At least 3 units away from negative 1 (plot point)
2 answers:
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Answer:
The graph of the equation 40.51x+12.45y=666.64 is attached with the answer where the horizontal axis represents the X axis and the vertical axis represents Y axis.
To plot the graph physically just find two points lying on the line. Mark the points on the graph sheet and then join them. This will give you the line represented by the equation.
To find points on the line assume the value of any one variable, substitute it in the equation, then solve the equation to find the value of other variable. For example : assume y = 1; substitute the value of y in the equation;
⇒ 40.51x + 12.45×1 = 666.64
⇒ 40.51x = 666.64 - 12.45
⇒ 40.51x = 654.19
⇒ x =
⇒ x ≈ 16.149
Therefore point ( 16.149 , 1 ) lie on the graph of the equation.
***Only two points are required to plot this graph just because it represents a straight line, that we can conclude just by observing the equation. If in an equation the power of x is 1 or 0 and power of y is 1 or 0 then only it will represent a straight line in 2-D plane.***
Answer:
We conclude that the proportion of adults who totally abstain from alcohol has changed.
Step-by-step explanation:
We are given that in 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?"
Of the 1100 adults surveyed, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 352 in
<u><em>Let p = proportion of adults who totally abstain from alcohol.</em></u>
where, p = = 0.39
So, Null Hypothesis, : p = 39% {means that the proportion of adults who totally abstain from alcohol has not changed}
Alternate Hypothesis, : p
39% {means that the proportion of adults who totally abstain from alcohol has changed}
The test statistics that would be used here <u>One-sample z proportion statistics</u>;
T.S. = ~ N(0,1)
where, = sample proportion of adults who totally abstain from alcohol =
= 0.32
n = sample of adults surveyed = 1100
So, <u><em>test statistics</em></u> =
= -4.976
The value of z test statistics is -4.976.
<em>Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.</em><em> </em>
<em>Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>
Therefore, we conclude that the proportion of adults who totally abstain from alcohol has changed.