A new study shows that 35% of adults have never been married. To test if that is a true claim, we randomly sampled 250 adults is collected and 97 of them have never been married. Test if the true population proportion of adults that have never been married is 35% or not. Use a 5% level of significance. What type of hypothesis test is this (Proportion, Z Test, or T Test)?  What is the test statistic and critical value(s) for this test? Round answers to 2 decimal places.

Four scenarios of statistical studies are given below. Decide which study uses a population parameter. Answer O Lakeside Family Dentistry reported that 6 of the 15 patients who came in for a regular cleaning one day had at least one cavity. O As part of her senior project, Kaisa asked 84 of her classmates if they voted in the last presidential election. 39 said yes. O of 351 dog owners who were surveyed, 70 reported owning two dogs. The average finish time for the Ironman, Kona was 11:32 for the 1883 finishers, with an average swim time of 1:14, an average bike time time of 4:14.

As quality control inspector, you have previously believed a claim that 3.2% of items made on your production line are defective. To see if you should still believe this claim: you decide to do a two sided significance test, with a significance level of 2%. You then randomly sample 420 items from the production line, and find that 22 of the items are defective. Which of the following are correct general statements about the conclusion that you find from the significance test? Select all that apply 1. The P-value from your test, is less than or equal to your chosen alpha value. 2. Your sample results are not statistically significant. 3. You reject the null hypothesis in favor of the two sided alternative. 4. Your sample results are statistically significant 5. Based upon the evidence from your significance test, you should no longer believe the null hypothesis claim. 6. Based upon the evidence from your significance test, you have no reason to stop believing the null hypothesis…

A marketing agency wanted to determine if a new commercial changed people's opinion about a company. They recruited n=30 participants to watch the commercial. First, everyone was givien a survey to determine their attitudes toward the company. Then, everyone watched the new commercial. Finally, they were given the same survey again and asked about their attitudes toward the comapny after seeing the commercial. The agency wanted to see if attitudes were changed by the commercial. What statistical test should they use?