Fox TV is considering replacing one of its prime-time crime investigative shows with a new family-oriented sitcom. Before making a final decision, executives study a sample of 400 viewers. After watching the sitcom, 250 said they would watch it and suggested replacing the crime investigation show.
To analyze the results and decide whether to replace the crime investigative show with a new family-oriented sitcom, let's calculate the proportion of viewers who would watch the sitcom based on the sample data.
Out of the 400 viewers, 250 said they would watch the sitcom.
Proportion of viewers who would watch the sitcom = Number of viewers who would watch the sitcom / Total number of viewers
Proportion = 250 / 400
Proportion = 0.625
The proportion of viewers who said they would watch the sitcom is 0.625 or 62.5%.
Based on this sample data, Fox TV can consider replacing the crime investigative show with the new family-oriented sitcom as almost two-thirds of the viewers surveyed expressed interest in watching it. However, it is important to note that this decision should consider additional factors like potential ratings, audience preferences, and market trends.
To calculate the percentage of viewers who said they would watch the sitcom and suggested replacing the crime investigation show, follow these steps:
Step 1: Determine the number of viewers who said they would watch the sitcom and suggested replacing the crime investigation show. In this case, it is given that 250 viewers said they would watch it and suggested replacing the crime investigation show.
Step 2: Calculate the percentage by dividing the number of viewers who said they would watch the sitcom and suggested replacing the crime investigation show by the total sample size and multiplying by 100.
Percentage = (Number of viewers who said they would watch the sitcom and suggested replacing the crime investigation show / Total sample size) * 100
Percentage = (250 / 400) * 100
Step 3: Simplify the calculation.
Percentage = 0.625 * 100
Step 4: Calculate the final result.
Percentage = 62.5%
Therefore, 62.5% of the viewers in the sample said they would watch the sitcom and suggested replacing the crime investigation show.