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Chapter 9: Q.16 (page 547)
Asked to explain the meaning of 鈥渟tatistically significant at the A 0.05 level,鈥� a
student says, 鈥淭his means that the probability that the null hypothesis is true is less than 0.05.鈥� Is this explanation correct? Why or why not?
The explanation is incorrect
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Refer to Exercise 2. For Yvonne's survey, 96 students in the sample said they rarely or never argue with friends. A significance test yields a P-value of 0.0291.
(a) Interpret this result in context.
(b) Do the data provide convincing evidence against the null hypothesis? Explain.
A change is made that should improve student satisfaction with the parking situation at your school. Right now, 37% of students approve of the parking that鈥檚 provided. The null hypothesis is tested against the alternative.
Anemia Hemoglobin is a protein in red blood cells that carries oxygen from the lungs to body tissues. People with fewer than grams of hemoglobin per deciliter of blood are anemic. A public health official in Jordan suspects that Jordanian children are at risk of anemia. He measures a random sample of children. Check the conditions for carrying out a significance test of the official鈥檚 suspicion.
Describe a Type I error in this setting.
For the job satisfaction study described in Section 9.1, the hypotheses are
where is the mean difference in job satisfaction scores (self-paced - machine-paced) in the population of assembly-line workers at the company? Data from a random sample of workers gave and
Use Table B to find the P-value. What conclusion would you draw?
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