For a test of H_{o}: p = 0.5, the z

oliviayychengwh

oliviayychengwh

Answered question

2021-12-12

For a test of Ho: p = 0.5, the z test statistic equals -1.52. Findthe p-value for Ha: p < 0.5.

Answer & Explanation

Lakisha Archer

Lakisha Archer

Beginner2021-12-13Added 39 answers

From the information, the alternative hypothesis is p<0.5. This indicates that the probability of z less than -1.52 is the objective of the problem.
The main objective of the problem is to identify the probability of z less than -1.52 is the objective of the problem.
The probability of z less than -1.52 is obtained below:
From the “standard normal table”, the area to the left of z<-1.52 is 0.0643.
That is,
P(z<-1.52)=0.0643
Thus, the probability of z less than -1.52 is 0.0643.
Buck Henry

Buck Henry

Beginner2021-12-14Added 33 answers

Given:
H0:p=0.50
Ha:p<0.50
z=1.52
The P-value is the probability of obtaining the value of the test statistic, or a value more extreme, when the null hypothesis is true. Determine the P-value using the normal probability table in the appendix.
P=P(Z<1.52)=1-P(Z>1.52)=1-0.0643=0.0643

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