Question

Consider the hypotheses shown below. Given that x = 111, o = 26, n = 49, a = 0.10, complete parts a through c below. Ho: u = 119 Ha:u # 119 a. State the decision rule in terms of the critical value(s) of the test statistic. the critical value(s), . Otherwise, do not reject the null hypothesis. Reject the null hypothesis if the calculated value of the test statistic, v is (Round to two decimal places as needed. Use a comma to separate answers less than greater than not contained within equal to

Answer 1

Solution :

$\mu$= 111

$\bar x$ =119

$\sigma$ =26

n = 49

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :  $\mu$  = 111

Ha : $\mu$    $\neq$ 111

Test statistic = z

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

= (119 -111) / 26 / $\sqrt$ 49

= 2.154

Test statistic = z =  2.15

it is observed that ∣z∣=2.154 > zc​=1.64, it is then concluded that the null hypothesis is rejected.

P-value =0.0313

$\alpha$ = 0.10

P-value < $\alpha$

0.0313 < 0.10

Reject the null hypothesis .

There is sufficient evidence to suggest that