Answer:
The test statistics is 
The critical value is 
The null hypothesis is rejected
Step-by-step explanation:
From the question we are told that
The sample size for men is 
The sample proportion of men that own a cat is 
The sample size for women is 
The sample proportion of women that own a cat is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistic is mathematically represented as
=> 
=>
The critical value of 
from the normal distribution table is
The p-value is obtained from the z-table ,the value is
=> 
Given that the 
then we reject the null hypothesis
Answer:
Step-by-step explanation:
See attached image.
Answer:
2/3 yards or 2 feet
Step-by-step explanation:
The formula for the volume of a sphere is 
, meaning that you can set up the following equation:
Divide both sides by 
:
Take the cube root of both sides:
yards. Hope this helps!
Answer:
Mean weight gained of two goods is not significantly different under 0.05 or 0.01 significance level, but it is under 0.10 significance level.
Step-by-step explanation:
We need to calculate the z-statistic of the differences of sample means and compare if it is significant under a significance level.
Z-score can be calculated using the formula:
z=
where
- X is the mean weight gain for in the first three months after birth for babies using the Gibbs products.
- Y is the mean weight gain for in the first three months after birth for babies using the competitor products
- s(x) is the population standard deviation of the sample for Gibbs brand
- s(y) is the population standard deviation of the sample for competitor brand
- N(x) is the sample size for babies used Gibbs product
- N(y) is the sample size for babies used competitor product.
putting the numbers in the formula:
z=
≈ -1.51
and z-table gives that P(z<-1.51) = 0.0655
To conclude if the competitor good is significantly better, we need to choose a significance level and compare it to 0.0655.
For example, the difference in mean weight gained of two goods is not significant under 0.05 or 0.01 significance since 0.0655 is bigger than these values. But we can conclude that under 0.10 significance, competitor brand mean weight gain is significantly more than the Gibbs brand mean weight gain.
The average amount earned based on the information given is $5.31 per product.
Number of farm products = 293
Total amount earned = $1557
Therefore, the average amount will be gotten by dividing the total amount by the number of farm products and this will be:
= $1557/293
= $5.31
In conclusion, the average will be $5.31.
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brainly.com/question/25276097
