Question

Find the​ P-value for a​ left-tailed hypothesis test with a test statistic of z= -1.55. Decide whether to reject Upper H 0H0 if the level of significance is α=0.10.

​P-value = ______ Round to four decimal places as​needed

Answer 1

0.0606

Explanation:

Given that test statistic for a left tailed test is

z=-1.55

`H_0: \bar x=\mu\\H_a: \bar x < \mu`

Significance level = 0.10

let us find p value from z value

p value for left tailed is

0.060571

Since p value < 0.10 our alpha, we reject null hypothesis.

p value = 0.0606

Conclusion: Reject null hypothesis.

There is statistical evidence to show that sample mean is less than population mean.