Hypothesis Testing Typically Begins With A Theory, A Claim,

Hypothesis Testing Typically Begins With A Theory A Claim Or An Asse

Hypothesis testing typically begins with a theory, a claim, or an assertion about a particular parameter (mean or proportion) of a population. The Federal Trade Commission (FTC) is an independent agency of the U.S. federal government charged with preventing unfair or deceptive trade practices. It regulates advertising, marketing, and consumer credit practices, and also prevents antitrust agreements and other unfair practices. The FTC publishes press releases regularly about health and fitness claims at Health and Fitness Claims. Retrieved from Find a claim about a product or service from one of the press releases listed in the FTC website.

Read through these and select one of interest to you that has not been picked by anyone else yet in class. Initial Response: Formulating the Hypothesis Summarize the advertising claim as shared in the media. What population parameter is the claim about? (Hint: Focus on a population mean or proportion, such as the mean weight of a cereal box, or the proportion of fast-food orders filled correctly.) If you were to formulate a hypothesis test about this product/service, what would your null and alternative hypothesis be? (Be sure to use all the correct notations for Ho and Ha.) State whether you have a one-tailed or two-tailed test (Be sure you use the correct inequality signs). SAMPLE POST FOR GUIDANCE: 1) On May 24, 2016:Mosquito Shield Bands (made by Viatek Consumer Products Group) is a bracelet that contains mint oil and promises to protect people from mosquito bites for up to 120 hours.

Viatek claims that Mosquito Shield Bands create a “vapor barrier" that can shield anyone within five feet for 96 to 120 hours. They are claiming that the mean time for people to be protected from mosquitos is between hours. The population parameter is population mean, μ. 2) Null hypothesis, H₀: μ = 96 hours Alternate hypothesis, H₁: μ

Paper For Above instruction

For this assignment, I have selected a recent health and fitness claim issued by the Federal Trade Commission (FTC) regarding a dietary supplement advertised to improve cognitive function. The claim states that "taking BrainBoost daily enhances memory and focus within two weeks." The specific population parameter this claim pertains to is the population mean improvement in memory and focus scores, measured through standardized testing, among users of the supplement. My goal is to formulate hypotheses to test whether this claim holds statistically significant evidence based on sample data.

Before establishing hypotheses, it is important to understand the claim thoroughly. The advertisement suggests that, on average, individuals who take BrainBoost will experience measurable improvements in their cognitive scores within a 14-day period. This implies that the parameter in question is the population mean difference in scores pre- and post-intervention, denoted as μ. The null hypothesis typically states that there is no effect or difference, while the alternative indicates the presence of an effect in favor of the claim.

Therefore, the null hypothesis (H₀) would posit that the mean improvement in scores is zero, indicating no change due to the supplement. Mathematically, H₀: μ = 0. Conversely, because the claim asserts an enhancement in memory and focus within two weeks, the alternative hypothesis (H₁) should test whether the mean improvement is greater than zero, reflecting a positive effect. This would be represented as H₁: μ > 0.

Given the nature of the claim—that the supplement enhances memory and focus—the hypothesis test is one-tailed, specifically right-tailed. The test investigates whether the mean improvement exceeds zero, corresponding to the inequality H₁: μ > 0, with the null hypothesis set as H₀: μ = 0. The critical region would be on the right tail of the sampling distribution, using appropriate significance levels (e.g., α = 0.05).

In conducting this hypothesis test, researchers would collect a sample of individuals using BrainBoost, measure their cognitive scores before and after two weeks, compute the sample mean difference, and perform a t-test for the mean difference. If the test statistic falls into the critical region, the null hypothesis would be rejected, providing statistical evidence to support the advertising claim that BrainBoost improves memory and focus within two weeks.

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