Question

The I-Recognition Test is a 100- question intellectual threshold test, designed to determine a bottom score of intellectual proficiency for all Federation crew-potential staff. All answers are graded as either correct or incorrect. They want to compare the two groups on I-Recognition Test scores to see if Group A has higher scores than Group B. One theory is that the exposure to certain rays in the nebulae may have caused an augmentation of intellectual functioning among the crew.

Group A: n= 30, x= 22

group B: n= 30, x= 18

i. determine if the samples are independent, why?

1. Determine whether the sample sizes are sufficiently large to conduct the hypothesis test.
2. set up the null and alternative hypothesis statements:
3. List all computer/calculator steps used in your calculations.
4. Determine the conclusion: Is there sufficient statistical evidence to support the claim that Group A scoring is higher than Group B scoring? List technology steps used to determine this. Use the p-value approach, given an alpha-level of .05.
5. Find the 95% confidence interval for the difference between the two sample proportions. Interpret the results in the context of the experiment. Be specific to the problem.

Answer 1

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