1. Identify the level of significance. 2. Formulate the alternative hypothesis, Ha: p ≠ po. 3. Determine the critical value.
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During the previous year, 55% of the people believed that there was an improvement in the country’s economy. This year, only 280 out of 500 randomly selected people believe that there is an improvement in the country’s economy. Using 0.05 level of significance, determine if this indicates a decrease in the number of people who believe that there is an improvement in the country’s economy.
1. Identify the level of significance.
2. Formulate the alternative hypothesis, Ha: p ≠ po.
3. Determine the critical value.
4. Illustrate the rejection region in the normal curve.
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- According to a report on consumer fraud and identity theft, 20% of all complaints for a year were for identity theft. In that year, Rhode Island had 717 complaints of identity theft out of 3498 consumer complaints. Does this data provide enough evidence to show that Rhode Island had a higher proportion of identity theft than 20%? Test at the 5% level. State the hypotheses. Họ: p ? Ha: P Calculate the test statistic. Round to four decimal places. Calculate the standardized test statistic. Round to three decimal places. z = Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is less than .05, reject Ho. O Since the p-value is greater than .05, fail to reject Hg. O Since the p-value is less than .05, fail to reject Hg. O Since the p-value is greater than .05, reject Ho. Interpret the results. O At the 5% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Rhode Island is more than…A health insurance company wants to determine if more than 25% of US residents have been to a hospital emergency room within the past year. It was found that in a sample of 1000 people, 28% indicated that they had been to an emergency room within the past year. With a significance level of 0.01, is there evidence to suggest that the proportion of US residents that have been to the emergency room in the past year is actually higher than 25%?p = proportion of students who drop out due to lack of economic resources A sociologist thinks that in his country the percentage of students who drop out due to lack of economic resources is different from 40%. He takes a sample of 70 student dropouts and finds that 37 of them dropped out due to lack of financial resources.Can the sociologist, with a significance level of 0.05, consider that the percentage of students who drop out due to lack of economic resources is different from 40%? Choose 1. The correct conclusion2. The correct interpretationSelect one:to)1. H0 is rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongb)1. H0 is not rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongc)1.…
