The director of a university placement office claimed that 50% of the graduating seniors had finalized job arrangements by May 1. Suppose a random sample of 30 seniors was polled, and only 10 of the students indicated that they had concluded their job arrangements by May 1. The appropriate hypotheses to test the director's claim are:

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Chapter11: Data Analysis And Probability
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QUESTION 1
The director of a university placement office claimed that 50% of the graduating seniors had finalized job arrangements by
May 1. Suppose a random sample of 30 seniors was polled, and only 10 of the students indicated that they had concluded
their job arrangements by May 1. The appropriate hypotheses to test the director's claim are:
O Ho: H = 0.50 vs H1: 0.50
O Ho: ps 0.50 vs H1: p>0.50
O Ho: p 2 0.50 vs H1: p < 0.50
O Ho: p = 0.50 vs H1:p * 0.50
QUESTION 2
A local online grocery shop advertises that it will deliver any order in Dubai in less than 60 minutes on average. The
marketing department is interested in testing the legitimacy of their advertiserment. They have used a z-test based on a
sample of 40 past orders and found a test statistic of -2.7. Find the p-value for this test. Round your answer to three
decimal places.
QUESTION 3
To check the efficiency of remote teaching, one professor from the Department of Statistics performed a two tails test. He
was interested in the average time of classes missed by students. He selected a sample of 25 students and found a test
statistic of 1.5. Assuming that the population is normally distributed, find the p-value of the test. Round your answer to
three decimal places.
Transcribed Image Text:QUESTION 1 The director of a university placement office claimed that 50% of the graduating seniors had finalized job arrangements by May 1. Suppose a random sample of 30 seniors was polled, and only 10 of the students indicated that they had concluded their job arrangements by May 1. The appropriate hypotheses to test the director's claim are: O Ho: H = 0.50 vs H1: 0.50 O Ho: ps 0.50 vs H1: p>0.50 O Ho: p 2 0.50 vs H1: p < 0.50 O Ho: p = 0.50 vs H1:p * 0.50 QUESTION 2 A local online grocery shop advertises that it will deliver any order in Dubai in less than 60 minutes on average. The marketing department is interested in testing the legitimacy of their advertiserment. They have used a z-test based on a sample of 40 past orders and found a test statistic of -2.7. Find the p-value for this test. Round your answer to three decimal places. QUESTION 3 To check the efficiency of remote teaching, one professor from the Department of Statistics performed a two tails test. He was interested in the average time of classes missed by students. He selected a sample of 25 students and found a test statistic of 1.5. Assuming that the population is normally distributed, find the p-value of the test. Round your answer to three decimal places.
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