Question

After comparing response times between the audio and picture portions of the MIT test, the t-test resulted in a t-value of 2.97. Given that the sample size was 250 and the t-value at p = 0.05 is 1.96, what can I conclude from this data?
a. accept the hypothesis, the sample size is too small.
b. accept the null hypothesis, the sample size is large enough.
c. reject the hypothesis, the p value is less than 0.05. therefore the difference is significant.
d. we cannot conclude anything because the sample size is too small.
e. reject the null hypothesis the p value is less than 0.05. therefore the difference is significant.

Answer 1

Answer:

e. reject the null hypothesis the p value is less than 0.05. therefore the difference is significant.

Step-by-step explanation:

given that after comparing response times between the audio and picture portions of the MIT test, the t-test resulted in a t-value of 2.97.

test statistic t = 2.97

Sample size n =250

Critical value of t at 95% is 1.96

We find that test statistic absolute value is greater than 1.96

So p value would be less than 0.05

This implies that null hypothesis stands in the rejected region.

So reject null hypothesis would be correct conclusion.  Sample size cannot be said to be small as more than 30 itself is a good sample size.

e. reject the null hypothesis the p value is less than 0.05. therefore the difference is significant.