Question

A senior vice president of manufacturing is seeking strong evidence to support his fear that new operating procedures have increased the percentage of overfilled fertilizer bags from a production line. State his null and alternative hypotheses and indicate the results that would provide strong evidence. Let PO and PN represent the percentage of overfilled bags using the original and the new​ procedures, respectively. What are the null and alternative​ hypotheses?

Answer 1

Hypothesis testing is a kind of statistical inference , that involves asking a question, collecting data, and then examining what the data tell us about how to proceed. the hypothesis to be tested is called the null hypothesis and given the symbol (H_o) .We test the null hypothesis against an alternative hypothesis, which is given the symbol (H_a )

We can Consider null hypothesis is true . then what was the probability of sample those assume in alternative hypothesis. if their probability is small (Given Threshold probability or Significance value alpha ) then alternative hypothesis will accept otherwise not.

Here,

Null Hypothesis (H_o) : New operating procedures have increased the percentage of overfilled fertilizer bags from a production line.

Alternative Hypothesis(H_a): New operating procedures have decreased the percentage of overfilled fertilizer bags from a production line.