Question

Diego is testing a claim about a population mean. The hypotheses are: Ho: u = 137 H: 4 > 137 After taking a simple random sample of 58 subjects, he determines that the sample mean is 140. Diego then does some calculations and writes the following in his notebook: "If Ho were true, the chance that the sample mean would have come out as big (or bigger) than 0.17." What is the name given to the value of 0.17? o alternative hypothesis claim O null hypothesis O critical value o test statistic parameter population proportion O sample size statistic sample proportion O confidence level Op-value If the significance level is 0.1, what do you think he should conclude about the null hypothesis? Reject the null. Do not support the null. O Fail to reject the null. Support the null. Explain why you chose that conclusion. Your explanation should include: • Identify the "rule" you used to come to your conclusion. • An explanation of why that "rule" is applied in the way you did.

Answer 1

Ans:

Correct option is:

P-value

Explanation : P-value is the probability of obtaining results as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct.

Significance level,alpha=0.1

When p-value>alpha,we fail to reject the null hypothesis.

As,p-value>0.1,we Fail to reject the null hypothesis.