In a test of statistical hypotheses, the P-value tells us O the probability of observing a sample mean as we did or something more unusual if the null hypothesis is true. if the null hypothesis is true. if the alternative hypothesis is true. the largest level of significance at which the null hypothesis can be rejected.

A public opinion poll surveyed a simple random sample of voters. Respondents were classified by gender (female or male) and by voting preference (Republican, Democrat, or Independent). The results are presented here: Republican 250 200 Female Male You want to determine if gender and voting preference are independent. Use a level of significance of a = 0.05. Are the requirements met for this hypothesis test? Explain. O Yes. A random sample was used, and all expected counts are greater than or equal to 5. O Yes. A random sample was used, and all observed counts are greater than or equal to 5. O No. A random sample was used, but at least one of the expected counts is less than 5. O No. A random sample was not used. Democrat 300 150 Independent 50 50

If the decision in a hypothesis test said to reject Ho, then we can always make a conclusion that the sample data supports the claim. True False

true or false  If the p-value is 0.13 and the level of significance , αα , is 0.05 in a hypothesis test for a mean, then we accept the null hypothesis.