Answer:
Systematic Sampling
Step-by-step explanation:
Systematic sampling is a form of sampling in which the researcher applies probability sampling such that every member of the group is selected at regular intervals or periods. The researcher picks a random starting point and after an interval must have elapsed, another sample member is chosen. This sampling method is similar to that disclosed in the question because it has the key qualities.
For example, an interval is given after the 1000th soda is tested for quality. This means that the interval for testing can accommodate 1000 sodas after which the first member is tested again. So, this is a Systematic sampling method.
Answer:
1.5 meters = 150 centimeters (multiply by 100)
Therefore, you should cut off
centimeters.
My question is 1+1 and the answer is 2
Answer:
Out of 1000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble
![n_1=1000 , y_1=31](https://tex.z-dn.net/?f=n_1%3D1000%20%2C%20y_1%3D31)
Of 1200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble.
![n_2=1200 , y_2=22](https://tex.z-dn.net/?f=n_2%3D1200%20%2C%20y_2%3D22)
We will use Comparing Two Proportions
![\widehat{p_1}=\frac{y_1}{n_1}](https://tex.z-dn.net/?f=%5Cwidehat%7Bp_1%7D%3D%5Cfrac%7By_1%7D%7Bn_1%7D)
![\widehat{p_1}=\frac{31}{1000}](https://tex.z-dn.net/?f=%5Cwidehat%7Bp_1%7D%3D%5Cfrac%7B31%7D%7B1000%7D)
![\widehat{p_1}=0.031](https://tex.z-dn.net/?f=%5Cwidehat%7Bp_1%7D%3D0.031)
![\widehat{p_2}=\frac{y_2}{n_2}](https://tex.z-dn.net/?f=%5Cwidehat%7Bp_2%7D%3D%5Cfrac%7By_2%7D%7Bn_2%7D)
![\widehat{p_2}=\frac{22}{1200}](https://tex.z-dn.net/?f=%5Cwidehat%7Bp_2%7D%3D%5Cfrac%7B22%7D%7B1200%7D)
![\widehat{p_2}=0.0183](https://tex.z-dn.net/?f=%5Cwidehat%7Bp_2%7D%3D0.0183)
i.e. religion service makes no difference
i.e. religion service makes difference
![\widehat{p}=\frac{y_1+y_2}{n_1+n_2}=\frac{31+22}{1000+1200} =0.024](https://tex.z-dn.net/?f=%5Cwidehat%7Bp%7D%3D%5Cfrac%7By_1%2By_2%7D%7Bn_1%2Bn_2%7D%3D%5Cfrac%7B31%2B22%7D%7B1000%2B1200%7D%20%3D0.024)
Formula of test statistic : ![\frac{\widehat{p_1}-\widehat{p_2}}{\sqrt{\widehat{p}(1-\widehat{p})(\frac{1}{n_1}+\frac{1}{n_2})}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cwidehat%7Bp_1%7D-%5Cwidehat%7Bp_2%7D%7D%7B%5Csqrt%7B%5Cwidehat%7Bp%7D%281-%5Cwidehat%7Bp%7D%29%28%5Cfrac%7B1%7D%7Bn_1%7D%2B%5Cfrac%7B1%7D%7Bn_2%7D%29%7D%7D)
Substitute the values
test statistic : ![\frac{0.031-0.0183}{\sqrt{0.024(1-0.024)(\frac{1}{1000}+\frac{1}{1200})}}= 1.937](https://tex.z-dn.net/?f=%5Cfrac%7B0.031-0.0183%7D%7B%5Csqrt%7B0.024%281-0.024%29%28%5Cfrac%7B1%7D%7B1000%7D%2B%5Cfrac%7B1%7D%7B1200%7D%29%7D%7D%3D%201.937)
Refer the z table for p value
p value = 0.9726
α=0.05
p value >α
So, we failed to reject null hypothesis
Hence religion service makes no difference