Consider the following hypotheses.
Upper H 0: p ≤ 0.11
Upper H 1: p ≠ 0.11
Given that p = 0.16, n =150, and α = 0.01, answer the following questions.
(a) What conclusion should be drawn?
(b) Determine the p-value for this test.
(c) Determine the critical value(s) of the test statistic. zₐ =1.96 (Use a comma to separate answers as needed. Round to two decimal places as needed.)

(a) There is sufficient evidence to conclude that the population proportion equals 0.11.

(b) p-value is 0.0548

(c) Critical values are -2.58, 2.58

Step-by-step explanation:

(a) Conclusion:

Fail to reject H0 because the p-value 0.0548 is greater than the significance level 0.01.

(b) The test is a two-tailed test because the alternate hypothesis is expressed using not equal to.

Test statistic (z) = (p' - p) ÷ sqrt[p(1-p) ÷ n]

p' is sample proportion = 0.16

p is population proportion = 0.11

n is sample size = 150

z = (0.16 - 0.11) ÷ sqrt[0.11(1-0.11) ÷ 150] = 0.05 ÷ 0.026 = 1.92

Cumulative area of the test statistic is 0.9726

p-value for a two-tailed test = 2(1 - 0.9726) = 2(0.0274) = 0.0548

(c) The critical values of the test statistic are -2.58, 2.58

b

step-by-step explanation:

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.