(*In some books, they use the statement that is the opposite of for the null hypothesis. Putting these together, the null and alternative hypotheses are: The null hypothesis is the equality* statement using the same value: In this case, that is the population mean. In hypothesis testing, we are trying to understand a population value using a sample, so your hypothesis should be in terms of the population parameter. Here, you are testing the firm’s belief that the mean time spent is more than 7 days. The alternative hypothesis is a statement about what you are testing. At a significance level of 0.05, does this survey provide evidence to support the firm’s belief? Step 1: Write the null and alternative hypotheses ![]() They conduct a survey of 32 people who had recently purchased a TV and found that the mean time spent researching the purchase was 7.8 days with a standard deviation of 3.9 days. Suppose that a marketing firm believes that people who are planning to purchase a new TV spend more than 7 days researching their purchase. Example: performing a t-test on the calculator For this example, assume that the requirements for a hypothesis test for the mean are met (randomly selected sample, independent observations, large population size). We will use an example to see how this process works.
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