Since the population proportion is not specified, it is common practice to use 50% in tis place. You cannot define the population proportion as 25% for problem 1-5..

A company claims to have invented a hand-held sensor that can detect the presence of explosives inside a closed container. Law enforcement and security agencies are very interested in purchasing several of the devices if they are shown to perform effectively. An independent laboratory arranged a test. They placed four empty boxes in the corners of an otherwise empty room. For each trial they put a small quantity of an explosive in one of the boxes selected at random. The company's technician then entered the room and used the sensor to try to determine which of the four boxes contained the explosive. The experiment consisted of 50 trials, and the technician was successful in finding the explosive 16 times. Does this indicate that the device is effective in sensing the presence of explosives?

1.Specify the parameter(s) in question. What type of hypothesis test will be used?

2.Write the null and alternative hypothesis using appropriate symbols.

3.Determine the test statistic showing the work for the formula.

4.Specify the p-value and what it represents in the problem using the appropriate probability distribution.

5.Interpret your results. (Explain clearly how the decision is made in terms of the null hypothesis and give a conclusion in context.)