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Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.
What is the p-value associated with your test of hypothesis?
Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation.
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A random sample of 200 high school seniors from this city reveals that 162 plan to attend college.
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Does this indicate that the percentage has increased from that of previous studies?
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Test at the 5% level of significance.
Ho: p = 0.79
Ha: p > 0.79
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sample proportion = 162/200 = 0.81
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test stat: z(0.81) = (0.81-0.79)/sqrt(0.79*0.21/200) = 0.6944
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What is the p-value associated with your test of hypothesis?
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p-value = P(z > 0.6844) = 0.2437
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Conclusion: Since the p-value is greater than 5%, fail to reject Ho.
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