Suppose we are interested in whether travelers departing to Bali have spent researching potential health risks.  Let the population proportion be denoted by p and assume we are interested in testing whether there is evidence that more than 40% of travelers have researched potential health risks.Which of the following represents the correct set of hypotheses for this 1-tailed test?a.H0: p = 0.4H1: p > 0.4b.H0: = 0.4H1:  < 0.4c.H0: = 0.4H1:  > 0.4d.H0: p = 0.4H1: p < 0.4

In testing the hypothesesH0: μ = 75.HA: μ < 75,the p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?Group of answer choicesNone of the above statements is correct.The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042.The probability that the population mean is smaller than 75 is 0.042.The smallest value of α that would lead to the rejection of the null hypothesis is 0.042.

Suppose we are conducting a hypothesis test with the following hypotheses:H0: p = 0.7H1: p > 0.7Furthermore suppose we get a p-value of 0.07 while using = 0.05, which of the following is the correct decision?a.At the 5% level of significance, there is significant evidence to reject H1 and retain H0.  b.At the 5% level of significance, there is significant evidence to retain H0c.At the 5% level of significance, there is significant evidence to reject H0 in favour of H1.  d.At the 5% level of significance, there is not significant evidence to reject H0.

In each of the following examples, a test for the population proportion (p) is called for. You are asked to select the right null and alternative hypotheses.Scenario 1: The UCLA Internet Report (February 2003) estimated that roughly 8.7% of Internet users are extremely concerned about credit card fraud when buying online. Has that figure changed since? To test this, a random sample of 100 Internet users was chosen, and when interviewed, 10 said that they were extremely worried about credit card fraud when buying online. Let p be the proportion of all Internet users who are concerned about credit card fraud.The null hypothesis in this case is:H0: p = 8.7H0: p = 0.087H0: p = 0.10H0: p ≠ 0.087H0: p > 0.087The alternative hypothesis in this case is:Ha: p > 0.087Ha: p < 0.087Ha: p ≠ 0.087Ha: p = 0.087Reset this ActivityScenario 2: The UCLA Internet Report (February 2003) estimated that a proportion of roughly .75 of online homes are still using dial-up access, but claimed that the use of dial-up is declining. Is that really the case? To examine this, a follow-up study was conducted a year later in which out of a random sample of 1,308 households that had Internet access, 804 were connecting using a dial-up modem. Let p be the proportion of all U.S. Internet-using households that have dial-up access.The null hypothesis in this case is:H0: p = 0.75H0: p = 0.615H0: p < 0.75H0: p > 0.615The alternative hypothesis in this case is:Ha: p > 0.75Ha: p < 0.75Ha: p ≠ 0.75Ha: p < 0.615

A two-tailed test is performed at a 5% level of significance. The p-value is determined to be 0.09. The null hypothesisGroup of answer choiceshas been designed incorrectlymust be rejectedshould not be rejectedmay or may not be rejected, depending on the sample size

Which of the following facts about the p-value of a test is correct? The larger the p-value, the more evidence the data provide against H0. Regardless of the significance level, a p-value of 0.01 provides enough evidence to reject H0. A p-value smaller than the significance level provides enough evidence to reject H0.