Answer:
Step-by-step explanation:
640 calories
The first term is 2 and the common ratio = -8/2 = -4
S7 = 2 * (-4)^7 - 1
------------- = 6554 answer
-4-1
Answer: 15
Step-by-step explanation:
Step 1: Subtract 3 from both sides.
Step 2: Multiply both sides by 5/2.
C. 35 because if it is 35 roses, it will have to be 7 tulips. Divide 35 by 7 and get 5, and divide 7 and 7 to get 1.
Answer:
There is enough statistical evidence to support the claim that the survey is not accurate.
Step-by-step explanation:
We have to perform a test of hypothesis on the proportion.
The claim is that the proportion of families that own stock differs from 48.8%.
Then, the null and alternative hypothesis are:
![H_0: \pi=0.488\\\\H_a:\pi\neq0.488](https://tex.z-dn.net/?f=H_0%3A%20%5Cpi%3D0.488%5C%5C%5C%5CH_a%3A%5Cpi%5Cneq0.488)
The significance level is 0.05.
The sample. of size n=250, has a proportion of p=0.568.
![p=X/n=142/250=0.568](https://tex.z-dn.net/?f=p%3DX%2Fn%3D142%2F250%3D0.568)
The standard error of the proportion is
![\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.488*0.512}{250}}=\sqrt{0.00099}=0.032](https://tex.z-dn.net/?f=%5Csigma_p%3D%5Csqrt%7B%5Cdfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%3D%5Csqrt%7B%5Cdfrac%7B0.488%2A0.512%7D%7B250%7D%7D%3D%5Csqrt%7B0.00099%7D%3D0.032)
The z-statistic can now be calculated:
![z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.568-0.488-0.5/250}{0.032}=\dfrac{0.078}{0.032}=2.4375](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bp-%5Cpi-0.5%2Fn%7D%7B%5Csigma_p%7D%3D%5Cdfrac%7B0.568-0.488-0.5%2F250%7D%7B0.032%7D%3D%5Cdfrac%7B0.078%7D%7B0.032%7D%3D2.4375)
The P-value for this two-tailed test is then:
![P-value=2*P(z>2.4375)=0.015](https://tex.z-dn.net/?f=P-value%3D2%2AP%28z%3E2.4375%29%3D0.015)
As the P-value is smaller than the significance level, the effect is significant. The null hypothesis is rejected.
There is enough evidence to support the claim that the survey is not accurate.