Question

The test statistic of zequalsnegative 3.43 is obtained when testing the claim that pless than0.39. a. Using a significance level of alphaequals0.05​, find the critical​ value(s). b. Should we reject Upper H 0 or should we fail to reject Upper H 0​?

Answer 1

a

`z_t = -1.645`

b

We should reject the Upper
`H_o`

Explanation:

From the question we are told that

The test statistics is
`t_s = -3.43`

The probability is
`p < 0.39`

The level of significance is
`\alpha = 0.05`

Now looking at the probability we can deduce that this is a left tailed test

The second step to take is to obtain the critical value of
`\alpha` from the critical value table

The value is

`t_ {\alpha } = 1.645`

Now since this test is a left tailed test the critical value will be

`z_t = -1.645`

This because we are considering the left tail of the normal distribution curve

Now since the test statistics falls within the critical values the Null hypothesis is been rejected