El presidente del PRI en 1988, basado en su experiencia, sostiene que un 95 % de

Question

El presidente del PRI en 1988, basado en su experiencia, sostiene que un 95 % de los

votos para las elecciones presidenciales han sido a favor de su partido. Los partidos de oposici on

levantaron una muestra de 1100 electores y encontraron que un 87 % de ellos votar a por el PRI. Los

opositores quiere probar la hipotesis de que el numero de votantes a favor del PRI ha disminuido.

Para esto, realizan una prueba de hipotesis con un nivel de significancia de = 0.05

a) escriba la hipotesis de H0 y H1:

H0:

H1:

b) calcule el valor de la prueba:

c) Diga si se estrecha o no la hipotesis nula y luego interprete resultados:

ENGLISH

The president of the PRI in 1988, based on his experience, maintains that 95% of the votes for the presidential elections have been in favor of his party. The opposition parties They raised a sample of 1,100 voters and found that 87% of them voted for the PRI. The opponents wants to prove the hypothesis that the number of voters in favor of the PRI has decreased. For this, they perform a hypothesis test with a level of significance of = 0.05

a) Write the hypothesis of H0 and H1:   

           H0:

             H1:

b) Calculate the value of the test:

c) Say if the null hypothesis is narrowed or not and then interpret results:

Explanation / Answer

A) H0: P = 0.95

H1: P < 0.95

B) The test statistic Z = (p - P)/sqrt(P * (1 - P)/n)

= (0.87 - 0.95)/sqrt(0.95 * 0.05/1100)

= -12.17

At alpha = 0.05, the Critical value is -1.96

As the test statistic value is less than the critical value (-12.17 < -1.96), so the null hypothesis is rejected.

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