Question

1. A nutritionist claims that the percentage of people that get too much sodium in their diet is greater than 60% and decides to test this assertion by computing the proportion for a random sample. The data results in a test statistic of z = 2.96 and a Pvalue of .0015 a. State the hypotheses for their test. b. Briefly describe what the P-value is. c. Using the test statistic, how was the P-value found? d. Based on the P-value what conclusion should the nutritionist make? In particular, do they have enough evidence in support of their claim? 2. A researcher posted that based on a random sample they did not find statistically significant evidence that the proportion of people following appropriate distancing and mask guidelines was different than 0.50. a. State the null and alternative hypotheses. b. How many sides does this test have? c. Briefly explain what the researcher meant by “they did not find statistically significant evidence”. 3. To test the claim that the percentage of voters that voted in the last presidential election is less than 60%, a researcher randomly sampled 900 voters. 513 voted in the last election. a. State the null and alternative hypotheses. b. Compute the test statistic (z value). c. Compute the P-value. d. What conclusion should be made at a 5% significance level?

Answer 1