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horsedoggal1234
29.01.2020 •
Mathematics
According to nielsen media research. of all the u.s. households that owned at least one television set, 83% had two or more sets. a local cable company canvassing the town to promote a new cable service found that of the 300 households visited, 240 had tow or more television sets. at α= .05 proportion is less than the one in the report.
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Ответ:
The proportion of U.S. households that owned two or more televisions is 83%.
Step-by-step explanation:
To determine whether the proportions of U.S. households that owned two or more televisions is less than 83% or not let us perform a hypothesis test for single proportion.
Assumptions:
The sample size (n) selected by the local cable company is 300 which is quite large. Then according to the Central limit theorem the sampling distribution of sample proportion follows a normal distribution with mean p and standard deviation
.
Since the sampling distribution of sample proportions follows a normal distribution use the z-test for one proportion to perform the test.
The hypothesis is:
Decision Rule:
At the level of significance α = 0.05 the critical region for a one-tailed z-test is:
**Use the z table for the critical values.
So, if
the null hypothesis will be rejected.
Test statistic value:
Here
is the sample proportion.
Compute the value of
as follows:
Now compute the value of the test statistic as follows:
The test statistic is -1.383 which is more than -1.645.
Thus, the test statistic lies in the acceptance region.
Hence we fail to reject the null hypothesis.
Conclusion:
At 0.05 level of significance we fail to reject the null hypothesis stating that the proportion of U.S. households that owned two or more televisions is 83%.
Ответ:
Equation 2) y = -x - 1
Add x to both sides on equation 2.
2) x + y = -1
1) -3x + 9y = 45
Multiply ALL of equation 2 by 3.
2) 3(x + y = -1)
Simplify.
2) 3x + 3y = -3
1) -3x + 9y = 45
Add equations together.
12y = 42
Divide both sides with 12.
y = 3.5
Plug in 3.5 for y in the first equation.
-3x + 9y = 45
-3x + 9(3.5) = 45
Simplify.
-3x + 31.5 = 45
Subtract 31.5 from both sides.
-3x = 45 - 31.5
Simplify.
-3x = 13.5
Divide both sides by -3.
x = -4.5
(-4.5, 3.5)
~Hope I helped!~