If SPSS output tells you that Sig. = .65, this means: a) There is a 65% probability the null hypothesis is true. b) There is a 65% probability you have a statistically significant difference c) There is a 65% probability you can reject the null hypothesis. d) The difference is statistically significant at the 95% confidence level. p= .35

There is a 65% probability the null hypothesis is true.

Step-by-step explanation:

given data

Sig. = .65

solution

The p-value-based rule is that if the p-value is less than or equal to the significance level, we reject the null hypothesis, and if the p-value is greater than the significance level, we fail to reject the null hypothesis.

Now in the given condition, the p-value is = 0.65, and the significance level is 1 - 0.65 = 0.35. Since the p-value is less than or equal to the significance level

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1