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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.
Answer:
x=6
Step-by-step explanation:
Group Like Terms:
3x+x+30=10+2x+5x+2
Add similar elements 3x+x=4x:
4x+30=10+2x+5x+2
Add similar elements 2x+5x=7x:
4x+30=10+7x+2
Group like terms:
4x+30=7x+10+2
Add the numbers 10+2=12:
4x+30=7x+12
Subtract 30 from both sides:
4x+30-30=7x+12-30
Simplify:
4x=7x-18
Subtract 7x from both sides:
4x-7x=7x-18-7x
Simplify:
-3x=-18
Divide both sides by -3:
Simplify:
x=6
Hence, the correct answer is 6