nevig adm PERFORMANCE TASK #5 Read and answer the given problem. A certain school observed that the daily average number of senior high school students who that aims to motivate students to come to school early. To test if the program is effective, a random come late is 12.5. To address this concern, the school principal implemented an incentive program 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? Criteria Step 1 Step 2 Step 3 3 points nodel Rubric for the Solution The null and alternative hypothesis are correct. The test statistic used is correct and is justified with the given information. The decision rule is correct and supported by the rejection region and the significance level. The computed value is correct with complete solution. Step 4 The decision is correct and is supported with all the Step 5 necessary information. The conclusion is correct and follows logically from the mea problem and the decision.as 2 points Either the null or the alternative hypothesis is correct. 01-031 The test statistic and decision rule are correct but with incomplete justification. The computed value is incorrect but with complete solution. The decision is correct but the supporting information is incomplete. The conclusion is correct but is quite unclear. 21000 1 point Both the null and the alternative hypothesis are incorrect. The test statistic used and the decision rule are incorrect. There is no solution provided for the answer. The decision is incorrect. The conclusion is 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. noiazubalb onil ni bobu on cale teel to 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 bellggs ed oats fliw roirlw pritas! alaerloqyri ni becauoaib agata eri lison Jan tul beasuonib ed nottelugog a