Question
Researchers wanted to test the hypothesis that living in the country is better for your lungs than living in a city. To eliminate the possible
Researchers wanted to test the hypothesis that living in the country is better for your lungs than living in a city. To eliminate the possible variation due to genetic differences, they located seven pairs of identical twins with one member of each twin living in the country, the other in a city. For each person, they measured the percentage of inhaled tracer particles remaining in the lungs after one hour: the higher the percentage, the less healthy the lungs. They found that for six of the seven twin pairs, the one living in the country had healthier lungs.
- Is the alternative hypothesis one-sided or two-sided?
- Based on the sample size and distance between null value and observed proportion, estimate the strength of evidence as inconclusive, weak but suggestive, moderately strong, strong, or overwhelming.
- Use the probabilities for the number of heads in seven tosses of a fair coin given below to compute the -value and state a conclusion.
Number of heads: | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Probability | 0.0078 | 0.0547 | 0.1641 | 0.2734 | 0.2734 | 0.1641 | 0.0547 | 0.0078 |
- The -value is to four decimal places.
- Based on this -value, the strength of evidence against the null hypothesis is .
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