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Chapter 22, Part 2. STA 200 Summer I 2011. Example 3. A supplier of tree seedlings advertises that 90% of its seedlings will survive a year when given proper care. A nursery buys 400 seedlings to grow for later sale. After a year, 352 survive.
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Chapter 22, Part 2 STA 200 Summer I 2011
Example 3 • A supplier of tree seedlings advertises that 90% of its seedlings will survive a year when given proper care. • A nursery buys 400 seedlings to grow for later sale. After a year, 352 survive. • Is there significant evidence that less than 90% of the supplier’s seedlings will survive? Use significance level α = .10.
Example 3 (cont.) • Hypotheses: • Sampling Distribution of (assuming H0 is true): • P-value: • Conclusion:
Example 4 • In a Zogby poll, 83% of 1,547 business leaders surveyed believe that a degree earned via an online program is as credible as one earned through a traditional campus-based program. • Is there evidence that p is greater than .80? Use α = .05.
Example 4 (cont.) • Hypotheses: • Sampling Distribution of (assuming H0 is true): • P-value: • Conclusion:
Example 5 • A claim is made that half of all commercially available toothpastes carry an American Dental Association seal verifying effective decay prevention. • In a sample of 46 toothpastes, 20 had an ADA seal. • Is there sufficient evidence that the percentage of toothpastes with the seal is less than 50%? Use .
Example 5 (cont.) • Hypotheses: • Sampling Distribution of (assuming H0 is true): • P-value: • Conclusion:
Example 6 • On 336 of 600 randomly selected farms, the farm operator was also the owner. • Is there evidence that the percentage of farmers who own their own farms is different than 60%? Use significance level .
Example 6 (cont.) • Hypotheses: • Sampling Distribution of (assuming H0 is true): • P-value: • Conclusion:
Example 7 • The claim is made that 50% of all American adults don’t believe secondary school students should be required to learn a foreign language. • In a CBS poll of 1,216 American adults, 47% have this opinion. • Is there evidence that is percentage is different than 50%? Use significance level .
Example 7 (cont.) • Hypotheses: • Sampling Distribution of (assuming H0 is true): • P-value: • Conclusion: