12 is the answer your looking for
Answer:
a
The null hypothesis is ![H_o : p = 0.75](https://tex.z-dn.net/?f=H_o%20%20%3A%20%20p%20%3D%20%200.75)
The alternative hypothesis is ![H_a : p \ne 0.75](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20p%20%5Cne%20%200.75)
b
![t = 2.51](https://tex.z-dn.net/?f=t%20%3D%202.51)
c
![p-value = 0.01207](https://tex.z-dn.net/?f=p-value%20%20%3D%20%200.01207)
d
There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns
Step-by-step explanation:
From the question we are told that
The sample size is ![n = 745](https://tex.z-dn.net/?f=n%20%20%3D%20%20745)
The number that said it is morally wrong is ![k = 589](https://tex.z-dn.net/?f=k%20%20%3D%20%20589)
The level of significance is ![\alpha = 0.01](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%200.01)
The population proportion is ![p = 0.75](https://tex.z-dn.net/?f=p%20%20%3D%20%200.75)
Generally the sample proportion is mathematically represented as
![\r p = \frac{k}{n}](https://tex.z-dn.net/?f=%5Cr%20p%20%20%3D%20%20%5Cfrac%7Bk%7D%7Bn%7D)
=> ![\r p = \frac{589}{745}](https://tex.z-dn.net/?f=%5Cr%20p%20%20%3D%20%20%5Cfrac%7B589%7D%7B745%7D)
=> ![\r p = 0.79](https://tex.z-dn.net/?f=%5Cr%20p%20%20%3D%20%200.79)
The null hypothesis is ![H_o : p = 0.75](https://tex.z-dn.net/?f=H_o%20%20%3A%20%20p%20%3D%20%200.75)
The alternative hypothesis is ![H_a : p \ne 0.75](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20p%20%5Cne%20%200.75)
The standard error is mathematically represented as
![SE = \sqrt{\frac{p(1-p)}{n} }](https://tex.z-dn.net/?f=SE%20%3D%20%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%20%7D)
=> ![SE = \sqrt{\frac{0.75(1-0.75)}{745} }](https://tex.z-dn.net/?f=SE%20%3D%20%20%5Csqrt%7B%5Cfrac%7B0.75%281-0.75%29%7D%7B745%7D%20%7D)
=> ![SE =0.0159](https://tex.z-dn.net/?f=SE%20%20%3D0.0159)
Generally the test statistics is mathematically represented as
![t = \frac{\r p - p }{SE}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B%5Cr%20p%20-%20p%20%7D%7BSE%7D)
=> ![t = \frac{0.79 - 0.75 }{0.0159}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B0.79%20-%200.75%20%7D%7B0.0159%7D)
=> ![t = 2.51](https://tex.z-dn.net/?f=t%20%3D%202.51)
Generally the p-value is mathematically represented as
![p-value = 2 * P(Z > 2.51)](https://tex.z-dn.net/?f=p-value%20%20%3D%20%202%20%2A%20P%28Z%20%3E%20%202.51%29)
From the the z-table
![P(Z > 2.51) = 0.0060366](https://tex.z-dn.net/?f=P%28Z%20%3E%20%202.51%29%20%3D%200.0060366)
=> ![p-value = 2 * 0.0060366](https://tex.z-dn.net/?f=p-value%20%20%3D%20%202%20%2A%200.0060366)
=> ![p-value = 0.01207](https://tex.z-dn.net/?f=p-value%20%20%3D%20%200.01207)
From the calculation ![p-value >\alpha](https://tex.z-dn.net/?f=p-value%20%3E%5Calpha)
Hence we fail to reject the null hypothesis
Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns
Answer:
9x/-1 is the correct answer
Step-by-step explanation:
Number of dog food packages bought by Byron is 300
Step-by-step explanation:
- Step 1: Given number of bird food packages = b. Find the number of packages for the other animal foods.
Number of hamster food packages = b.
Number of dog food packages = 4b
Number of cat food packages = 1/2 of 4b = 2b
Total food packages = 600
⇒ b + b + 4b + 2b = 600
⇒ 8b = 600
⇒ b = 600/8 = 75
- Step 2: Calculate the amount of dog food
∴ 4b = 4 × 75 = 300