Question

The test statistic of zequalsnegative 2.40 is obtained when testing the claim that less than 0.32. a. Using a significance level of alphaequals0.10​, find the critical​ value(s). b. Should we reject Upper H 0 or should we fail to reject Upper H 0​

Answer 1

a) Critical value = -1.285

b) We should reject null hypothesis that the mean equals 0.32

Explanation:

Given that the statistic of z equals negative 2.40 is obtained when testing the claim that less than 0.32

i.e. for hypotheses

`H_0: \bar = 0.32\\H_a: \bar x <0.32\\`

(one tailed test at 10% significance level)

Z critical value for 90% one tailed = -1.285

Since our test statistic is less than -1.285 we reject null hypothesis

a) Critical value = -1.285

b) We should reject null hypothesis that the mean equals 0.32