1 1: Identifying Appropriate Rejection Region Involving Population Proportion Learning Task No 1: (25pts) Read each situation carefully and fill in the space provided with appropriate information. write the appropriate null and alternative hypotheses in sentence form and their corresponding symbols. Then identify whether it is right-tailed, left-tailed or two-tailed test. Write your answers on the blank provided. 1. A student researcher claims that 8% of the Junior High School completers will enroll in private Senior High Schools. To test this claim, he collected sufficient samples randomly and found out that 85 out of 380 Junior High School completers are planning to enroll in private Senior High Schools. Test if the claim was different at a = 0.01 level. Ho: 8%% of the Junior High school completers will enroll in PrivateSHS. Ha:8% of the JHS completers will not enroll on Private SHS Hypotheses in symbols: Ho: p = 0.08 Ha: p/ 0.08 Direction : one Tailed-test 2. It has been claimed that 40% of students in a particular senior high school dislike Mathematics. When a survey was conducted by a researcher, it showed that 145 of 800 students dislike Mathematics. Test if the claim was different at a = 0.05 level. Ho: 40% of the students in a particular SHS dislike Mathematics. Ha: 40 %% OF the students in a particular SAS like Mathematics Hypotheses in symbols: Ho: = 0.4 Direction : one Tailed-test : p # 0.4 3. In a public market, 65% of the vendors preferred to use plastic over paper bags. After the local ordinance was signed, 92 out of 120 randomly selected vendors preferred plastic over paper bags. Does this indicate that vendors in that public market have less preference in using paper bags? Use 0.05 level of significance. Ho: 65%% OF the vendors preferred to use plastic over paper bags. Ha: 66910 of the vendors does not prefer to Use plastic over paper bags. Hypotheses in symbols: Ho: D= 0.45 Ha : Direction : _ two _ Tailed-test 4. After launching the Water and Hygiene in School program, the principal believes that 95% of the students applied that proper handwashing techniques in school as well as at home. A random survey was conducted to 500 students and only 41d of them said they practiced correct handwashing technique both in school and at home. use 0.01 level of significance. Ho: gsolo of the students applied that proper handwashing techniques in school yes Ha: 96%% of the students didn't apple Hypotheses in symbols: Ho: -pro-9s 2 : odg try that proper hand washing techniques in school Direction : TWO Tailed-test 5. A drug manufacturer claims that fewer than 10% of patients who take its new drug for treating certain pneumonia will experience nausea. in a random sample of 250 patients, 23 experienced nausea. Perform a significance test at the 5% significance level to test this claim. pneumonic Ho: More than 10%% OF patients who takeits new drug to treating certain will experien Ha: fewer than to to of patients who take its new drug to treating certain nausea. Hypotheses in symbols: Ho: Ha: p 50 . 1 Direction : left _Tailed -test Learning Task No 2 (40pts) Refers to the given items in learning task no 1, complete the table below , find the value of p,x,n, a and critical value, then compute for p, q. Lastly, illustrate the rejection region under the normal curve by using the given information. Highway, Brgy Makiling, Calamba City, 4027 MISS01523 mewa City, 40% wy . DINA D . FULLEROS pEdTayoMIS301523 Head Teacher -MathematicsDepartment of Coucation REGION IV - A CALABARZON SCHOOLS DIVISION OF CALAMBA CITY MAKILING INTEGRATED SCHOOL No P q=1-p Critical Value rejection region Learning Task No 3: Multiple Choice: Write the letter of the best answer before the number. Use Capital letters oph (15pis) wina is the correct symbol for hypothesized proportion? ce form of the statement: Ha : p # 0.21? 15 21% by.21%. 21% ly 21% in sentence form? "ad test