Test Hypotheses About a Population Proportion
-A New Gun-Like Apparatus $0.07$

Test Hypotheses about a Population Proportion
-A new gun-like apparatus has been devised to replace the needle in administering vaccines. The apparatus, which is connected to a large supply of vaccine, can be set to inject different amounts of the serum, but the variance in the amount of serum injected to a given person must not be greater than $0.07$ to ensure proper inoculation. A random sample of 36 injections was measured. Suppose the $\mathrm { P }$ -value for the test is $\mathrm { p } = 0.0024$ . State the proper conclusion using $\alpha = 0.01$ .