A marketing analyst believes that the willingness to buy a brand of toothpaste is low. Specifically, the analyst expects the average brand preference to be below 3, on a scale of 1 to 10. The analyst draws a random sample of 50 people and administers a short survey, seeking their brand preference. The analyst finds that the sample mean is 4, the sample standard deviation is 5. Even though the sample mean is higher, the analyst believes that the average brand preference is indeed below 3. Do you agree with the analyst? Present a hypothesis test, including the null and alternative hypothesis, specifying the type of test - one tailed or two tailed, if one tailed whether left or right. Compute the test statistic, and interpret the result.