Answer:
(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
The answer is B 2,142.72 because when you add it all up then multiply by 12 it will equal that.
B. A parallelogram is a rectangle.
Answer:
225 burgers
Step-by-step explanation:
522-72=450
450/2=225
Answer: length of DE = 18
Step-by-step explanation:
Since the angles of these two triangles are the same, we can assume that they are <em>similar triangles</em>. To solve for a missing side of a triangle that is similar, you can set up a proportion:
To solve for x (the missing length), you would do:
27 × 10 ÷ 15 = 18
You can set up the proportion in any way between the two triangles as long as the two sides correspond to each other. For example, you could have also used the following proportion to solve for x:
When you solve for x using this proportion, you would get the same value for x:
10 × 27 ÷ 15 = 18