 # Significance test questions and answers

Recent questions in Significance tests Elleanor Mckenzie 2021-01-31 Answered

### In there a relationship between confidence intervals and two-tailed hypothesis tests? The answer is yes. Let c be the level of confidence used to construct a confidence interval from sample data. Let * be the level of significance for a two-tailed hypothesis test. The following statement applies to hypothesis tests of the mean: For a two-tailed hypothesis test with level of significance a and null hypothesis $$H_{0} : \mu = k$$ we reject Ho whenever k falls outside the $$c = 1 — \alpha$$ confidence interval for $$\mu$$ based on the sample data. When A falls within the $$c = 1 — \alpha$$ confidence interval. we do reject $$H_{0}$$. For a one-tailed hypothesis test with level of significance Ho : $$\mu = k$$ and null hypothesiswe reject Ho whenever A falls outsidethe $$c = 1 — 2\alpha$$ confidence interval for p based on the sample data. When A falls within the $$c = 1 — 2\alpha$$ confidence interval, we do not reject $$H_{0}$$. A corresponding relationship between confidence intervals and two-tailed hypothesis tests is also valid for other parameters, such as p, $$\mu1 — \mu_2,\ and\ p_{1}, - p_{2}$$. (a) Consider the hypotheses $$H_{0} : \mu_{1} — \mu_{2} = O\ and\ H_{1} : \mu_{1} — \mu_{2} \neq$$ Suppose a 95% confidence interval for $$\mu_{1} — \mu_{2}$$ contains only positive numbers. Should you reject the null hypothesis when $$\alpha = 0.05$$? Why or why not? Yasmin 2021-01-27 Answered

### To describe:It is possible that the given claim is true or not. To describe:The questions that should ask about how the data were collected. Cabiolab 2021-01-27 Answered

### Critical Thinking: One-Tailed versus Two-Tailed Tests For the same data and null hypothesis, is the P-value of a one-tailed test (right or left) larger or smaller than that of a two-tailed test? Explain. Tobias Ali 2021-01-24 Answered

### What is the decision at a 0.05 level of significance for each of the following tests? F(3, 26) = 3.00 Retain or reject the null hypothesis? F(4, 55) = 2.54 Retain or reject the null hypothesis? F(4, 30) = 2.72 Retain or reject the null hypothesis? F(2, 12) = 3.81 Retain or reject the null hypothesis? glasskerfu 2021-01-10 Answered

### A company is marketing a new product they say works better than the traditional test tube. There is so much interest in the product that 30 different labs around the world are testing the claim that this product is actually better. If each study uses an alpha level (alpha) of .10, and if the null hypothesis is true (that the test tube isn't any better that the traditional one), how many of the hypothesis tests would we expect to incorrectly find statistical significance (that is, conclude that the new test tube is better, when it actually isn't)? Ramsey 2020-12-30 Answered

### For the same data, null hypothesis, and level of significance, is it possible that a one-tailed test results in the conclusion to reject Hg while a two tilled test results in the conclusion to fail to reject Ho? Explain. texelaare 2020-12-28 Answered

### A. Look for the definitions of the following terms related to hypothesis testing. 1. Null Hypothesis 2. Level of Significance 3. Type I error FobelloE 2020-12-24 Answered

### For the same data, null hypothesis, and level of significance, if the conclusion is to reject $$H_{0}$$ based on a two-tailed test, do you also reject Ho based on a one-tailed test? Explain. York 2020-12-24 Answered

### In there a relationship between confidence intervals and two-tailed hypothesis tests? The answer is yes. Let c be the level of confidence used to construct a confidence interval from sample data. Let * be the level of significance for a two-tailed hypothesis test. The following statement applies to hypothesis tests of the mean: For a two-tailed hypothesis test with level of significance a and null hypothesis $$H_0 : mu = k$$ we reject Ho whenever k falls outside the $$c = 1 — \alpha$$ confidence interval for mu based on the sample data. When A falls within the $$c = 1 — \alpha$$ confidence interval. we do reject $$H_0$$. For a one-tailed hypothesis test with level of significance Ho : mu = k and null hypothesiswe reject Ho whenever A falls outsidethe $$c = 1 — 2\alpha$$ confidence interval for p based on the sample data. When A falls within the $$c = 1 — 2\alpha$$ confidence interval, we do not reject $$H_0$$. A corresponding relationship between confidence intervals and two-tailed hypothesis tests is also valid for other parameters, such as $$p,\mu_1 — \mu_2,$$ and $$p_1, - p_2$$. (b) Consider the hypotheses $$H_0 : p_1 — p_2 = O$$ and $$H_1 : p_1 — p_2 =$$ Suppose a 98% confidence interval for $$p_1 — p_2$$ contains only positive numbers. Should you reject the null hypothesis when alpha = 0.05? Why or why not? Cheyanne Leigh 2020-12-15 Answered

### Whether the provided P-values are statistically significant or not. EunoR 2020-12-15 Answered

### Interpret your conclusion in the context of the application. Falak Kinney 2020-12-07 Answered

### Hypothesis Testing Review For each problem below, simply identify the null and alternative hypotheses. Use appropriate notation/symbols. You do not have to run any hypothesis tests, although it's good practice and I'll post answers for all of them. 1) A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. 2) In 1997, a survey of 880 households showed that 145 of them use e-mail. Use those sample results to test the claim that more than 15% of households use e-mail. Use a 0.05 significance level. ossidianaZ 2020-11-27 Answered

### (a)Find the F-statistic from ANOVA table. Find the p-value. (b)Explain about three p-values for the three tests in parts(a),(b),and(c). Trent Carpenter 2020-11-26 Answered

### State the conclusions about three tests at $$5\%$$ level. tricotasu 2020-11-26 Answered

### What is the level of significance? State the null and alternate hypotheses. Alyce Wilkinson 2020-11-02 Answered

### As access to computers becomes more and more prevalent, we see the P-value reported in hypothesis testing more frequently. Review the use of the P-value in hypothesis testing. What is the difference between the level of significance of a test and the P-value? Considering both the P-value and level of significance. under what conditions do we reject or fail to reject the null hypothesis? Amari Flowers 2020-11-01 Answered

### To give:the hypotheses for the test. Marvin Mccormick 2020-11-01 Answered

### Describe the five-step p-value approach to hypothesis testing. emancipezN 2020-11-01 Answered

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