g. Now let's use your TI-83/84 calculator to find the test statistic and p-value. Go to STAT -> TEST -> 5:1-PropZTest (because we are using 1 sample involving a proportion, the critical value & test statistic are z-scores, and we are doing a hypothesis test.). Input the required information. Write down what you see in the space below. 2. Now conduct the same hypothesis test, but this time use a 1% significance level. a. Requirement Check b. Write down known information and hypotheses Type of test: - tailed c. Find critical value(s). Then draw and label the picture of the distribution. d. Find the test statistic z = =P Then label the test statistic on the picture. e. Use the test statistic to find the p-value. f. Using the test statistic and the p-value, state your conclusion. g. How do your conclusions at the 1% significance level compare with those at the 5% significance level? Note: It is very important to decide on a BEFORE you run the calculations. It is unethical/dishonest to solve the problem and then decide what the level of significance should be.1 Sample Hypothesis Tests for Proportions Statistics Lesson 21: Individual Preparation Name: met: Before we conduct a hypothesis test involving a proportion, the following requirements MUST be Conditions for binomial distribution are satisfied (i.e. n fixed independent trials, two possible outcomes, constant probabilities for each trial) . . A random sample is being used The sample size is big enough. For proportions, this means np 2 10 AND na 2 10. 1. A survey done one year ago showed that 25% of the population participated in recycling programs. In a recent poll, a random sample of 110 people showed that 36 participate in recycling programs. Does the data indicate that the proportion of the population who participate in recycling programs is greater than it was one year ago? Use a 5% significance level. a. Requirement Check b. Write down known information and hypotheses. Type of test: - tailed c. Find critical value(s). Then draw and label the picture of the distribution. d. Find the test statistic z = =P P.q Then label the test statistic on the picture. e. Use the test statistic to find the p-value. f. Using the test statistic and the p-value, state your conclusion