Answered: Set up null and alternative hypotheses…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

a. Set up null and alternative hypotheses to try to determine whether there is a difference in ad impact between general TV viewing and VOD viewing.

Conduct the hypothesis test defined in (a), using the 0.05 level of significance.

Transcribed Image Text:### TV vs. VOD Ad Effectiveness This study analyzes the effectiveness of advertisements between two audiences: those who watch general TV and those using Video on Demand (VOD) services. The research focuses on whether these ads make viewers more inclined to visit a brand's website. #### Data Table | Viewing Audience | Made Me Want to Visit the Brand Website | | |--------------------|-----------------------------------------|-----------| | | Yes | No | | General TV | 36 | 160 | | Video on Demand | 136 | 97 | The table above shows the number of viewers from each audience type who reported being motivated to visit a brand's website after seeing an ad. #### Hypotheses The research includes several hypotheses regarding the ad effectiveness: 1. **H0: π1 ≠ π2** - The proportions of motivated viewers are not equal between the two groups. 2. **H1: π1 = π2** - The proportions of motivated viewers are equal between the two groups. 3. **H0: π1 < π2** - The proportion of motivated viewers is less in the first group. 4. **H1: π1 ≥ π2** - The proportion of motivated viewers is equal to or greater in the first group. 5. **H0: π1 ≠ π2** - (Identical to the first hypothesis) 6. **H1: π1 > π2** - The proportion of motivated viewers is greater in the first group. #### Chi-Square Statistic A chi-square statistic (χ²) is calculated to test the hypothesis of difference in ad effectiveness. Enter the value rounded to three decimal places as needed. There are options at the bottom of the page to print the data or indicate completion of the analysis, with buttons for clearing entries and checking the answer. For further understanding, you can view an example or get more help using the provided options.

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