A political pollster conducted a study to determine political party loyalty. To do so, he selected a random sample of 100 registered Democrats and a random sample of 100 registered Republicans. He determined the proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election and the proportion of Republicans who plan to vote for the Republican candidate in the upcoming election. A test of significance was conducted on the following hypotheses. H0: pD = pR
Ha: pD pR
where pD = the proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election and pR = the proportion of Republicans who plan to vote for the Republican candidate in the upcoming election. The conditions for inference were met.
This test resulted in a P-value of 0.0981.

a) Interpret this P-value in the context of this study.

b) Using a significance level of = 0.05, what conclusion should be made?

c) Based upon your conclusion in part (b), what type of error (Type I error or Type II error) could have been made? Provide one potential consequence of this error.

Sub to pewdiepie he must stay #1

Answer:     the interval on which the curve is concave up is  (-∞, -1/2)======    we find the interval where this curve is concave up by finding the interval in which the 2nd derivative is positive.differentiate the curve equation with respect to x    let the function f denote be the anti-derivative of the inside expression, i.e. a function such that .then use the fundamental theorem of calculus:     differentiate again to get second derivative. we can use chain rule with 1/x as the outside function and 1 + x + x² as the inside function    find critical numbers of the second derivative. these numbers are where the 2nd deriv. is undefined or zero.where the 2nd derivative is zero: set (d²y/dx²) to equal 0 and solve for x    where the 2nd derivative is undefined: if the denominator is equal to zero, the derivative will be undefeined. attempting to solve the equation    1 + x + x² = 0results in a discriminant of      meaning that the equal 1 + x + x² = 0 has no real solutions and therefore will never equal zero.======our only critical number is x = -1/2.this forms two intervals to test the sign for: (-∞, -1/2) and (-1/2, ∞)test values into the 2nd derivative for (-∞, -1/2)if we try x = -1, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the curve is concave up on (-∞, -1/2)test values into the 2nd derivative for (-1/2, ∞)if we try x = 0, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the  curve is concave down on (-∞, -1/2).the interval on which the curve is concave up is  (-∞, -1/2)