Among 1501 respondents to a survey, 20% said that there is no solid evidence to support global warming. use a 0.01 significance level to test the claim that less than 25% of the population believes that there is no solid evidence of global warming. state the final conclusion. a. there is not sufficient evidence to support the claim that less than 25% of the population believes that there is no solid evidence to support global warming. b. there is sufficient evidence to support the claim that less than 25% of the population believes that there is no solid evidence to support global warming. c. there is sufficient evidence to support the claim. d. there is sufficient evidence to support the claim that more than 25% of the population believes that there is no solid evidence to support global warming.

B. There is sufficient evidence to support the claim that less than 25% of the population believes that there is no solid evidence to support global warming.

Step-by-step explanation:

The following information has been availed;

n = 1501

sample proportion = 20% = 0.2

Level of significance = 0.01 = 1%

We are required to test the claim that less than 25% of the population believes that there is no solid evidence of global warming. In mathematical notation this claim can be written as;

p < 0.25, where p is the population proportion. From this information, we can formulate the following set of hypotheses;

H0: p ≥ 0.25

Ha: p < 0.25 (claim). This will be a left-tailed test.

The test statistic for hypothesis on population proportions is z, defined by the formula;

where p is the population proportion under the null hypothesis, that is p = 0.25.

Using the given information , the test statistic becomes;

The next step is to compute the p-value in our left-tailed test;

p-value = P(Z < -4.4736) = 0

Our p-value is less than the level of significance and thus we reject the null hypothesis in favor of the alternative hypothesis which is also our claim. The final conclusion is thus;

There is sufficient evidence to support the claim that less than 25% of the population believes that there is no solid evidence to support global warming.

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.

cause it equals more