.4. Is there enough evidence to conclude that at 0.01 level of significance, the number of students who come in late to school per day has decreased since the implementation of the program? Rubric for the Solution Criteria 3 points 2 points 1 point Either the null or the Both the null and The null and alternative Ija Step 1 alternative hypothesis is the alternative hypothesis are correct. correct. hypothesis are incorrect. The test statistic used is correct of novic and is justified with the given The test statistic and The test statistic Step 2 information. The decision rule is decision rule are correct used and the correct and supported by the but with incomplete decision rule are rejection region and the justification. incorrect. significance level. The computed value is correct The computed value is There is no solution Step 3 with complete solution. incorrect but with-b provided for the complete solution. answer. The decision is correct and is The decision is correct Step 4 The decision is supported with all the but the supporting necessary information. incorrect. information is incomplete. The conclusion is correct and Step 5 The conclusion is follows logically from the616 The conclusion is correct problem and the decision. T. but is quite unclear. incorrect.WRITTEN WORK # 5 Formulate the null and alternative hypotheses in sentence form for the given problems. 1. In a certain community, 68% of the residents are members of 4Ps. A random sample of 120 residents are taken and 70 are 4Ps members. Test the hypothesis that less than 68% of the residents are 4Ps members. 2. It is claimed that 75% of teachers are single. A survey was conducted and the result shows that 280 of the 400 randomly selected teachers are single. Is there enough evidence to conclude that the proportion of teachers who are single is not 75%? 3. A researcher claimed that 42% of senior high school students are working students. Another researcher wants to verify this and randomly selected 300 senior high school students. One hundred forty-five of the randomly selected students turned out to be working students. Is there enough evidence to conclude that the proportion of senior high school students who are working is greater than 42%? 4. A drug manufacturer claims that the new drug for treating diabetes is 80% effective. A random sample of 350 diabetic patients, 300 showed improvement. Test the claim at 5% level of significance. nolacubalb oril ni bobula of offeltele-feet to noitso 5. In a random sample of 320 senior high school students, 180 prefer online distance learning. Is this significantly different from proportion of senior high school students who prefer online distance learning which is 60%? no ballgus ed oats fliw poirw pritfeel elearliogi ni beasupaibagels er lisost fall full .beaaupgib ed