8.1 The logic of hypothesis testing Hypothesis testing is a statistical procedure that allows researchers to use sample data to draw inferences about the population of interest. Hypothesis testing procedure: 1. State a hypothesis about a population. Usually the hypothesis concerns the value of a population parameter. 2. Use the hypothesis to predict the characteristics that the sample should have. 3. Obtain a random sample from the population. 4. Compare the obtained sample data with…
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Course Project Part B a. the average (mean) annual income was less than $50,000 Null and Alternative Hypothesis H0: mu= 50 (in thousands) Ha: mu<50 (in thousands) Level of Significance Level of Significance = .05 Test Statistic, Critical Value, and Decision Rule Since alpha = .05, z<-1.645, which is lower tailed Rejection region is, z<-1.645 Calculate test statistic, x-bar=43.74 and s=14.64 Z=(43.74-50)/2.070=-3.024 2.070 is calculated by: s/sq-root of…
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Research Results: Statistical Inference (modified on March 18) The dominant method of inference in psychology is statistical testing (also called hypothesis testing; null hypothesis statistical testing). This involves stating a pair of competing hypotheses about Reality, collecting relevant data, and using the data to make a choice between the two competing hypotheses. This choice is called a “statistical decision”. Statistical decision-making, which involves the possibility of incorrect decisions…
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unwilling to take any big risk. Such an action of setting the alpha at .05 makes it nearly impossible to reject the null hypothesis by means of hypothesis testing except when it is on the extreme. When alpha (α) =0.05 its means that P (type I error) = 0.05, therefore rejecting Ho reason being that Ho true is 0.05. In simple terms, we determine the dissimilarity between the null hypothesis and the results of the experiment. The researcher moves on to compute the probability of a difference, whether large…
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03-27-2013 A PRIMER ON HYPOTHESIS TESTING FOR MEANS Wanting to have as small a carbon footprint as possible, your best friend Sam Quint owns a Toyota Prius. Quint claims that the average gas mileage of all the Priora in the world is µ = 37 miles per gallon (MPG). (Note: according to The Boston Globe, the plural form of “Prius” is “Priora.”) You believe this figure is likely true since, along with being an expert on large sharks and fishing boats that could be bigger, Quint is reasonably…
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population parameter to occur, we will conduct a test of hypothesis regarding the validity of a statement about a population parameter. Two statements called hypotheses are made regarding the possible values of population parameters. What is a Hypothesis? A hypothesis is a statement about a population. Hypothesis: A statement about a population parameter subject to verification. In statistical analysis we make a claim, that is, state a hypothesis, and then follow up with tests to verify the assertion…
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“Hypothesis testing is one of the fundamental concepts in both scientific research and business decision-making. It involves establishing a hypothesis (or guess!) about the outcome of an event or experiment and then gathering evidence (data) to make a decision on whether the hypothesis should be accepted or rejected” (Colorado Technical University Online, 2010a). Null Hypothesis – H0 “The null hypothesis is the statement being tested. Often, the null hypothesis is a statement of ‘no difference’…
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One Sample Hypothesis Testing Paper Do Major League Baseball teams with higher salaries win more frequently than other teams? Although many people believe that the larger payroll budgets win games, which point does vary, depending on the situation. “…performances by individual players vary quite a bit from year to year, preventing owners from guaranteeing success on the field. Team spending is certainly a component in winning, but no team can buy a championship.” (Bradbury). For some, it’s hard…
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They hired a researcher to investigate this issue. Write a null and alternative hypothesis for this study. Null hypothesis H0: The sugar levels in the soft drink do not exceed the levels that are acceptable. Alternative hypothesis H1: The sugar levels are different than what is acceptable, either by being too high or too low. Explain in words what a Type 1 error would mean in this situation. A type 1 error can occur if the null hypothesis is rejected. This means that the probability indicates that…
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Hypothesis testing A hypothesis is a tentative explanation that accounts for a set of facts and can be tested by further investigations. The purpose of testing hypothesis is to assist researchers in making decisions. Quantitative research is well suited for the testing of these hypotheses, most common in experimental designs. In hypothesis testing, the researcher should define the population, state the hypotheses to be tested, specify the significance level, select a sample from the population,…
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