In Exercises 7–10, the statement represents a claim. Write its...

Question

In Exercises 7–10, the statement represents a claim. Write its complement and state which is Ho and which is Ha.

σ=0.63

Accepted Answer

Hello, everyone. Let's take a look at this question together. A researcher claims that the standard deviation of the weights of apples in an orchard is sigma equals 0.85 kg. Write the complement of this claim and identify which is the null hypothesis, and which is the alternative hypothesis. Which of the following is correct. So, in order to solve this question, we have to recall how to determine the complement of a claim, so that we can write the complement of the claim that the standard deviation of the weights of apples in an orchard is given as sigma equals 0.85 kg, and then when we write the complement of the claim, we must identify which is the null hypothesis, and which is the alternative hypothesis. And so the first step in determining the complement of the claim and identifying the hypotheses, is to understand the claim. which the researcher claims that the standard deviation is equal to 0.85 kg, which is written as sigma equals 0.85. And since this claim includes equality, it becomes part of the null hypothesis. And then using the claim that we are provided, we can write the complement of the claim. Which the opposite or the complement of sigma equals 0.85, is sigma does not equal 0.85. And so we have our claim of sigma equals 0.85, and our complement of the claim, which is sigma does not equal 0.85. So now we can assign the hypothesis, which we know that if the claim includes equality, such as equal. To less than or equal to or greater than or equal to, it goes into the null hypothesis. And then the alternative hypothesis is the complement, as the alternative hypothesis expresses that the parameter is different from what's claimed. So using this information, we can assign our two statements to the null and alternative hypotheses. Therefore, our null hypothesis is sigma equals 0.85, as this matches the researcher's claim, and our alternative hypothesis is sigma does not equal 0.85. So we have our complement of the claim and our two hypotheses. Therefore, looking at our answer choices, we can identify that answer choice B is the correct answer. As answer choice B contains the correct statement for our null hypothesis, and our alternative hypothesis, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

In Exercises 7–10, the statement represents a claim. Write its complement and state which is Ho and which is Ha.

σ=0.63

Key Concepts

Null Hypothesis (Ho)

Alternative Hypothesis (Ha)

Complement of a Hypothesis

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