Part V. Complete the following (30 Points): Sociologists want to test whether th

Question

Part V. Complete the following (30 Points): Sociologists want to test whether the number of homeless people in a particular urban area increasing. In 2010, the average number of homeless people per day who sought shelter was 42.3 (-62) based on a sample of 25 people surveyed. Data the mean number of people seeking shelter per day is 45.3. Test at the 1% level. is from the current year reveal that 1. What is Ho? 2. What is Hi? 3. What is the critical value of t? 4. What is the calculated value of t? 5. What is the p-value? 6. What is our decision?

Explanation / Answer

1) H0 : u = 45.3

2) H1 : u > 45.3

3) T critical value = 2.797 on 24 df at 1% level

4) T statistic = xbar - µ /(s/n)

                 = 42.3 - 45.3 / [6.2/(25)] = -2.42

5) p value = p [T > -2.42] = 0.9883

6) Fail to reject H0

we conclude that there is no sufficient evidence of alternative hypothesis

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