Practice Computing Hypothesis Test In this worksheet we are going to focus on hypothesis test for a single mean or a single proportion. Provided below are the basic steps of calculating a hypothesis test. The Basic Steps to Calculating a Hypothesis Test You want to start by determining whether you are interested in working with a mean or a proportion, Then identify each of the parts listed below. 1. In order to use the formulas for a hypothesis test we first need to confirm that the sample size requirements for the central limit theorem are satisfied. See the notes for more information. If the sample size is not met acknowledge that you need to proceed with caution. 2. Identify the null and alternative hypotheses. The null hypothesis will be listed first. When working with a proportion the hypothesis will include that symbol for the population proportion, p. When working with a mean the hypothesis will include that symbol for the population mean, u. 3. Calculate the appropriate test statistic. When working with proportions you will calculate a z- statistic. When working with means you will calculate a t-statistic. 4. Compare your test statistic to the appropriate distribution to find the p-value. 5. Conclude the test in context of the problem. For each of the four problems below provide all of the steps listed above. Complete all of the work by hand and show your work. You may use the applications listed in the notes to check your work. 1. Suppose a consumer group claims that the proportion of households that have 2 working adults is 80%. An employment agency has reason to believe that the proportion differs from 80% Before the employment agency starts a big advertising campaign, they conduct a hypothesis test. Their marketing people survey 150 households with the result that 124 of the households have 2 working adults. Perform the test at the 10% significance level. 2. Unfortunately, arsenic occurs naturally in some ground water (Reference: Union Carbide Technical Report K/UR-1). A mean arsenic level of 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 35 tests gave a mean of 7.2 ppb arsenic, with standard deviation of 1.9 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8ppb? Use a = 0.01. 3. According to https:/ews.gallup.com/poll/235280/americans-say-pornography-morally- acceptable.aspx , dated June 5, 2018, a poll conducted by Gallup asked 1024 randomly selected U.S. adults whether they believe pornography was morally acceptable. Assume that 440 survey respondents said they believe pornography was morally acceptable. Is there evidence that fewer than 40% of adults in the U.S. believe pornography is morally acceptable? Perform the hypothesis test using a 5% significance level 4. Chips Ahoy cookies claim that there are more 1,000 chips in every bag. A group of Air Force cadets bought bags of Chips Ahoy! cookies from all over the country to verify the claim_. They hand counted the number of chips in 42 bags. They found x = 1261.6 chips and s = 117.6 chips. Use a = 0.01