Suppose you carry out a significance test of H0: μ = 3.5 versus Ha: μ < 3.5 based on sample size n = 17 and obtain t = –3.4. Find the p-value for this test. What conclusion can you draw at the 5% significance level? Explain. (4 points)

Group of answer choices

The p-value is 0.4982. We reject H0 at the 5% significance level because the p-value 0.4982 is greater than 0.05.

The p-value is 0.0018. We reject H0 at the 5% significance level because the p-value 0.0018 is less than 0.05.

The p-value is 0.5018. We fail to reject H0 at the 5% significance level because the p-value 0.5018 is greater than 0.05.

The p-value is 0.4982. We fail to reject H0 at the 5% significance level because the p-value 0.4982 is greater than 0.05.

The p-value is 0.0018. We fail to reject H0 at the 5% significance level because the p-value 0.0018 is less than 0.05.

The degrees of freedom are given by:

Now we can calculate the p value with this probability:

  And for this case the p value is lower than the significance level and the best conclusion would be:

The p-value is 0.0018. We reject H0 at the 5% significance level because the p-value 0.0018 is less than 0.05.

Step-by-step explanation:

Information given

sample size  

represent the value to check

represent the significance level

represent the p value

Hypothesis to verify

We want to verify if the true mean for this case is lower than 3.5, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

For this case the statistic is given by:

The degrees of freedom are given by:

Now we can calculate the p value with this probability:

  And for this case the p value is lower than the significance level and the best conclusion would be:

The p-value is 0.0018. We reject H0 at the 5% significance level because the p-value 0.0018 is less than 0.05.

answer: i think it is (1,-2)

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.