Question

1. if ( p > alpha ), which conclusion is most appropriate? *

a. reject ( h_{0} ); strong evidence for ( h_{1} ).
b. fall to reject ( h_{0} ); not enough evidence for ( h_{1} ).
c. prove that ( h_{0} ) is true.
d. change ( alpha ) to make ( p ) smaller.

1. in a quality - control test, a company claims that the average weight of cereal boxes is ( 500 , \text{g} ). a hypothesis test finds ( p = 0.02 ) at ( alpha = 0.05 ). what conclusion should be made?

a. fall to reject ( h_{0} ); there is no significant difference.
b. reject ( h_{0} ); the average weight likely differs from ( 500 , \text{g} ).
c. increase sample size; the result is uncertain.
d. the test proves ( h_{1} ) is true.

Explanation:

7.

En un análisis de hipótesis, si \(p > \alpha\), no hay suficiente evidencia para rechazar la hipótesis nula \(H_0\). Esto significa que no hay evidencia suficiente para apoyar la hipótesis alternativa \(H_1\).

Dado que \(p = 0.02\) y \(\alpha=0.05\), y sabiendo que \(p < \alpha\), se rechaza la hipótesis nula \(H_0\). Esto significa que hay evidencia suficiente para pensar que la media no es \(500\) g, es decir, la media probablemente difiere de \(500\) g.

Answer:

B. Fall to reject \(H_0\); not enough evidence for \(H_1\).

8.