In Homework 7, Question 1.2, what is the null hypothesis?

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BlackTom AI · Accepted Answer

The task asks us to identify the null hypothesis for Homework 7, Question 1.2. However, the provided data lacks the list of answer options, which makes it impossible to evaluate each choice directly. What we can do is discuss the conceptual role of a null hypothesis and examine the single given statement in the context of forming a null hypothesis.

First, recall the general idea: a null hypothesis (H0) is a statement of no effect, no difference, or a statement that reflects the status quo that researchers test against. It is typically a precise, testable claim about a population parameter (such as a probability, mean, or proportion) that can be supported or refuted by data.

Second, consider the given statement in the answer field: "The assignment of vaccines is like tossing a coin that lands heads with chance 3/5." This describes a probabilistic model where the probability of a certain outcome (e.g., receiving a vaccine) is p = 3/5. If the question is asking for the null hypothesis in the context of hypothesis testing about this probability, a natural null hypothesis would be H0: p = 3/5, since it explicitly states a specific value for the population probability.

Third, if the question intends to test whether the vaccination assignment deviates from a fair or specified probability, the alternative hypothesis would typically be H1: p ≠ 3/5 (two-sided) or H1: p > 3/5 or H1: p < 3/5 (one-sided), depending on the research question.

Fourth, note a potential pitfall: sometimes a problem might phrase the null hypothesis in a more general or differently worded way, such as H0: the assignment mechanism has a probability p of a certain outcome equal to a specified value, or H0: the process is equivalent to a biased coin with p = 3/5. If the provided options included wording like H0: p = 0.6 (which is 3/5), that would be a direct match to the standard null form.

Fifth, since no answer options are shown, we cannot judge which specific phrasing among the choices matches the conventional null hypothesis form. If an option states that the probability of the outcome is p = 3/5, that would align with the typical null hypothesis in this scenario. If an option suggested that there is no difference or no effect without tying to a parameter value, it would be less precise for a hypothesis test about p.

Sixth, in practice, when constructing H0 for a binomial-type setup like a vaccine assignment modeled as a coin toss with p = 3/5, ensure the null is a precise statement about the population parameter, not about the sample or about intentions or interpretations. This helps maintain testability with a standard statistical procedure.

Seventh, if your instructor uses a different framing, such as H0: p = 3/5 vs H0: the assignment mechanism produces a 60% probability of the specified outcome, both convey the same underlying claim and would be considered equivalent for testing purposes, provided the wording remains clear and testable.

Eighth, given the missing answer options, if you can share the list of choices, I can map each option to the null-hypothesis concept and explain which one best represents H0 and why, along with why the others are not aligned with the null hypothesis framework.

CIS-124-HYA-CRN48380 Participation Quiz 9

In Homework 7, Question 1.2, what is the null hypothesis?

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Which one is true?

For an upper-tail hypotheses about a population mean with σ known and α=5%, which one is the rejection region?

For a given sample, the P-value for upper tail test is x, and the P-value for two-tailed test is y, then

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Exhibit 9-5 n = 16 H0: μ ≥ 80 = 75.607 Ha: μ < 80 σ = 8.6 Assume the population is normally distributed. Refer to Exhibit 9-5. The p-value is equal to _____.

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What conclusion for a test would correctly detect a difference between the actual parameter and the hypothesized value for the parameter? c08.p089.q0008

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CIS-124-HYA-CRN48380 Participation Quiz 9

In Homework 7, Question 1.2, what is the null hypothesis?

查看解析

登录即可查看完整答案

类似问题

Which one is true?

For an upper-tail hypotheses about a population mean with σ known and α=5%, which one is the rejection region?

For a given sample, the P-value for upper tail test is x, and the P-value for two-tailed test is y, then

For a two-tailed hypothesis test with a test statistic value of z = 2.09, the p-value is _____.

For a sample size of 30, changing from using the t distribution to using the standard normal distribution in a hypothesis test _____.

Exhibit 9-5 n = 16 H0: μ ≥ 80 = 75.607 Ha: μ < 80 σ = 8.6 Assume the population is normally distributed. Refer to Exhibit 9-5. The p-value is equal to _____.

Exhibit 9-1 ​ ​ Refer to Exhibit 9-1. If the test is done at a .01 level of significance, the null hypothesis should _____.

What conclusion for a test would correctly detect a difference between the actual parameter and the hypothesized value for the parameter? c08.p089.q0008

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希望你的学习变得更简单

Exhibit 9-1 Refer to Exhibit 9-1. If the test is done at a .01 level of significance, the null hypothesis should _____.