Answer:
B
Step-by-step explanation:
Answer:
Question 1:
Equation 1: q+d=100
Equation 2: 25q + 10d = 19
Question 2:
Equation 1: a + 2c = 35
Equation 2: 2a + 3c = 60
Answer:
No. we cannot believe it as per hypothesis test done.
Step-by-step explanation:
Given that five hundred draws are made at random with replacement from a box of numbered tickets; 276 are positive.
To test the claim whether the proportion for positive numbers is 50% let us conduct a hypothesis test for proportions.
![H_0: p =0.5\\H_a: p\neq 0.5](https://tex.z-dn.net/?f=H_0%3A%20p%20%3D0.5%5C%5CH_a%3A%20p%5Cneq%200.5)
(Two tailed test at 5% significance level)
Sample proportion p = ![\frac{276}{500} =0.552](https://tex.z-dn.net/?f=%5Cfrac%7B276%7D%7B500%7D%20%3D0.552)
Std error of p = ![\sqrt{\frac{P(1-P)}{500} } \\=0.02236](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7BP%281-P%29%7D%7B500%7D%20%7D%20%5C%5C%3D0.02236)
(assuming null hypothesis to be true)
Here P = 0.50
Test statistic = p difference/std error = ![\frac{0.052}{0.02236} \\=2.33](https://tex.z-dn.net/?f=%5Cfrac%7B0.052%7D%7B0.02236%7D%20%5C%5C%3D2.33)
Z test is used for this proportion.
p value = 0.0198
Since p value <0.05 we reject null hypothesis
At 95% confidence level, there is statistical evidence to show that sample mean is not 50%
Answer:
The answer is The volume of air in the inflatable slide has a decay factor of
<u>0.999 </u>and decays at a rate of <u>
1%</u> per minute.
Step-by-step explanation: