Answer:
Step-by-step explanation:
This is a test of 2 population proportions. Let 1 and 2 be the subscript for the men and women who own cats respectively. The population proportion of men and women who own cats would be p1 and p2 respectively.
p1 - p2 = difference in the proportion of men and women who own cats.
The null hypothesis is
H0 : p1 = p2
p1 - p2 = 0
The alternative hypothesis is
Ha : p1 ≠ p2
p1 - p2 ≠ 0
it is a two tailed test
Sample proportion = x/n
Where
x represents number of success
n represents number of samples
For men
n1 = 80
p1 = 55/100 = 0.55
x1 = p1n1 = 0.55 × 80 = 44
For women,
n2 = 100
p2 = 30/100 = 0.3
x2 = p2n2 = 0.3 × 100 = 30
The pooled proportion, pc is
pc = (x1 + x2)/(n1 + n2)
pc = (44 + 30)/(80 + 100) = 0.41
1 - pc = 1 - 0.41 = 0.59
z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)
z = (0.55 - 0.3)/√(0.41)(0.59)(1/80 + 1/100) = 3.39
Test statistic = 3.39
Step-by-step explanation:
4 smoothies = 2 1/2 banana
you need to make 2 more smoothies, So half of what you did already.
(2.5)/2= 1.25 then add them (2.5)+(1.25)
6 smoothies = 3.75 or 3 3/4, same thing.
Answer:
Step-by-step explanation:
if 36^12-m=6^2m , find the value of m
To make the exponents equal , we need to get the same base.
The base of both sides of equation are not same.
36 can be written as 6^2
now base of both sides are same . so we equate the exponents
add 2m on both sides
divide by 4 on both sides
The value of m is 6
Answer:
your answer should be 3 1/4
Step-by-step explanation:
Answer:
25 cents/ounce
Step-by-step explanation:
The unit rate means how much is one of the thing you are working with. In this case, the unit rate of a pint (16 ounces) is how much just one ounce will cost. So divide $3.93 by 16
$3.93/16 = $0.245625
Since we're working with money, round to the nearest hundredth
Unit rate is $0.25 per ounce, or 25 cents per ounce
