how to type null hypothesis symbol in word

However, an independent researcher believes that less than 80% of all students graduate on time. H A: μ > 68 (the true mean height is greater than 68 inches) Example 3: Graduation RatesĪ university states that 80% of all students graduate on time. H 0: μ ≤ 68 (the true mean height is equal to or even less than 68 inches) To test this, he goes out and collects the height of 50 males in the city. However, an independent researcher believes the true mean height is greater than 68 inches. It’s assumed that the mean height of males in a certain city is 68 inches. H A: μ ≠ 300 (the true mean weight is not equal to 300 pounds) Example 2: Height of Males

H 0: μ = 300 (the true mean weight is equal to 300 pounds) Here is how to write the null and alternative hypotheses for this scenario: To test this, he goes out and measures the weight of a random sample of 40 turtles. Example 1: Weight of TurtlesĪ biologist wants to test whether or not the true mean weight of a certain species of turtles is 300 pounds. Read through the following examples to gain a better understanding of how to write a null hypothesis in different situations. If the sample data gathered by the botanist shows that the mean height of this species of plants is significantly greater than 20 inches, she can reject the null hypothesis and conclude that the mean height is greater than 20 inches. H A: μ > 20 (the true mean height of plants is greater than 20 inches) H 0: μ ≤ 20 (the true mean height of plants is equal to or even less than 20 inches) She can then use this sample data to perform a hypothesis test using the following two hypotheses: To test this claim, she may go out and collect a random sample of plants. However, one botanist claims the true average height is greater than 20 inches. Null hypothesis: The sample data provides no evidence to support some claim being made by an individual.Īlternative hypothesis: The sample data does provide sufficient evidence to support the claim being made by an individual.įor example, suppose it’s assumed that the average height of a certain species of plant is 20 inches tall. Note that the null hypothesis always contains the equal sign. H A (Alternative Hypothesis): Population parameter, ≠ some value H 0 (Null Hypothesis): Population parameter =, ≤, ≥ some value Whenever we perform a hypothesis test, we always write a null hypothesis and an alternative hypothesis, which take the following forms: A hypothesis test uses sample data to determine whether or not some claim about a population parameter is true.

How to type null hypothesis symbol in word