Question 927316: In an article published last year, the Federal Transportation Department claimed that Southwest Airlines suffers from a 7% rate of no-shows. That is, the article claimed that 7% of the people who make reservations for Southwest Airlines flights don’t show-up. Whether this is the result of forgetfulness, not getting to the airport on-time, or one of many other reasons is not known, but empty seats on their flights is something Southwest Airlines wants to minimize.
Six months ago, a new procedure was instituted whereby reservations on Southwest Airlines flights are confirmed via a text, an email, and a voice mail on the day preceding the actual flight. A study is then made of 5218 randomly selected reservations made under the new system. If 338 no-shows are recorded, does the new system seem to have resulted in a lower no-show rate than the one published in last year’s Federal Transportation report?
Include each of the following in your analysis: 1) a symbolic statement of the null and alternative hypotheses, 2) a symbolic statement comprised of the correct mathematical symbols depicting the specific probability of an even that the P-value represents, 3) a justification of the shape of any distribution you use, 4) the calculator function (plus the values you’re entering into that function) you’re using to get the requested value, 5) the level of significance, α, that you are choosing to perform your hypothesis test with, 6) a statement conveying whether-or-not there is enough evidence to reject the null hypothesis, and 7) a context-based complete, narrative, plain-English sentence that answers the question that was asked(this sentence must not contain statistical jargon such as “fail to reject the null hypothesis” or “accept the alternative hypothesis,” for example).
>>>I tried reading through this problem and just got really overwhelmed with what was needed and how to execute everything accurately.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In an article published last year, the Federal Transportation Department claimed that Southwest Airlines suffers from a 7% rate of no-shows. That is, the article claimed that 7% of the people who make reservations for Southwest
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Six months ago, a new procedure was instituted whereby reservations on Southwest Airlines flights are confirmed via a text, an email, and a voice mail on the day preceding the actual flight. A study is then made of 5218 randomly selected reservations made under the new system. If 338 no-shows are recorded, does the new system seem to have resulted in a lower no-show rate than the one published in last year’s Federal Transportation report?
Sample proportion:: p-hat = 338/5218 = 0.065
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Include each of the following in your analysis: 1) a symbolic statement of the null and alternative hypotheses,
Ho: p >= 0.07
Ha: p < 0.07 (claim)
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2) a symbolic statement comprised of the correct mathematical symbols depicting the specific probability of an event that the P-value represents
z(0.065) = (0.065-0.07)/sqrt[0.07*0.93/5218] = -1.416
p-value = P(z < -1.416) = 0.078
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3) a justification of the shape of any distribution you use,
ribution
normal distribution
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4) the calculator function (plus the values you’re entering into that function) you’re using to get the requested value,
normalcdf(-100,-1.416)
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5) the level of significance, α, that you are choosing to perform your hypothesis test with,
alpha = 5%
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6) a statement conveying whether-or-not there is enough evidence to reject the null hypothesis, and
Since the p-value is greater than the p-value, fail to reject Ho.
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7) a context-based complete, narrative, plain-English sentence that answers the question that was asked(this sentence must not contain statistical jargon such as “fail to reject the null hypothesis” or “accept the alternative hypothesis,” for example).
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an H.
The test results do not support the claim that p < 7%
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Cheers,
Stan H.
St
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