Activity 3: Please Correct Me If I'm Wrong! Directions: On the first blank before each number, draw a happy face if the pair of hypotheses is correct and a sad face if the pair is incorrect. If incorrect, write the correct ALTERNATIVE hypothesis in symbols on the second blank.

____, __________ 1. 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: p= 0.65 Ha: p< 0.65

____, __________ 2. The school principal in a certain private junior high school claimed that 35% of all students are in favor of the new PE uniform. A research teacher asked his students to verify the claim. With this, 271 out of 400 randomly selected students agreed to the new PE uniform. Using a = 0.10 level, is there enough evidence to conclude that the percentage of students who are in favor of the new PE uniform is different from 35%? Ho: p = 0.35 Ha: p > 0.35

____, __________ 3. A research found out that 5% of the senior high school students in a certain school are working students. A researcher randomly selected 35 out of 300 students who are working. Is there a percentage increase in the number of senior high school students who are working? Use a = 0.01 level. Ho: p = 0.05 Ha: p 0.05

____, __________ 4. Before the national elections, 75% of the voters in a certain town said that they preferred older senatorial candidates running for senatorial positions than younger candidates. After a certain survey was conducted, 910 out of 1,300 randomly selected voters preferred older senatorial candidates. Does this claim indicate that voters in that town have a greater interest in older candidates than in younger ones? Use a = 0.05 Ho: p = 0.75 Ha: p > 0.75

____, __________ 5. A researcher claimed that 55% of elementary students would rather play than read books during break time. Another researcher was assigned to verify the claim. He randomly selected 300 students. Two hundred seventy-four (274) of them said they would rather play during break time than read books. At 0.10 level, is there enough evidence to conclude that the percentage of elementary students who would rather play than read books has changed to 55%? Ho: p = 0.55 Ha: p < 0.55

Activity 4: Use It in a Sentence! Directions: Using the given problems in Activity 3, write the appropriate null and alternative hypotheses in sentence form.

1. Ho Ha

2. Ho Ha

3. Ho Ha

4. Ho Ha

5. Ho Ha

Activity 5: Tell me the Tail Directions: In each problem below, give the null and alternative hypotheses and identify whether it is right-tailed, left-tailed or two tailed test.

1. A sample of 800 items produced on a new machine showed that 48 of them are defective. The factory will get rid the machine if the data indicates that the proportion of defective items is significantly more than 5%. At a significance level of 10% does the factory get rid of the machine or not? 2. 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. 3. In a group of 375 Senior High School students, 40 were left-handed. Is this significantly different from the proportion of all Senior High School students who are left-handed, which is 12%? 4. In a random survey of 1000 households in Unlad Province, it is found that 29% of the households have at least one member with a college degree. Does this finding contradict the statement that the proportion of all such households in Unlad Province is 35 percent? Test at a = .05 significance level. 5. In a random sample of 400 electronic gadgets, 14 were found to be defective. The manufacturer wants to claim that less than 5% of all of their games are defective. Test this claim at the 0.01 significance level