1. Test the claim that the proportion of people who own dogs is less than 33%.A randomsample of 1000 people found that 27.7% owned dogs.Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 10% level of significance.Give answer to at least 4 decimal places.

What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) a. H₀: Select an answer: p s s p x > = < ________ b. H₁: Select an answer p s p x s > = < ________

Based on the hypotheses, find the following:

c. Test Statistic = d. p-value =

e. Based on the above we choose to Select an answer : Fail to reject the null hypothesis, Accept the null hypothesis, Reject the null hypothesis, Accept the alternative hypotheis

f. The correct summary would be: Select an answer: There is not enough evidence to support the claim, There is enough evidence to reject the claim, There is enough evidence to support the claim, There is not enough evidence to reject the claim ____ that the proportion of people who own dogs is less than 33%

2. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.1% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000people in a certain city, 11.3% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the trueproportion of people in that city suffering from depression or a depressive illness is morethan the 9.1% in the generaladult American population.Test the relevant hypotheses using a 10% level of significance.Give answer to at least 4 decimal places.

What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)

a. H₀: Select an answer s x p s p < > = __________ b. H₁: Select an answer p x s s p < = > __________

Based on the hypotheses, find the following:

c. Test Statistic = d. p-value =

e. Based on the above we choose to Select an answer: Accept the null hypothesis, Accept the alternative hypotheis, Fail to reject the null hypothesis, Reject the null hypothesis

f. The correct summary would be: Select an answer: There is enough evidence to support the claim, There is not enough evidence to reject the claim, There is enough evidence to reject the claim. There is not enough evidence to support the claim _______ that the trueproportion of people in that city suffering from depression or a depressive illness is morethan the percent in the generaladult American population of 9.1%.

3. The US Department of Energy reported that 45% of homes were heated by natural gas. A random sample of 310homes in Oregonfound that 141were heated by natural gas.Test the claim that proportion of homes inOregon that were heated by natural gas is different than what was reported. Use a 1% significance level.Give answer to at least 4 decimal places.

What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)

a. H₀: Select an answer s s p p x < > = ________ b. H₁: Select an answer s x s p p > = < ________

Based on the hypotheses, compute the following: c. Test Statistic = d. p-value =

e. Based on the above we choose to Select an answer :Accept the alternative hypotheis, Accept the null hypothesis, Fail to reject the null hypothesi,s Reject the null hypothesis

f. The correct summary would be: Select an answer: There is enough evidence to reject the claim. There is not enough evidence to reject the claim, There is enough evidence to support the claim. There is not enough evidence to support the claim _______ that the proportion of homes inOregon that were heated by natural gas is different than what the DOE reported value of 45%.

4. You are conducting a study to see if the proportion of men over the age of 50 who regularly have their prostate examinedis significantly less than34 %. A randomsample of 719 men over the age of 50 found that 207 have their prostate regularly examined.Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 1% level of significance.Give answer to at least 4 decimal places.

What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) a. H₀: Select an answer p p x s s > < = ______ b. H₁: Select an answer p s p s x > = < _______

Based on the hypotheses, find the following:

c. Test Statistic = d. Critical-value=

5. You are conducting a study to see if the proportion of voting precincts with at least 2/3 of voter turnout is more than 32 %. A random sample of 103 precincts found that 77 have at least 2/3 of voter turnout. Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places.

What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) a. H₀: Select an answer s p x s p < > = _______ b. H_A: Select an answer x s s p p < > = _______

Based on the hypotheses, find the following:

c. Test Statistic = d. Critical-value=