Test of hypothesis on proportions, Mathematics

Test Of Hypothesis On Proportions

It follows a similar method to the one for means except that the standard error utilized in this case:

Sp = √(pq/n) 

Z score is computed as, Z = (P - Π)/Sp    

Whereas P = Proportion found in the sample.

            Π - The hypothetical proportion.

Illustration

A member of parliament as MP claims that in his constituency only 50 percent of the total youth population lacks university education. A local media company wanted to ascertain that claim hence they conducted a survey taking a sample of 400 youths, of these 54 percent lacked university education.

Required:

At 5 percent level of significance confirms if the Member of Parliament's claim is wrong.

Solution

Note:   it is a two tailed tests because we wish to test the hypothesis that the hypothesis is different (≠) and not against a specific alternative hypothesis for illustration < less than or > more than.

 

      H0 :  π = 50 percent of all youth in the constituency lack university education.

      H1 :  π ≠ 50 percent of all youth in the constituency lack university education.

Sp = √(pq/n) = √((0.5 * 0.5)/400) = 0.025

      Z = ¦{(.54 - 0.50)/0.025}¦ = 1.6

 

At 5percent level of significance for a two-tailored test the critical value is 1.96 because calculated Z value < tabulated value (1.96).

That is 1.6 < 1.96 we accept the null hypothesis.

Hence the Member of Parliament's claim is accurate.

Posted Date: 2/19/2013 1:37:39 AM | Location : United States







Related Discussions:- Test of hypothesis on proportions, Assignment Help, Ask Question on Test of hypothesis on proportions, Get Answer, Expert's Help, Test of hypothesis on proportions Discussions

Write discussion on Test of hypothesis on proportions
Your posts are moderated
Related Questions
A tent originally sold for $260 and has been marked down to $208. What is the percent of discount? Find out the number of dollars off. $260 - $208 = $52. Further, determine wha

How do you graph a hyperbola?

how to do mathematical proofs

A chemist mixed a solution which was 34% acid with another solution that was 18% acid to generate a 30-ounce solution which was 28% acid. How much of the 34% acid solution did he u

altitude 35000 @ 9:30 9;42 alt 17500 increase speed by factor of 3 level out at 2500= how much time will it take

Weighted mean - It is the mean which employs arbitrarily given weights - This is a useful measure especially whereas assessment is being done yet the situation prevailing a

what is the difference between argument and principle argument

what is the answer to 2.1 to 4.2

If tanx+secx=sqr rt 3, 0 Ans) sec 2 x=(√3-tanx) 2 1+tan 2 x=3+tan 2 x-2√3tanx 2√3tanx=2 tanx=1/√3 x=30degree