Answer:
P-value 0.0013 is the probability that the samples drawn from a population where the true proportion of Canadians who read at least one book is not different than the true proportion of Britons who read at least one book in the past year. Assuming a <em>0.01 </em><em>significance level</em>, since this probability is low (0.0013<0.01) we can reject the null hypothesis and confirm a higher reading rate in Canada.
Step-by-step explanation:
let
p(c) be the true proportion of Canadians who read at least one book in the past year, and
p(b) be the true proportion of Britons who read at least one book in the past year
Then, the hypotheses are
From the Poll we have two samples. Sampling distributions are:
n1=1004 p1=0.86 mean1=n1×p1=863.44 standard deviation1==≈0.3470
n2=1009 p2=0.81 mean2=n2×p2=817.29 standard deviation2==≈0.3923
The formula for the test statistic is given as:
z= where
- p1 is the sample proportion of Canadians who read at least one book in the past year (0.86)
- p2 is the sample proportion of Britons who read at least one book in the past year (0.81)
- p is the pool proportion of p1 and p2 ()
- n1 is the sample size of Canadians (1004)
- n2 is the sample size of the Britons (1009)
Then
z= ≈ 3.02
P-value of the test statistic is ≈0.0013.
The probability of the samples drawn from a population where p(c)=p(b) is 0.0013. Assuming a <em>0.01 </em><em>significance level</em>, since this probability is low (0.0013<0.01) we can reject the null hypothesis and confirm a higher reading rate in Canada.
Answer:
<em>Thus the domain is the real numbers and the range is y>3.</em>
<em>Answer: Option C)</em>
Step-by-step explanation:
<u>Domain and Range of Functions</u>
To determine the domain and range of a function given on a graph, we use the vertical and horizontal line methods respectively.
The domain consists of all the values of x for which the function exists. We are told that the function is an exponential decay. Exponential functions without specified restrictions have a domain of all the real numbers.
Imagine a vertical line moving from minus infinite x to plus infinite. The line would always cross the graph at one point, thus the domain is all the real numbers.
Now for the range, imagine a horizontal line coming from y minus infinite. It won't get in contact with the graph until it approaches y=3. Once it goes up y=3, the line touches the graph in one point up to infinity y. The range is y>3.
Thus the domain is the real numbers and the range is y>3.
Answer: Option C)
Answer:
y=65; x=50
Step-by-step explanation:
x+y=115
50x+35y=4775
y=115-x
50x+35(115-x)=4775
50x+4025-35x=4775
15x=750
x=50
50(50)+35y=4775
2500+35y=4775
35y=2275
y=65
Answer:
A
Step-by-step explanation:
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Rounded to the nearest ten thousand, 15,677 would become 20,000. To be
rounded down to 10,000, the original number would need to be 14,999 or
lower.