Identifying Claims: Identify the claim in statistic notation.

The mean distance traveled to school by students at South Piedmont is less than 9 miles.

(b) A majority of Americans are optimistic about the impact artificial intelligence will have on people's lives and work.

(c) The average price consumers in the United States spend out of pocket on education annually has increased from the 2010 average price of $1,074.

(d) The percentage of those in favor is 0.05%.

(2) Concluding on the Original Claim: Make a conclusion on the original claim with the given information.

The original claim is the null hypothesis and the conclusion on the null is reject.

(b) The original claim is the null hypothesis and the conclusion on the null is fail to reject.

(c) The original claim is the alternative hypothesis and the conclusion on the null is reject.

(d) The original claim is the alternative hypothesis and the conclusion on the null is fail to reject.

(3) Finding differences

What is the difference between 4 and 29?

(b) 0.9823 0.8223

(c) 0.8223 0.9823

Practice Hypothesis Testing for Two Population Parameters For each question, answer any sub questions and complete parts (a) - (d) when asked to perform a hypothesis test:

1. Identify the claim in symbolic notation and the hypotheses to test.

(b) Find the P-value.

(c) Make a conclusion on the null hypothesis.

(d) Make a conclusion on the original claim.

The Garden veggie nuggets come in two flavors: BBQ and buffalo. Both packages claim to have the same amount, 9 ounces of nuggets. A simple random sample of 49 BBQ nugget packages found a mean of 8.98 ounces and a standard deviation of 0.08 ounces. A simple random sample of 45 buffalo nuggets packages found a mean of 8.90 ounces and a standard deviation of 0.25 ounces. Use hypothesis testing, a 0.05 significance level, and the sample evidence to test the claim that the packages have the same mean amount of nuggets in ounces.

(2) A podcast claims that the percent of those in favor of renewable energy in 2017 has changed from the percent found in 2000. In 2000, a simple random sample of 1,500 members from the population were surveyed with 112 in favor. In 2017, a simple random sample of 2,100 were surveyed from the population with 420 in favor. Test the claim made by the podcast using a 0.05 significance level.

(3) A claim in a recent news segment stated that couples who live together are spending the same amount of money annually on food for the home. To test this claim, a research study collected the annual amount spent on food for the home from 10 couples, found in Table 7. Use a 0.05 significance level and the sample data to test the claim that the mean amount spent annually by each partner is the same.

(4) Use a 0.01 significance level to test the claim that the mean amount, in dollars, spent by an American on groceries for food is greater in 2017 than it was in 2007. A simple random sample from 2007 of 1,235 Americans found a mean amount of $2,485 spent annually on groceries for food and a standard deviation of $88. A simple random sample from 2017 of 2,310 Americans found a mean amount of $4,300 spent annually on groceries for food and a standard deviation of $103.

Practice Create Confidence Intervals For each question in the previous practice: (a) identify the significance level, (b) identify the type of test, (c) create an appropriate confidence interval estimate, and (d) interpret the interval in context of the scenario.