Research question: Do the majority of U. S. adults oppose the death penalty?

Based on this research question, here are the hypotheses:

LaTeX: H_0H 0: 50% of U. S. adults oppose the death penalty.

LaTeX: H_aH a: A majority (more than 50% of adults) oppose the death penalty.

Suppose a survey was conducted in which a random sample of 1,100 U. S. adults are asked about their opinions on the death penalty, and based on the data, the researchers state, "at the 5% significance level, this survey provides strong evidence that the majority of U. S. adults oppose the death penalty.

Which of the following P-values support this conclusion?

a. 0.55
b. 0.10
c. 0.03

The P-value that will support this conclusion is 0.03.

Step-by-step explanation:

We are given the following hypothesis below;

Null Hypothesis, : p = 50%    {means that 50% of U.S. adults oppose the death penalty}

Alternate Hypothesis, : p > 50%     {means that majority (more than 50% of adults) oppose the death penalty}

Now, a survey was conducted in which a random sample of 1,100 U.S. adults are asked about their opinions on the death penalty, and based on the data, the researchers state, "at the 5% significance level, this survey provides strong evidence that the majority of U.S. adults oppose the death penalty.

The above information concluded that the null hypothesis has been rejected due to which we moves towards the conclusion that majority of U.S. adults oppose the death penalty.

Now, the decision rule based on P-value criterion is given by;

Here, the P-value which will support our conclusion is 0.03 as at only this value our P-value is less than the level of significance of 0.05 and null hypothesis is rejected.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?