Question

The test statistic of zequals2.31is obtained when testing the claim that pgreater than0.9.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 alphaequals0.10​,should we reject Upper H 0or should we fail to reject Upper H 0​?

Answer 1

Explanation:

a) From the information given, we can state the hypothesis as follows:

For null hypothesis,

p = 0.9

Or

p ≤ 0.9

For alternative hypothesis,

p > 0.9

Because of the greater than inequality symbol in the alternative hypothesis, it means that it is a right tailed test.

b) Since z = 2.31, we would determine the p value by looking at the probability corresponding to the area above the z score from the normal distribution table. Thus

P value = 1 - 0.9896 = 0.0104

Using a significance level of alpha equals 0.10, since alpha, 0.10 is > p value, 0.0104, then we would reject the null hypothesis.