Hypothesis Testing and Significance (Worksheet Extraction)

• There is not enough evidence to reject the post's claim at the 5% level.

• The post is definitely a lie because the p-value is different from 0.05.

• The study proves Sinigang is more popular.

A Department of Agriculture officer wants to test if a new organic fertilizer increases rice yield in Isabela. The population variance of rice yield is historically known to be 2.5. If he samples 40 farms, what is the appropriate test statistic?

• Correlation coefficient

• t-test for independent means

• z-test

• z-test for proportions

• A Type I error was committed.

• No error was committed.

• The test has 95% power.

• A Type II error was committed.

In a Philippine classroom setting, a teacher explains that the rejection region is the range of values for which the null hypothesis is not accepted. If the test is one-tailed (right-tailed), where is the rejection region located on the normal curve?

• In the center of the curve.

• In both the left and right tails equally.

• Entirely in the right tail.

• Entirely in the left tail.

In a study of 1,000 Filipino Gen Z users, 850 use TikTok. If the claimed population proportion is 0.80, what is the calculated z-value?

• 1.25

• 3.16

• 3.95

• 5.21

• Article A, because a smaller sample has less room for error.

• It depends on the p-value, not the sample size.

• Article B, because a larger sample size increases the Power of the Test.

A student researcher in Davao is testing if a new organic fertilizer increases the yield of Durian trees compared to the current brand. Which of the following represents the null hypothesis for this study?

• The organic fertilizer significantly increases the Durian yield.

• There is no significant difference in the yield between the two fertilizers.

• The current brand is better than the organic fertilizer.

• The yield will change, but the direction is unknown.

In a health bulletin from the DOH, it is stated that "The average sugar content in local soft drinks is 35 g." A nutritionist believes it is actually higher. How should the alternative hypothesis (Ha) be written?

• The probability that the fertilizer will work.

• The probability of rejecting the null hypothesis when it is actually true.

• The confidence level of the entire study (95%).

• The total number of farmers participating in the study.

You are analyzing a data set regarding the effect of a "No Plastic Ordinance" in a Cebu municipality. If you decrease the level of significance from 0.10 to 0.01, what happens to the rejection region?

• It becomes larger.

• It becomes smaller, making it harder to reject the null hypothesis.

• It moves to the opposite tail.

• It remains unchanged.