In: Statistics and Probability
QUESTION 7
In a study of 420,095 Danish cell phone users, 135 subjects developed cancer of the brain or nervous system (based on data from the Journal of the National Cancer Institute as reported by US Today). The claim is that cell phone users develop cancer of the brain or nervous system at a rate that is greater than the rate of 0.034% (0.00034) for people that do not use cell phones.
Use this information to answer this question and the next five (5) questions.
The 95% confidence interval for the true population proportion of cell phone users who develop brain or nervous system cancers is (lower confidence limit bound, upper confidence limit bound ).
QUESTION 8
What can you conclude by comparing the 95% Confidence Interval and the rate of cancer of the brain or nervous system for non-cell phone users? Justify your answer.
QUESTION 9
In performing a formal test of hypothesis to determine if the use of cell phones increases the rate development of the brain or nervous system cancers, the form hypotheses are:
Ho: Pu = 0.00034; Ha: Pu ≠ 0.00034 |
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Ho: Pu = 0.00034; Ha: Pu > 0.00034 |
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Ho: Pu > 0.00034; Ha: µ < 0.00034 |
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Ho: Pa = 0.00034; Ha: Pa ≠ 0.00034 |
QUESTION 10
Using the cell phone brain and nervous system cancer rate information from above, find the appropriate critical standard normal z-value for performing the test of hypothesis.
QUESTION 11
Perform the formal test of hypothesis and obtain the z-calc value to see if using cell phones increases the rate of the development of the brain or nervous system cancers using the information from above.
QUESTION 12
Compare z-critical and z-calc and draw the appropriate conclusion for this test of hypothesis. Justify your answer.