Question

the test statistic of ( z = 0.90 ) is obtained when testing the claim that ( p>0.7 ).
a. identify the hypothesis test as being two - tailed, left - tailed, or right - tailed.
b. find the p - value.
c. using a significance level of ( alpha = 0.05 ), should we reject ( h_0 ) or should we fail to reject ( h_0 )?
click here to view page 1 of the standard normal distribution table.
click here to view page 2 of the standard normal distribution table.
a. this is a right - tailed test

Explanation:

Step1: Find the P - value

Since it is a right - tailed test, the P - value is \(P(Z>0.90)\).
We know that \(P(Z > z)=1 - P(Z\leq z)\).
From the standard normal distribution table, \(P(Z\leq0.90) = 0.8159\).
So \(P(Z>0.90)=1 - 0.8159\).

Step2: Calculate the value

\(P(Z>0.90)=1 - 0.8159=0.1841\)

Step3: Make a decision

We are given \(\alpha = 0.05\).
Since \(P - value=0.1841>\alpha = 0.05\), we fail to reject \(H_0\).

Answer:

a. This is a right - tailed test.
b. The P - value is \(0.1841\).
c. We fail to reject \(H_0\).