Question

7/20/2020 Section 11.18 112-3470250 SUM20. section 701, Summer 1 2020 | WebAssign 6. (-19 Points] DETAILS PECKSTATLO1 15.2.L0.004.DS. MY NOTES PRACTICE ANOTHER Do males and females have the same distribution of mode of transportation on a Saturday night? Suppose that 450 randomly selected people at a club are asked about how they plan to get home-drive, drive with a friend, take public transit, or take a cab. Use a level of significance of a = 0.05. Drive Public Transit Cab Total Male 72 85 48 205 Female 91 66 88 245 Total 163 151 136 450 (a) What are the expected values? (Round your answers to three decimal places.) Drive Public Transit Cab Male Female (b) Calculate the y? test statistic and P-value. (Use technology. Round your answer for the xa test statistic to two decimal places and the P-value to four decimal places.) x2 test statistic P-value (c) What is the appropriate conclusion? O Fail to reject He because P-value < 0.05. Fail to reject He because P-value > 0.05. O Reject He because P-value < 0.05. Reject Hy because P-value > 0.05. 6/10

Answer 1

(a) The expected values:

	Drive	Public Transit	Cab
Male	74.256	68.789	61.956
Female	88.744	82.211	74.044

(b) The χ^{​​​​​​2} test statistic and P-value:

χ^{​​​​​​2} test statistic = 12.92

P-value = 0.0016

(c) The appropriate conclusion:

Reject H_{​​​​​​0}. Because P-value < 0.05.

>> STATISTICAL OUTPUTS:

Actual Values:
72 85 48
91 66 88

Expected Values:
74.2556 68.7889 61.9556
88.7444 82.2111 74.0444

Chi-Squared Values:
0.0685138 3.82039 3.1435
0.0573279 3.19665 2.63028

Chi-Square = 12.9167

Degrees of Freedom = 2

P-value = 0.00156741