Question

The test statistic of zequals1.18 is obtained when testing the claim that pgreater than0.2. a. Identify the hypothesis test as being​ two-tailed, left-tailed, or​ right-tailed. b. Find the​ P-value. c. Using a significance level of alphaequals0.05​, should we reject Upper H 0 or should we fail to reject Upper H 0​?

Answer 1

Answer:

a) Right Tailed

b) p-value = 0.119

c) We fail to reject the Null Hypothesis($H_{o}$)

Step-by-step explanation:

We have the following data:

Test Statistic = z = 1.18

Claim: p > 0.2

Part a) Type of Test

Remember that when there is Greater than, Lesser than or any synonymous word in the claim, this means that the test is one-tailed.

• Greater than word indicates a Right Tailed Test
• Lesser than word indicates a Left Tailed Test

Since, the claim is that p is greater than 0.2, the hypothesis test will be Right Tailed.

Part b) P-value

We have to find the p-value for the given test statistic. Since, the test statistic is a z-value we will use z-table to find the p-value for this score. Since, this z-score is for claim that p is greater than 0.2, so we will find the p-value(probability) of score being above 1.18

The p-value of z being greater than 1.18 comes out to be 0.119. i.e.

p-value = 0.119

Part c) Decision

Calculated p-value is 0.119 and significance level = 0.05. The rule is:

• If p value is equal to or lesser than the significance level, then we reject the null hypothesis
• If p value is greater than the significance level, then we fail to reject the null hypothesis

Since, in this case our p-value is greater than the significance level, we fail to reject the null hypothesis ($H_{o}$).