Refer to Exercise 2. For Yvonne's survey, 96 students in the sample said they rarely or never argue with friends. A significance test yields a P-value of 0.0291.
(a) Interpret this result in context.
(b) Do the data provide convincing evidence against the null hypothesis? Explain.
a. Chance that students in the sample said rarely or never argue with friends is
b. Yes, the data provide convincing evidence against the null hypothesis
sample size is
population value is
new population value is 0.0291
Calculating the null and alternative hypotheses,
The chance that students in the sample said rarely or never argue with friends is if the population proportion is .
The null hypothesis is not accepted as the value of p is less than the significant level of or
But which is less than .
Yes, the data provide convincing evidence against the null hypothesis
Paying high prices? A retailer entered into an exclusive agreement with a supplier who guaranteed to provide all products at competitive prices. The retailer eventually began to purchase supplies from other vendors who offered better prices. The original supplier filed a lawsuit claiming violation of the agreement. In defense, the retailer had an audit performed on a random sample of invoices. For each audited invoice, all purchases made from other suppliers were examined and compared with those offered by the original supplier. The percent of purchases on each invoice for which an alternative supplier offered a lower price than the original supplier was recorded. For example, a data value of means that the price would be lower with a different supplier for of the items on the invoice. A histogram and some computer output
for these data are shown below. Explain why we should not carry out a one-sample t-test in this setting.
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