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A report summarizes data from independent representative samples of approximately 1 000 people in each of 28 different countries The report asked people if they thought that in general teachers in their country were trustworthy or untrustworthy In the sample from the United States 59 responded trustworthy In the sample from Canada 64 responded trustworthy For this exercise assume that the two sample sizes were 1 000 Based on these data can you conclude that the proportion of people in the United States who think that teachers in their country are trustworthy is less than this proportion for people in Canada Use 0 05 Let p be the population proportion of people in the United States who think their teachers are trustworthy and p be the population proportion of people in Canada who think their teachers are trustworthy LUSE 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 MY NOTES 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 in the United States who think that teachers in their country are trustworthy is less than this proportion for people in Canada Fail to reject Ho We do not have convincing evidence that the proportion of people in the United States who think that teachers in their country are trustworthy is less than this proportion for people in Canada Reject Ho We do not have convincing evidence that the proportion of people in the United States who think that teachers in their country are trustworthy is less than this proportion for people in Canada Reject Ho We have convincing evidence that the proportion of people in the United States who think that teachers in their country are trustworthy is less than this proportion for people in Canada

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