In a national survey of 1987 adults, 1570 responded that lack of respect and courtesy in american society is a serious problem, and 1257 indicated that they believe that rudeness is a more serious problem than in past years. is there convincing evidence that more than three-quarters of u. s. adults believe that rudeness is a worsening problem? test the relevant hypotheses using a significance level of 0.05. (round your test statistic to two decimal places and your p-value to four decimal places.)

As per given , we  have

Since , alternative hypothesis is right tailed, so the test is a right tailed test.

n= 1987

Proportion of adults believe that rudeness is a worsening problem :

Test statistic :

(since , the normal curve takes values of z from -7 to 7, so we use critical value to draw conclusion.)

The critical value for a significance level of 0.005= 1.645

Since , absolute test statistic value (12.09) is greater than the critical value (1.645), it means there is statistical significance and so we reject the null hypothesis.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

(-5,-28)

i graphed to on desmos.