Email Campaign Open Rate Analysis

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EMAIL CAMPAIGN OPEN RATE ANALYSIS
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Sample Data:
  Emails sent: 3,200
  Opens: 847
  Sample open rate: 26.5%

Confidence Interval (Wilson Score Method):
  95% CI: (25.0%, 28.0%)
  Margin of error: ±1.5%
  Standard error: 0.0078

Visualization saved: email_open_rate_ci.png

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INTERPRETATION
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Based on 847 opens from 3,200 emails sent, your campaign achieved a
26.5% open rate.

CONFIDENCE INTERVAL:
We are 95% confident that the true open rate for this campaign (if sent
to the entire population) falls between 25.0% and 28.0%.

WHAT THIS MEANS:
• If you repeated this campaign 100 times, approximately 95 of those
  confidence intervals would contain the true open rate
• The margin of error is ±1.5%, indicating good precision with
  this sample size
• Your open rate is substantially above the industry average (~20%)

PRACTICAL IMPLICATIONS:
• Your campaign is performing 1.3x better than typical email
  marketing benchmarks
• Even the conservative lower bound (25.0%) exceeds industry
  standards by 25%
• This level of engagement suggests strong subject lines, audience
  targeting, and/or email deliverability

BUSINESS RECOMMENDATIONS:
1. REPLICATE SUCCESS: Analyze what made this campaign effective
   - Subject line approach
   - Send time and day
   - Audience segmentation
   - Email design/content

2. SCALE WITH CONFIDENCE: Your sample size (3,200) provides reliable
   estimates. You can confidently apply these learnings to larger sends.

3. OPTIMIZE FURTHER: While performance is strong, there's still room
   to improve toward the upper bound (28.0%). Consider:
   - A/B testing subject lines
   - Personalization experiments
   - Send time optimization

4. MONITOR TRENDS: Track whether future campaigns maintain this
   performance level. Regression toward the mean is possible.

5. MOVE TO CLICK-THROUGH: With strong open rates, focus optimization
   efforts on click-through rates and conversions to maximize ROI.

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