Problenn 3. The policy of Using the 0.05 l a regional transit authority is to ad

Question

Problenn 3. The policy of Using the 0.05 l a regional transit authority is to add a bus route if more than 55 percent of the potential commuters indicale wpuild use the particular route. A sample of 70 commuters revealed that 49 would use a proposed route into the downtown evel of significance, determine whether the proposed route satisfies the transit authority's criterion 3. State the appropriate values from the problem a. Population proportion p- b. Sample proportion c. Sample size, n 4. What are the best hypotheses to use to test whether the new route moets the criterion established by the regional transit authority? (a) o P -0.55 H:p 0.55 H,:p=070 HA:p#070 H,: p20.55 H,: p2.326 Reject Ho ifz> 2.576 (c) 2.382 (d) -2.649 Reject Ho ifi> 2.382 Reject Ho ift2.649 6. Which is the best calculation to use in computing the value of the test statistic? (0.70-0.55) -/0.55-0.45 (0.55-0.70) 0.55-0.45 70 (055-070) 0.70-0.30 70 (a) (b) Z 70 (0.70-0.55) 0.55.0.45 70 e)(0.55-0.70) 0.70-0.30 70 If the value of the test statistic is 2.52, what implications should be drawn? (a) There is enough evidence to conclude the proposed route satisfies the transit authority's criterion. (b) There is enough evidence to conclude the proposed route does not satisfy the transit authority's criterion. (c) There is not enough evidence to conclude the proposed route satisfies the transit authority's criterion. (d) There is not enough evidence to conclude the proposed route does not satisfy the transit authority's criterion. 7. 8. True False The transit authority should not add the new bus route.

Explanation / Answer

Ans:

3)

population proportion,p=0.55

sample proportion=49/70=0.7

n=70

4)option e is correct.

5)Option a is correct.

critical z value=2.326

Reject H0,if z>2.326

6)Option a is correct.

z=(0.7-0.55)/sqrt(0.55*0.45/70)

7)z=2.52

As,z>2.326,we reject the null hypothesis.

Option a is correct.

8)False(as proportion is more than 0.55,so should add the new bus route.)

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