3.1.8 When conducting a two-sided test of significance, the value of the parameter under the null hypothesis is plausible and will be contained in a 95% confidence interval when: a. The p-value is less than or equal to 0.05. b. The p-value is greater than 0.05. c. There is no relationship between the p-value and the confidence interval.

b. The p-value is greater than 0.05.

Step-by-step explanation:

When we are testing a hypothesis, we have to look at the pvalue.

If the pvalue is less than the significance level, the null hypothesis is not plausible. Otherwise, if the pvalue is more than the significance level, the null hypothesis is plausible.

In this question:

95% means that the significance level is of 1 - 0.95 = 0.05.

Null hypothesis being plausible means that the pvalue is greater than the significance level, that is, greater than 0.05. So the correct answer is given by option b.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!