Question

Assume that the significance level is alpha equals α=0.05.

Use the given information to find the​ P-value and the critical​ value(s).

With

Upper H 1 : p not equals 1/2,

the test statistic is

zequals=negative −1.77.

Answer 1

Here in this scenario the test Statistic is given we have calculate only the critical value and p value.

This is the case of one sample z test because the z Statistic value is given to-1.77. from the above alternative hypothesis we can say that this is two tailed test.

Further detailed test with steps is performed as below,

Decision Rule : Reject null hypothesis if z Statistic value is fall in critical region. In this example the z Statistic value = -1.77 > -1.96 i.e it falls in acceptance region so we fail to reject Ho null hypothesis.

Using p value approch : Reject null hypothesis if p-value< alpha level of significance.

In our example the pvalue = 0.076 > alpha = 0.05 so we fail to rejecting Ho hypothesis.

Thank you.