Despite claims from the company that Uber is \'finding better ways for cities to

Question

Despite claims from the company that Uber is 'finding better ways for cities to move, work, and thrive', many Ameri hail rides. According to a survey conducted during the fall of 2015 by the Pew Research Center, 33% of Americans had not even heard of ride-hailing apps and only 15% of the Americans surveyed had actually used a ride-hailing app like Uber ans are still seemingly unsure about utilizing such an app to In Fayetteville, usage of the Uber ride-hailing app might even be lower. A randomly selected group of 234 Fayetteville residents showed that only 28 of them had actually used the Uber ride-hailing app. Use a 0.05 significance level to test the claim that less than 15% of Fayetteville residents have actually used the Uber ride-hailing app The correct StatCrunch output for the statistical test is provided below in an abbreviated form. Using the output, indicate the following using proper notation Proportion Count Total Sample Prop.Std. Err. Z-Stat P-value 28 234 0.11965812 0.023342489-1.2998563 0.0968 a. Hypotheses H b. Sample Proportion c. Test Statistic d·P-Value Initial Conclusion in terms of Ho (i.e."Reject, Ho or ‘Fail to Reject, Ho) f. Provide a formal conclusion, in one to two complete sentences, that addresses the original claim (i.e. what can we say about the percentage of Fayetteville residents that have actually used the Uber ride-hailing app?) g. Describe in one to two complete sentences what a Type I Error would be in this setting.

Explanation / Answer

SolutionA:

Ho:p=15%=0.15

where p=population proportion of Fayetville residents usinga rdie hailing bike like uber

H1:p<0.15

Solutionb:

sample prportion=p^=0.11965812

Solutionc;

Z=-1.2998563

Solutiond:

p=0.0968

Solutione:

alpha=0.05 (given)

p=0.0968

p>alpha

0.0968>0.05

Fail to Reject Null hypothesis

Solutionf:

conclusion:

there is no sufficient statistical evidence at 5% level of significance to conclude that population proportion of Fayetville residents usinga rdie hailing bike like uber is less than 15%.

Solutiong:

type 1 error is incorrect rejection of a true null hypothesis.

the alpha symbol usually alpha,used to denote atype 1 error.

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