Answer:
H0 : μ = 0.5
H0 : μ > 0.5
Kindly check explanation
Step-by-step explanation:
H0 : μ = 0.5
H0 : μ > 0.5
We perform a right tailed test :
Sample proportion :
Number of games won, x = 142
Number of games, n = 250
phat = x / n = 142 / 250 = 0.568 = 56.8%
Yes, it is consistent
Test statistic :
(phat - p) * √Phat(1-Phat)/n
1 -Phat = 1 -0.568 = 0.432
(0.568 - 0.5) /√(0.568*0.432)/250
0.068 / 0.0313289
= 2.17
The Pvalue using the z test statistic :
Pvalue = 0.015
α = 0.03
Since ;
Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.
Answer:
3.9
Step-by-step explanation:
8 is rounded up because of 7
Option C:

Solution:
Given expression: 2 ln 8 + 2 ln y
Applying log rule
in the above expression.
⇒ 
Applying log rule
in the above expression.
⇒ 
We know that 
⇒
Hence, the expression in single natural logarithm is
.
Answer:
<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Original price of a microwave = $ 75
Mark-up price of the microwave = $ 90
Sale price of the microwave = $ 57
2. What is the percent decrease from the original price to the sale price?
For answering this question we will use the Direct Rule of Three this way:
Price Percentage
75 100%
57 x
75x = 57 * 100
75x = 5,700
x = 5,700/75
x = 76
76 = 100 - 24
<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>
You first divide the number by 100 and then multiply it by the percentage that you are given