Identify the equation of the graph shown.
2 answers:
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Answer:
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.
Step-by-step explanation:
Proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
This means that the null hypothesis is:
And the alternate hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.11 is tested at the null hypothesis:
This means that
Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent.
This means that:
Value of the test statistic:
Pvalue of the test and decision:
This is the probability of finding a sample proportion above 0.1381, which is 1 subtracted by the pvalue of Z = 3.54.
has a pvalue of 0.9999
1 - 0.9999 = 0.0001
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.
Answer:
The larger number = 116
Step-by-step explanation:
Let the smaller number = x
Given that one number is 78 more than another, so
The larger number = x+78
Given that if we add 12 to the smaller number, the result is 50, so
subtract 12 from both sides
Simplify
Therefore,
- The smaller number = 38
- The larger number = x+78 = 38+78 = 116
Thus, the larger number = 116