3. Open Roof or Closed Roof? In a recent World Series, the Houston Astros wanted to close the roof on their domed stadium so that fans could make noise and give the team an advantage at home. However, the Astros were ordered to keep the roof open unless weather conditions justified closing it. But does the closed roof really help the Astros? The table below shows the results from home games during the season leading up to the World Series. Use a 0.05 significance level to conduct a Chi-Square Test for Association. Is there sufficient evidence to show that there is a relationship between wins and the open/closed status of the roof? Win Loss Closed Roof 36 17 Open Roof 15 11 Hypothesis: Test Statistic and value: P-value or critical value: Conclusion:
Perform hypothesis tests for each of the following scenarios. You may use Excel, or TI-83 or TI-84
calculator to compute your results.
Please label the test statistic you found (t value, z value, or Chi square) and the value. For the conclusion
please state fail to reject or reject the null hypothesis in a complete sentence as practiced in Hawkes.
You may work in pairs.
You will earn points for each part by correctly stating the Hypothesis, the test statistic, its value, the p value, and the conclusion.
- A certain drug is used to treat asthma. In a clinical trial of the drug, 26 of 297 treated subjects
experienced headaches (based on data from the manufacturer). It is claimed that less than 11% of
treated subjects experienced headaches. Assume that the population distribution is approximately
normal. Assume a .05 significance level.
Hypothesis:
Test statistic and value: P-value:
Conclusion:
2. A simple random sample of 39 men from a
deviation of 10.1 beats per minute. The normal
100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard
deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim
that pulse rates of men have a standard deviation equal to 10 beats per minute.
Hypothesis:
Test Statistic and value: P-value:
Conclusion:
4. A smartphone carrier’s data at airports was collected. The smartphone carrier wants to test the
claim the average speed is less than 5.00 Mbps. Use a .05 significance level. Assume the population
is normally distributed. The sample mean is 4.42 and the sample standard deviation is 1.85. The
sample size is 40.
Hypothesis:
Test Statistic and value: p value:
Conclusion:
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