Question
Please show a screenshot of excel workbook with formulas. A consumer products firm has recently introduced a new brand. The firm would like to estimate
Please show a screenshot of excel workbook with formulas.
A consumer products firm has recently introduced a new brand. The firm would like to estimate the proportion of people in its target market segment who are aware of the new brand. As part of a larger market research study, it was found that in a sample of 125 randomly selected individuals from the target market segment, 84 individuals were aware of the firm's new brand.
- The manager in charge of the new brand has stated that the brand awareness is greater than 0.65, meaning that more than 65% of the population is aware of the brand. At the 5% significance level, conduct a hypothesis test with the goal of proving his claim.
- Specify the null hypothesis and the alternative hypothesis. Define the parameter of your interest and write the mathematical expressions of your hypotheses in terms of your parameter.
- Use StatTools to conduct the hypothesis test. Copy and paste the report generated by StatTools. You need to create the summary table of the survey data in Excel first; then you can run the analysis.
- Provide the results of the test in "plain English" including the meaning of the p-value.
For future polls, the firm is interested in minimizing their marketing-research costs. The margin of error (MOE) in their pools should be no larger thanB(i.e., 100Bpercentage points). To simplify the analysis, we will assume their marketing study only has a single question that is used to estimate the proportion,pat the 5% confidence level.
2. The firm has prior knowledge thatpwill likely be somewhere between 0.60 and .80 (that is between 60% and 80%). How large should the sample be if they would like toensurethat MOE (=B) is no larger than 0.01 or 1%?
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