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Hypothesis of Right-Tailed Test and Significance

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In Utica, Michigan, 205 of 226 school buses passed the annual safety inspection. In Detroit,
Michigan, only 151 of 296 buses passed the inspection. (a) State the hypotheses for a right-tailed test.
(b) Obtain a test statistic and p-value. (c) Is normality assured? (d) If significant, is the difference also
large enough to be important? (Data are from Detroit Free Press, August 19, 2000, p. 8A.)

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The hypothesis of a right-tailed test and significance. The test statistic and p-value are calculated.

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(a) State the hypotheses for a right-tailed test. (b) Obtain a test statistic and p-value
(c) Is normality assured? d) If significant, is the difference also large enough to be important?

Large Sample Hypothesis Test for the Difference in Proportions

Let X be the number of success in n1 independent and identically distributed Bernoulli trials, i.e., X ~ Binomial(n1, p1)
Let Y be the number of success in n2 independent and identically distributed Bernoulli trials, i.e., Y ~ Binomial(n2, p2) ...

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