Simplify (x4y)3. help

It is thought that the front cover and the nature of the first question on mail surveys influence the response rate. An article

denis-greek [22]

Answer:

The null and alternative hypothesis are:

$H_0: \pi_1=\pi_2\\\\H_a:\pi_1\neq \pi_2$

Test statistic z = -0.29

P-value = 0.7709

Fail to reject H0. The data does not suggest that the front cover and nature of the first question on mail surveys influence the response rate.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the return rate is different for the Plain cover and the Skydiver cover.

Then, the null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0$

The significance level is 0.1.

The sample 1 (plain cover), of size n1=209 has a proportion of p1=0.493.

$p_1=X_1/n_1=103/209=0.493$

The sample 2 (skydiver cover), of size n2=215 has a proportion of p2=0.507.

$p_2=X_2/n_2=109/215=0.507$

The difference between proportions is (p1-p2)=-0.014.

$p_d=p_1-p_2=0.493-0.507=-0.014$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{103+109}{209+215}=\dfrac{212}{424}=0.5$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.5*0.5}{209}+\dfrac{0.5*0.5}{215}}\\\\\\s_{p1-p2}=\sqrt{0.001196+0.001163}=\sqrt{0.002359}=0.049$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.014-0}{0.049}=\dfrac{-0.014}{0.049}=-0.29$

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

$\text{P-value}=2\cdot P(z$

As the P-value (0.771) is bigger than the significance level (0.1), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the return rate is different for the Plain cover and the Skydiver cover.

8 0

3 years ago

The amount of energy it takes to run a race is most likely to be a function of

Lana71 [14]

The amount of energy it takes to run a race is most likely to be a function of the; D: Length of the Race

<h3>How to find amount of energy?</h3>

We want to basically find the factor that influences the amount of energy expended by a sprinter.

Now, formula for potential energy is;

P = mgd

where;

m is mass

g is acceleration due to gravity

d is distance covered

Now, the only option that falls into the input that affects energy expended is the distance covered. This is true because the more the distance covered, the higher the energy expended.

Read more about Amount of Energy at; brainly.com/question/13439286

#SPJ1

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A bag contains yellow marbles and red marbles, 19 in total. The number of yellow marbles is 5 less than 3 times the number of re

Bad White [126]

Answer of this question =8