More On The Power For A Different Alternative: One-Si 943526

1more On The Power For A Different Alternativea One Sided Test Of Th

Analyze the power of a one-sided hypothesis test comparing the null hypothesis that μ = 20 with an alternative μ = 35, where the test has a power of 0.60. Determine whether the power for testing μ = 28 would be higher or lower than 0.73, and explain your reasoning.

Consumers can purchase nonprescription medications at food stores, mass merchandise stores, or pharmacies. While about 45% make such purchases at pharmacies, which often charge higher prices, pharmacies remain popular. Examine what factors contribute to the popularity of pharmacies despite higher costs.

A study assessed consumers’ perceptions of overall store performance across three store types—food stores, mass merchandisers, and pharmacies—using a questionnaire covering aspects such as store appearance, knowledgeable staff, and assistance. The performance score was based on 27 questions, with 201 participants randomly selected from the Indianapolis telephone directory. Consider the target population for the study's conclusions, and identify the population about which the researchers can draw definitive conclusions.

Given the sample means and standard deviations for each store type—food stores (18.95), mass merchandisers (32.37), and pharmacies (48.62)—calculate the 95% confidence intervals for the mean performance scores. Assume the population standard deviations are unknown but that the sample standard deviations approximate the population standard deviations, and provide the bounds in decimal form to two decimal places.

Based on the confidence intervals computed earlier, evaluate whether consumers perceive pharmacies to offer higher performance than food stores and mass merchandisers. Support your conclusion with an explanation rooted in the interval estimates.

Explain whether the student's statement that "statistically significant at the α = 0.01 level means there is only a 0.01 probability that the null hypothesis is true" is accurate. Provide a detailed reasoning about the correct interpretation of statistical significance at this alpha level.