MY NOTES PRACTICE ANOTHER Suppose a report summarizes data from independent representative samples of approximately 1,000 people in each of 28 different countries. People in the samples were asked if they thought that, in general, scientists in their country were trustworthy or untrustworthy. In the sample from the United States, 63% responded trustworthy. In the sample from Canada, 66% responded trustworthy. For this exercise, assume that the two sample sizes were 1,000. Carry out a hypothesis test to determine if there is convincing evidence that the proportion of people who think that in general, scientists in their country are trustworthy differs for the United States and Canada. (Use a = 0.05. Let p be the population proportion of people in the United States who think their scientists are trustworthy and be the population proportion of people in Canada who think their scientists are trustworthy.) P2 I USE SALT State the appropriate null and alternative hypotheses. (Enter != for as needed.) Ho Ha Find the test statistic. (Round your answer to two decimal places.) Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. Fail to reject Ho. We have convincing evidence that the proportion of people who think that in general, scientists in their country are trustworthy differs for the United States and Canada. Reject Ho. We have convincing evidence that the proportion of people who think that in general, scientists in their country are trustworthy differs for the United States and Canada. Reject Ho. We do not have convincing evidence that the proportion of people who think that in general, scientists in their country are trustworthy differs for the United States and Canada. Fail to reject Ho. We do not have convincing evidence that the proportion of people who think that in general, scientists in their country are trustworthy differs for the United States and Canada. +