Answer:
Yes, there is enough evidence to say the proportions are the same.
Step-by-step explanation:
Null hypothesis: The proportions are the same.
Alternate hypothesis: The proportions are not the same.
Data given:
p1 = 51% = 0.51
n1 = 200
p2 = 48% = 0.48
n2 = 150
pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497
Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556
The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645
Conclusion:
Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.
The given histogram represents <span>the number of hamburgers students ate in a month :
</span>
From the histogram we can conclude the following:
(1) 8 students ate (0 - 4) hamburgers
(2) 3 students ate (5 - 9) <span>hamburgers </span>
(3) 2 students ate (10 - 14) <span>hamburgers
</span>
note: we don't know how many students ate exactly 5 hamburgers.
<span>So, the answer
</span>
The information which is provided in the histogram<span>
</span><span>
</span><span>The number of students who ate 10 hamburgers or more
</span>
Answer:
Step-by-step explanation:
Given
See comment for missing part of the question
Required
Complete the expression to determine the dimension of a rectangle
We have:
Open bracket
Equate to 0
Expand
Factorize
Factor out x + 2
Solve for x
or 
or 
The value of x cannot be negative
So:
Recall that:
So:
---- i.e. 5 - 3
Answer:
-8x + 16
Step-by-step explanation:
This is called expanding brackets in algebra
1. you need to multiply the numeral on outside of the brackets with each of thosse on the inside
-4 x 2x = 8x
-4 x -4 = 16
