If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? explain your answer. a. yes, the test was conducted with a risk of a type i error. b. yes, if we reject the null that suggests that it is false beyond all doubt. c. no, the test was conducted with a risk of a type ii error. d. no, the test was conducted with a risk of a type i error.

Yes, the test was conducted with a risk of a type I error.

Step-by-step explanation:

If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.

Yes, for a null hypothesis to be rejected, it has being proven beyond all doubt that the null hypothesis will not work. the normal distribution has being used for the probability calculation.

if the null hypothesis is rejected and the alternative hypothesis is accepted, a type I error as occur.

In general terms:

‘a hypothesis has been rejected when it should have been accepted’. When this occurs, it is called a type I error.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2