A quality engineer inspects a sample of 150 switches from a large shipment of which 8% fail to conform to specifications. Test the hypothesis according to which the true shipment proportion is 10% or more against the alternative that it is smaller than 10%
(c) Give the null and alternative hypotheses for performing a significance test in this setting.
(d) Find the test statistic.
(e) Find the P-value.
(f) Write a short summary of your conclusion.
(g) Justify the choice of the null distribution (the distribution that prevail for your statistic when the null hypothesis is true)