As part of the Mathematics Assessment, eighth-graders were asked about the frequency with which they used calculators while taking tests or quizzes. The results for national public schools were as follows: never, 28%; sometimes, 51%, and always, 21%. A random sample of 140 eighth-grade students in a large urban school district indicated that 30 said never, 78 said sometimes, and 32 said always. At α = 0.05 do these proportions differ from the national report?
Perform these steps.
a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.