An assembly line produces gears for the transmissions of a Toyota sedan. This particular assembly line produces over 25,000 gears per day. To test the machine the inspector will randomly sample 1,000 gears and run a diagnostic on each. If the machine is working normally, only 2% of the gears will fail the diagnostic. On a particular inspection, 30 of 1000 gears fail the diagnostic. The inspector is worried that this is too high, is this the result significant at the 1% level?

On a certain portion of an experiment, a statistical test result yielded a p-value of 0.18. what can you conclude? 2(0.18) = 0.36 < 0.5; the test is not statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 18% of the time, so the test is not statistically significant. if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 82% of the time, so the test is not statistically significant. 0.18 > 0.05; the test is statistically significant. p = 1 - 0.18 = 0.82 > 0.05; the test is statistically significant.

Which of these is the most likely way long-term economic growth takes place? a) increases in interest rates b) increases in overall price level c) increases in labor productivity growth d) increases in labor force participation rate

98 points! include an answer and in advance!