Question

Consider the following hypotheses. Upper H 0​: p=0.44 Upper H 1​: pnot =0.44 Given that p overbar=0.35​, n=160​, and alpha=0.10​, answer the following questions.

a. What conclusion should be​ drawn?

b. Determine the​ p-value for this test.

a. Determine the critical​ value(s) of the test statistic.

z α=

​(Use a comma to separate answers as needed. Round to three decimal places as​ needed.)

Answer 1

Given that, n = 160 and sample proportion = 0.35

The null and alternative hypotheses are,

H0 : p = 0.44

H1 : p ≠ 0.44

Test statistic is,

=> Test statistic is, z = -2.29

p-value = 2 * P(Z < -2.29) = 2 * 0.0110 = 0.0220

a) Since, p-value = 0.0220 < alpha = 0.10, we should reject the null hypothesis.

b) p-value = 0.0220

Critical values at significance level of 0.10 are, Z_{​​​​​​crit =} ± 1.645

=> Zα = -1.645, 1.645