The article "Evaluation of Criteria for Setting Speed Limits on Gravel Roads" (S. Dissanayake, Journal of Transportation Engineering, 2011:57-63) measured speeds of vehicles on several roads in the state of Kansas. On South Cedar Niles, 73 vehicles were observed, and 49 of them were exceeding the speed limit. Can you conclude that more than half of the vehicles on South Cedar Niles exceed the speed limit?

The proportion of vehicles on South Cedar Nile that exceeds the speed limit is more than 0.50.

Step-by-step explanation:

A single proportion z test can be applied to test whether more than half of the vehicles on South Cedar Nile exceed the speed limit.

The hypothesis can be defined as:

H₀: The proportion of vehicles on South Cedar Nile that exceeds the speed limit is 0.50, i.e. p = 0.50.

Hₐ: The proportion of vehicles on South Cedar Nile that exceeds the speed limit is more than 0.50, i.e. p > 0.50.

The information provided is:

X = number of vehicles that exceeds the speed limit = 49

n = 73

Compute the sample proportion value as follows:

The test statistic is:

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

The commonly used significance level are:

α = 0.01, 0.05 and 0.10

Compute the p-value of the test as follows:

The p-value of the test is very small.

It will be less than any significance level.

So the null hypothesis will be rejected.

Conclusion:

As the null hypothesis is rejected it can be concluded that the proportion of vehicles on South Cedar Nile that exceeds the speed limit is more than 0.50.

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step-by-step explanation:

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights