Dr. jameson wanted to know if intelligence quotient (iq) scores differed between male and female participants in his study. he gave 28 participants an iq test and then compared iq scores for gender differences. he hypothesized that there would be a statistically significant gender difference in iq scores. contrary to dr. jameson's hypothesis, there were no differences in iq scores between men and women in his study. which test was dr. jameson most likely to use to test his hypothesis?

Dr. Jameson was most likely to use a t-test for independent samples (also called an independent t-test or two-sample t-test) to test his hypothesis that there would be a statistically significant gender difference in IQ scores.

The independent t-test is a statistical procedure that determines whether there is a statistically significant difference in the means (average scores) from two unrelated (independent) groups. In this case, the two groups are the male participants and the female participants in his study.

Here are the logical steps Dr. Jameson would have taken:

1. Formulate the Hypothesis: Dr. Jameson's null hypothesis (H0) would state that there is no difference in IQ scores between male and female participants, while his alternative hypothesis (H1) would state that there is a difference.

2. Conduct the IQ Test: He would administer an IQ test to all 28 participants.

3. Divide Participants by Gender: Next, he would categorize the participants into two groups based on their gender: male and female.

4. Calculate the Mean and Standard Deviation: He would then calculate the mean IQ score and the standard deviation for each group.

5. Perform the t-test: Using the calculated means, standard deviations, and the number of participants in each group, Dr. Jameson would perform the t-test to find the t-value along with its corresponding p-value.

6. Evaluate the Results: The p-value obtained from the test is compared against a significance level (commonly 0.05). If the p-value is less than the significance level, the null hypothesis is rejected, implying that there exists a significant difference between male and female IQ scores.

Given that the study found no differences in IQ scores between the genders, it suggests that the p-value was not less than the significance level, and therefore, Dr. Jameson would fail to reject his null hypothesis.