Question

Consider the following hypotheses. Upper H 0​: p less than or equals 0.23 Upper H 1​: p greater than 0.23

Given that p overbar =0.325​, n =120​, alpha =0.10​, answer the following questions.

Determine the critical​ value(s) of the test statistic =

Calculate the test statistic =

a. What conclusion should be​ drawn?

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

Answer 1

Solution :

The null and alternative hypothesis is

H0 : p 0.23

H1 : p > 0.23

= x / n = 0.325

1 - P0 = 0.77‬

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.325 - 0.23 / [(0.23 * 0.77) / 120]

z = 2.47

P-value = 0.0067

= 0.05

P-value <

Reject the null hypothesis .

There is sufficient evidence to support the claim.