Mathematics, 15.10.2019 18:30 xfuartado

Amajor blu-ray rental chain is considering opening a new store in an area that currently does not have any such stores. the chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with blu-ray players. it conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have blu-ray players. the decision on the hypothesis test using a 5% level of significance is
(a) 2.80.
(b) 2.60.
(c) 1.30.
(d) 1.94.

Answers: 2

Show answers

Answers

Answer from: EthanIsHyper

Answer with explanation:

Let p be the population proportion.

Given : The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with Blu-ray players.

i.e. $p=\dfrac{5000}{20000}=0.25$

$H_0:p\leq0.25\\\\H_a:p0.25$

Since alternative hypothesis is right-tailed , so the test is right-tailed test.

Also, Sample size : n= 300 ,

Sample proportion: $\hat{p}=\dfrac{96}{300}=0.32$

Test statistic: $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

$z=\dfrac{0.32-0.25}{\sqrt{\dfrac{0.25(1-0.25)}{300}}}=2.8$

i.e. Observed test statistic Value = 2.80

(A) is right option.

Critical value for 5% significance level for right tailed test :-

$z_{\alpha}=z_{0.05}= 1.6448536$

Since , the observed z-value is greater than the critical value , so we reject the null hypothesis.

Conclusion : We have sufficient evidence to supposrt the alternative hypothesis.

So, The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with Blu-ray players.

Answer from: Quest

Ucan draw that on a graph sheet and count the no. of units and apply the area formula of rectangle

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Another question on Mathematics

Mathematics, 21.06.2019 23:30

Consider the input and output values for f(x) = 2x - 3 and g(x) = 2x + 7. what is a reasonable explanation for different rules with different input values producing the same sequence?

Answers: 1

Answer

Mathematics, 22.06.2019 00:20

Three students, javier, sam, and corrine, participated in a fundraiser where people donated a certain amount of money per lap that the student ran. each student also had some initial donations that were collected before the run. the equations that represent each student's total donation, y, based on the number of laps ran, x, is shown below. match each equation with the correct rate of change for that student.

Answers: 1

Answer

Mathematics, 22.06.2019 01:30

Jon’s weight loss for each week of the month is 5 lbs., 2.5 lbs., and 2.5 lbs. he gained 3.5 lbs. the last week. if jon originally weighed 198 lbs., how much does he weigh now?

Answers: 1

Answer

Mathematics, 22.06.2019 01:30

How do you write 0.5% as a fraction

Answers: 1

Answer

You know the right answer?

Amajor blu-ray rental chain is considering opening a new store in an area that currently does not ha...

Questions