For Problems 14, state the nll hypothesis, the alternative hypothesis, the test statistic, the test {in the form \"the test rejects H0 if .-.\" ), and the pvalne- Determine Whether we accept or reject the null hypothesis based on both approaches: via the test itself and via the pvalue. Compute each numerical value to at least two digits after the decinlal point (more if necessary). Note that the pvalue can sometimes be verj.r large {c.g., > 0.5) or small (e.g., close to U), which just means that it is easy to make a decision. A gun-like apparatus has recently been designed to replace needles in administering vaccines. The apparatus can be set to inject different amounts of the scrum, but because of random fluctuations, the actual amount injected is normally distributed with a mean equal to the setting and with an unknown variance o. It has been decided that the apparatus would be unsafe to use if o > 0.1. If a random sample of 50 injections resulted in a sample standard deviation of 0.08, does this support the safety of the apparatus at the level of significance 0.01