1- Express the null hypothesis and the alternative hypothesis in symbolic form: An entomologist writes an article in a scientific journal, which states that fewer than 7 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies that cannot produce light.

2- A simple random sample of 50 adults is obtained and each person's red blood cell count (in cells per microliter) is measured.The sample mean is 5.23 and the sample standard deviation is 0.54. Use a significance level of 0.01 to test the assertion that the sample is from a population with a mean less than 5.4.

Based on the above situation, calculate the value of the test statistic.

3 - How to conduct a study correctly? Formulate the stated conclusion in non-technical terms. Be sure to address the original assertion: A researcher claims that 62% of voters are in favor of gun control. Assuming that a hypothesis test has been performed and that the conclusion is to reject the null hypothesis, state the conclusion in non-technical terms.

4.- A buyer wants to compare the cost (in dollars) of airline tickets purchased one day in advance with those purchased 30 days in advance for flights from New York (JFK) to San Francisco by various airlines. Use a significance level of 0.01 to test the assertion that regular one-day-ahead flights cost more than regular 30-day-ahead flights. You use a computer program and find that the p value = 0.0016. What can you state about the sample (dependent or independent) and what can you conclude about the evidence?