Question

Need Hep

5) (20 points) Perform the following Hypothesis Test. Include all applicable information (State, Plan, Do, and Conclude). In a Privacy Filters poll, 812 adults were randomly asked to identify their favorite seat when they fly. and 423 of them chose the window seat. Use the 0.01 significance level to test the claim that more than 50% of adults prefer window seats when they fly.

Answer 1

Solution :- Given :- Population Proportion (P)= 0.5 Sample size (n) = 812 No of Favourable casel X) = 423 Significance level ( a ) = 0.01 Sample Proportion ()= x/n = 423 / 812 = 0.5209 Hypothesis :- Ho: P = 0.5 Ha:P> 0.5 Test Statistic:- Z= (-P)/V(P*(1-P)/n) (0.5209 -0.5) /v (0.5*(1-0.5) / 812) Z= 1.19

P-value:- By Using Standard Normal table, P(Z> 1.19 ) = 1-P (Z< 1.19 ) P(Z > 1.19 ) = 1 - 0.8830 P(Z > 1.19 ) = 0.1170 P-value = 0.1170 Decision :- Since P-value (0.1170) > a(0.01 ) Fail to Reject Ho Conclusion :- Therefore there is not Enough evidence to claim that more than 50 % of adults prefer window seat when they fly.