According to the us department of agriculture, 52.8% of american males between 20 and 39 years old prefer cow’s milk to any alternative. a company that produces various types of milk alternatives (e. g. almond and cashew milk) took a survey of 55 randomly selected american males between the ages of 20 and 39 and found that 17 of them prefer cow’s milk.
using a = 0.10, is there sufficient evidence to conclude that the percentage of american males between the ages of 20 and 39 who prefer cow’s milk has changed? conduct a full hypothesis test by following the steps below. enter an answer for each of these steps in your document.
i. define the population parameter in one sentence.
ii. state the null and alternative hypotheses using correct notation.
iii. state the significance level for this problem.
iv. calculate the test statistic “by-hand.” show the work necessary to obtain the value by typing your work and provide the resulting test statistic. do not round during the calculation. then, round the test statistic to two decimal places after you complete the calculation.
v. calculate the p-value using the standard normal table and provide the answer. use four decimal places for the p-value.
vi. state whether you reject or do not reject the null hypothesis and the reason for your decision in one sentence (compare your p-value to the significance level to do this).
vii. state your conclusion in context of the problem (i. e. interpret your results and/or answer the question being posed) in one or two complete sentences
e) explain the connection between the confidence interval and the hypothesis test in this problem (discuss this in relation to the decision made from your hypothesis test and connect it to the confidence interval you constructed in part ( answer this question in one to two sentences.