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RV Ownership: Hypothesis Testing on Vacation Time

Explore the decision to buy an RV through data collection, analysis, and hypothesis testing during a vacation in August 1990 at a campground. The process involves questioning, gathering data on vehicles at Yellowstone, conducting hypothesis testing, and concluding that less than 50% of people have RVs. A follow-up confidence interval analysis reveals the true proportion of RV owners to be between 6% and 9.6%.

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RV Ownership: Hypothesis Testing on Vacation Time

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  1. Hypothesis Testing on Vacation Time: Aug, 1990 Place: Campground “Can we buy an RV?” “Why?” “Everyone else does!” “Really!?”

  2. Let us collect some data! My Favorite Recipe : • Question • Data • Analysis • Conclusion

  3. Decision Through Data! Question: “Does everyone else have RV’s?” If p>0.5, we will buy an RV! Data: To and from Yellowstone, tallied all vehicles in the opposite direction.

  4. Hypothesis Testing on Vacation Original Data Collection Sheets

  5. Hypothesis Testing on Vacation HO: p = 0.5 HA: p < 0.5 Analysis:x = 67RV’s n = 857vehicles z = -24.7 P-value = 0 Conclusion: There is strong evidence for p<0.5. Less than 50% people have RV’s! $ saved!

  6. Follow Up Confidence Interval to find the true proportion of RV’s:p = ? Analysis:x = 67RV’s n = 857vehicles We want 95% confidence. Conclusion: We are 95% Confident that the true p = (0.078±0.018)! Only 6% to 9.6% people have RV’s! $ saved!

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