Question

Consider the hypotheses shown below. Given that x = 41, o = 12, n = 31, a = 0.10, complete parts a and b. Horus 38 H: > 38 a) What conclusion should be drawn? b) Determine the p-value for this test. a) The z-test statistic is l. (Round to two decimal places as needed.)

Answer 1

Solution :

This is one tailed test .

The null and alternative hypothesis is ,

H0 :  $\mu$$\leq$ 38

Ha : $\mu$ > 38

Test statistic = z

= ($\bar x$ - $\mu$ ) / $\sigma$ / $\sqrt$ n

= (41 - 38) / 12 / $\sqrt$ 31

Test statistic = 1.39

P-value = 0.0820

$\alpha$ = 0.10

P-value < $\alpha$

Reject the null hypothesis .

There is sufficient evidence to support the claim.