Results from previous studies showed 79% of all high school seniors from a certa

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.