Answer:
C. H0 : p = 0.8 H 1 : p ≠ 0.8
The test is:_____.
c. two-tailed
The test statistic is:______p ± z (base alpha by 2) 
The p-value is:_____. 0.09887
Based on this we:_____.
B. Reject the null hypothesis.
Step-by-step explanation:
We formulate null and alternative hypotheses as proportion of people who own cats is significantly different than 80%.
H0 : p = 0.8 H 1 : p ≠ 0.8
The alternative hypothesis H1 is that the 80% of the proportion is different and null hypothesis is , it is same.
For a two tailed test for significance level = 0.2 we have critical value ± 1.28.
We have alpha equal to 0.2 for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28
The test statistic is
p ± z (base alpha by 2)
Where p = 0.8 , q = 1-p= 1-0.8= 0.2
n= 200
Putting the values
0.8 ± 1.28 
0.8 ± 0.03620
0.8362, 0.7638
As the calculated value of z lies within the critical region we reject the null hypothesis.
To convert a fraction to a decimal, you have to divide the denominator by the numerator.
<em>HOPE THIS HELPS! HAVE A GREAT DAY!!!</em>
Step-by-step explanation:
let the percent of found balloons be x
given,
total number of balloons= 70
number of found balloons= 28
according to the question,
x% of 70= 28
x/100 × 70 = 28
x=40
hence 40% of the balloons were found
Answer:
The sum of the first five classroom numbers in a row is 5k + 20
Step-by-step explanation:
Since the smallest classroom number on the side of the building is numbered k and each consecutive odd integer is separated by a difference of
2.
Therefore:
k is the first class room.
k + 2 is the second class room.
k + 4 is the third class room.
k + 6 is the third class room.
k + 8 is the fifth class room.
The sum of the five consecutive class rooms are given as:
k + (k + 2) + (k + 4) + (k + 6) + (k + 8)
collecting alike terms we get
= k + k + k + k + k + 2 + 4 + 6 + 8
= 5k + 20
Therefore, The sum of the first five classroom numbers in a row is 5k + 20.
6.5 liters per 100 km travelled. 30% of 5 is 1.5, so adding this to the original amount results in 6.5
