In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax returns. Use a 0.01 significance level to test the claim that 75% of adults say that it is morally wrong to not report all income on tax returns.

What are the null and altenative hypothesis?

What is the test statistic?

What is the P-value?

What is the Conclusion?

In the problem given below, test the claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.

"A sample of 106 body temperatures has a mean of 98.20. Assume that is known to be 0.62. Use a 0.05 significance level to test the claim that the mean body temperature of the population is equal to 98.6, as is commonly believed. Is there sufficient evidence to conclude that the common belief is wrong?"

In the problem given below, assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypothesis, test statistic, P-value and state the final conclusion that addresses the original claim.

"A simple random sample of 25 filtered 100 mm cigarettes is obtained and the tar content of each cigarette is measured. The sample has a mean of 13.2 mg and a standard deviation of 3.7 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest about the effectiveness of the filters?"

A simple random sample of front-seat occupants involved in car crashes in obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were killed. Use this data with 0.05 significance level to test the claim that the fatality rate is higher for those not wearing seat belts. (Write all necessary steps like Hypotheses, Test Statistic, P-value & Conclusion)

(a) Describe the test for independence of attributes, stating clearly the conditions for its validity.

(b) The table below includes results from polygraph (lie detector) experiments conducted by researchers. In each case, it was known if the subject lied or did not lie, so the table indicates when the polygraph test was correct. Use - test for 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies?

Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 100 mm Hg (using Regression line).

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