Question

please answer the last question too- the answers are shown in the pictures via the drop down option! thanks!!!

5-14 ans using such as M in a random sample of 400 items where 89 were found to be defective, the null hypothesis that 20% of the Roms in the population are defective produced ZSTAT +1.13. Suppose someone is testing the null hypothesis Ho *=0.20 against the two-tail alternative hypothesis H, x+0.20 and they choose the level of significance a=0.05. What is their statistical decision? the right us prices What is the statistical decision? Determine the p-value The p-value for the given ZSTAT is p value (Type an integer or a decimal Round to three decimal places as needed) overnme Since the p-value, is Enter your answer in the answer box the ans Save for Later re to search

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :  $\mu$ = 0.20

H_a : $\mu$ $\neq$ 0.20

Test statistic (z) = 1.13

P-value

= 2 * P(z > 1.13) = 1 - P(z < 1.13)

= 2 * 0.1292

P value = 0.2584‬

P-value > $\alpha$

Since the P-value is greater than or equal to $\alpha$ = 0.05, do not reject H₀