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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- 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.…Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires caused by humans in the west? 356 of the 579 randomly selected wildfires looked at in the south were caused by humans while 322 of the 597 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Hn: Select an answer v Select an answer v Select an answer v (please enter a decimal) Hj: Select an answer v Select an answer v Select an answer v (Please enter a decimal) c. The test statistic ? v= (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.01, so there is sufficient…
