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Problem statement: It was reported that 700 out of 1000 (70%) of scheduled flights nationwide depart...

Problem statement: It was reported that 700 out of 1000 (70%) of scheduled flights nationwide depart on time. Kuya surveyed the flights out of MCO (Orlando) and discovered that 160 out of 200 of its flights departed on time. Is MCO significantly different?

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Math   Statistics-And-Probability   
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Answer #1

H0: p = 0.70

Ha: p 0.70

Sample proportion = 160 / 200 = 0.80

Test statistics

z = - p / sqrt( p (1 - p) / n)

= 0.80 - 0.70 / sqrt( 0.70 * 0.30 / 200)

= 3.09

This is test statistics svalue.

Critical value at 0.05 level are -1.96 , 1.96

Since test statistics falls in rejection region, we have sufficient evidence to reject H0.

We conclude at 0.05 level that we have sufficient evidence to support the claim that MCO is

significantly different.

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