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

The decision to reject or fail to reject the null hypothesis is based on:a.The researcher's personal beliefsb.The p-value obtained from the statistical testc.The sample size used in the studyd.The population size used in the study

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

Suppose we have a Proportion Test, testing the % of iPhone users in a class.The null hypothesis H0 is: p = 0.5.We take a sample of 10, and the observed value is 7.What is the test statistic?

Suppose that a major polling organization wanted to test the hypothesis that there was a change in the president’s “approval rating” since last month. Last month, 35% of the representative sample of registered voters approved of the president. For this month, the null hypothesis was that the approval rating equals 35% and the alternative hypothesis is that the approval rating does not equal 35%. The significance level for this test was 0.05.The results of the hypothesis test of the new survey showed a p-value of 0.008.Which of the following statements is correct? Check all that apply. The results were statistically significant. The results were not statistically significant. The null hypothesis should be rejected. The null hypothesis should be accepted. The null hypothesis cannot be rejected.

For testing the difference between two population proportions, the pooled proportion estimate should be used to compute the value of the test statistic when the:Group of answer choicespopulations are normally distributed.sample sizes are large enough.null hypothesis states that the first population proportion is half of the second.null hypothesis states that the two population proportions are equal.