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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 USE SALT State the appropriate null and alternative hypotheses Enter for as needed Ho H 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 MY NOTES PRACTICE ANOTHER 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 t 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

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