Question 18 4 pts You are conducting a one-sided test of the null hypothesis Ho:

Question

Question 18 4 pts You are conducting a one-sided test of the null hypothesis Ho: p s 0.5 versus the alternative hypothesis HA: p 0.5. The test statistic Zc -2.43. What is the p-value of Zc? Include 4 decimal places in your answer. Question 19 4 pts In a random sample of 400 items, 98 are defective. If the null hypothesis is that the proportion of items that are defective is 0.20, what is the value of the test statistic used to test the null hypothesis Ho: p s 0.20? Include 2 decimal places in your answer.

Explanation / Answer

Solution:-

18. The test statistic Z = 2.43

The P-Value is 0.0075

19.
sample proportion = phat = 98/400 = 0.245

Given that p = 0.20

Zstat = (phat-p)/sqrt(p*(1-p)/n)

= (0.245-0.2)/sqrt(0.2*0.8/400)

= 2.25 (rounded)

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