<h2>Answer with explanation:</h2>
Let p be the population proportion.
Then, Null hypothesis :
Alternative hypothesis :
Since the alternative hypothesis is right tailed , then the hypothesis test is a right tailed test.
Given : A random sample of 200 high school seniors from this city reveals that 162 plan to attend college.
i.e. n = 200 > 30 , so we use z-test (otherwise we use t-test.)
Test statistic for population proportion :
Thus, the z-value of the sample test-statistic = 0.72
P-value for right tailed test =
Since the p-value is greater than the significance level (0.05) , so we fail to reject the null hypothesis.
Hence, we conclude that we do not have sufficient evidence to support the claim that the percentage has increased from that of previous studies.