Question 1026706
On January 5-6, 2010, USA Today conducted a poll of 542 adults to learn what proportion of airline travelers approved of using full-body scanners (USA Today, January 11, 2010). The poll results showed that 455 of the respondents felt that full-body scanners will improve airline security and 423 indicated that they approved of using the devices. 
a) Conduct a hypothesis test to determine if the results of the poll justify concluding that over 80% of airline travelers feel that the use of full-body scanners will improve airline security. Use α = 0.05.
Ho: p <= 0.8
Ha: p > 0.8 (claim)
sample proportion:: 423/455 = 0.84
z(0.84) = (0.84-0.80)/sqrt[0.8*0.2/542] = 2.3281
p-value = P(z > 2.3281) = normalcdf(2.3281,100) = 0.0099
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Since the p-value is less than 5%, reject Ho.
The test results support the claim that p > 80%
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b) Suppose the TSA will go forward with the installation and mandatory use of full-body scanners if over 75% of airline travelers approve of using the devices. You have been told to conduct a statistical analysis using the poll results to determine if the TSA should require mandatory use of the full-body scanners. Because this is viewed as a very sensitive decision, use &#945; = 0.01. What is your recommendation? 
Since the p-value rounds to 1% you should do more testing
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Cheers,
Stan H.
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