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* O… I've time and again rejected or failed to reject the null hypothesis. The null hypothesis is rejected if the P-value is very small, such as 0.05 or less. Explain your answer. Two-tailed Test H0: = H1: ≠ Means less than or greater than _____ H o: Pavel does not have parapsychological abilities versus H … Solution for If the null hypothesis is rejected at a level of significance of 5%, then in some cases, it could be accepted at a level of significance of 1%. We then specify a significance level, and calculate the test statistic. 1 Answer to Questions A. The null hypothesis for an experiment to investigate this is “The mean adult body temperature for healthy individuals is 98.6 degrees Fahrenheit.” If we fail to reject the null hypothesis, then our working hypothesis remains that the average adult who is healthy has a temperature of 98.6 degrees. Figure 3: Rejection region approach For example, in the sample hypothesis if the sample size is 50 and the significance level of the study is 5% then the critical value for the given two-tailed test would be 1.960. Since these decisions are based on probabilities, there is always a risk of making the wrong conclusion. Visually, the … If the test statistic is more extreme as compared to the critical value, then the null hypothesis would be rejected. Here is a memory tool useful for interpreting the P-value: If the P is low, the null must go. If the collected data supports the alternative hypothesis, then the null hypothesis can be rejected as false. And, if the P-value is greater than \(\alpha\), then the null hypothesis is not rejected. We do not prove that this is true. Suppose that you do a hypothesis test. If the P-value is less than (or equal to) \(\alpha\), then the null hypothesis is rejected in favor of the alternative hypothesis. Why is a hypothesis supported or rejected, rather than being proven true or false? In this case the null hypothesis is rejected and an alternative hypothesis is accepted in its place. That is, we would reject the null hypothesis H 0: μ = 3 in favor of the alternative hypothesis H A: μ ≠ 3 if the test statistic t* is less than -2.1448 or greater than 2.1448. Then we determine if it is a one-tailed or a two tailed test. If the P is high, the null will be plausible. A null hypothesis is rejected if the observed (sample) data is significantly unlikely if the null hypothesis were true. Remember that the decision to reject the null hypothesis (H 0) or fail to reject it can be based on the p-value and your chosen significance level (also called α).If the p-value is less than or equal to α, you reject H 0; if it is greater than α, you fail to reject H 0. Now we calculate the critical value. A decision rule is the rule based on which the null hypothesis is rejected or not rejected. C. What gas did you find to be in the … Then, you decide whether the null hypothesis can be rejected based on your data and the results of a statistical test. We first state the hypothesis. B. However, if the data does not support the alternative hypothesis, this does not mean that the null hypothesis is true. Specifically, the four steps involved in using the P-value approach to conducting any hypothesis … Is an experiment considered to be a failure if the hypothesis is not supported? All it means is that the null hypothesis has not been disproven—hence the term "failure to reject."

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