A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is at most two in every ten thousand. Assuming that a hypothesis test to support this claim has been conducted and that the conclusion is fail to reject the null hypothesis, state the conclusion in nontechnical terms.

A manufacturer considers his production process to be out of control when defects exceed 4.1%. In a random sample of 125 items, the defect rate is 8.8% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 10% level of significance, use the critical value method to test the manager's claim. Enter the test statistic. (Round your answer to nearest hundredth.)

A manufacturer considers his production process to be out of control when defects exceed 4.3%. In a random sample of 112 items, the defect rate is 9.8% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 10% level of significance, use the p-value method to test the manager's claim. Enter the p-value. (Round your answer to nearest thousandth.)

A medical school claims that less than 28% of its students plan to go into general practice. It is found that among a random sample of 50 of the school's students, 24% of them plan to go into general practice. Find the P-value for a test to support the school's claim. (Round your answer to nearest ten-thousandth.)