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7. Conduct a hypolhcsis test showing all of your steps. Several years ago in a random sample of 3407 college bound students. 395 said they plan to study engineering. Last year, a random sample of 279l future college students had 286 that plan to study engineering. Can you claim the proportion of the college bound students that plan to go into engineering is still the same? Test this claim with an 8% level of signicance. a) State the hypotheses and label the claim. b) Is the test left-tailed, right-tailed, or two-tailed (circle one)? c) What is/are the critical value(s)? Draw a picture. d) What is the P-value and test-statistic? e) State the conclusion. Give two reasons for your decision to rejectot reject Ho based on: 1) Test statistic compared to critical value 2) P-value compared to (I Then, relate back to the original claim