A law enforcement agent believes that more than 88% of the drivers stopped on Saturday nights for speeding are under the influence of alcohol. A sample of 60 drivers who were stopped for speeding on a Saturday night were taken and 54 of the drivers in the sample were under the influence of alcohol. Question 1 State the null and alternative hypotheses.  Question 2 Determine the critical value and rejection region (rounded off to three decimals).  Question 3 Calculate the test statistic (rounded off to two decimals) and interpret your finding

Suppose 206 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p=0.20 H₁: p0.20 OC. Ho:p>0.20 H₁: p=0.20 OD. Ho: p=0.20 H₁: p0.20 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Fail to reject Ho. There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. OB. Fail to reject Ho. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. OC. Reject Ho. There is sufficient evidence to warrant…

40 people are randomly sent to walk one of four trails. The time (in minutes) they spend completing each trail is recorded in the table below. (a) Test to see if the times needed to complete a trail vary. Use a 0.05 significance level. (b) Test each pair (A/B, A/C, A/D, B/C, B/D, C/D) to see which trails have a statistically significant difference. Indicate your p-value for each comparison, and when the effect is statistically significant (use 0.05 as your significance level), declare which trail of the two takes more time to complete. Trail A - 30, 33, 41, 27, 36, 31, 37, 40, 29, 35 Trail B - 27, 33, 38, 41, 40, 38, 35, 44, 41, 39 Trail C - 25, 34, 41, 39, 32, 30, 36, 35, 27, 33 Trail D - 41, 39, 46, 37, 40, 42, 50, 42, 50, 33, 47, 43

A news article that you read stated that 51% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 122 of the 248 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? ✓ Select an answer H₁: ? Select an answer (please enter a decimal) (Please enter a decimal) c. The test statistic ? d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should Select an answer the null hypothesis. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

The US Department of Energy reported that 45% of homes were heated by natural gas. A random sample of 348 homes in Oregon found that 156 were heated by natural gas. Test the claim that proportion of homes in Oregon 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.) Ho: P Test Statistic = =✓ ✓ OF H₁: P Based on the hypotheses, compute the following: p-value = 45 0° 45 OB vo

Consider a drug testing company that provides a test for marijuana usage. Among 266 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative). Use a 0.05 significance level to test the claim that less than 10 percent of the test results are wrong. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p0.1 O C. Ho: p= 0.1 H: p#0.1 O D. Ho: p=0.1 H:p<0.1 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is sufficient evidence to warrant support of the claim that less than 10 percent of the test results are wrong. O B. Reject Ho. There is sufficient evidence to warrant support of the claim that less than…

In a random sample of​ males, it was found that 27 write with their left hands and 210 do not. In a random sample of​ females, it was found that 55 write with their left hands and 454 do not. Use a 0.05 significance level to test the claim that the rate of​ left-handedness among males is less than that among females. Complete parts​ (a) through​ (c) below.       Question content area bottom Part 1 a. Test the claim using a hypothesis test.   Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis​ test?     A. H0​: p1=p2 H1​: p1>p2   B. H0​: p1≥p2 H1​: p1≠p2   C. H0​: p1≠p2 H1​: p1=p2   D. H0​: p1=p2 H1​: p1≠p2   E. H0​: p1=p2 H1​: p1<p2   F. H0​: p1≤p2 H1​: p1≠p2 Part 2 Identify the test statistic.   z=enter your response here ​(Round to two decimal places as​ needed.) Part 3 Identify the​ P-value.…

In a program designed to help patients stop smoking, 243 patients were given sustained care, and 80.7% of them were no longer smoking after one month. Use a 0.05 significance level to test the claim that 80% of patients stop smoking when given sustained care.. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho p=0.8 H₁: p=0.8 OB. Ho: p=0.8 H₁: p>0.8 OC. Ho p 0.8 H₁ p=0.8 OD. Ho: p=0.8 H₁ p<0.8

The US Department of Energy reported that 46% of homes were heated by natural gas. A random sample of 325 homes in Oregon found that 126 were heated by natural gas. Test the claim that proportion of homes in Oregon 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.) Ho: Select an answerv H4: Select an answer v? v Based on the hypotheses, compute the following: Test Statistic = p-value = Based on the above we choose to Select an answer The correct summary would be: Select an answer homes in Oregon that were heated by natural gas is different than what the DOE reported value of 46%. that the proportion of

A newsletter publisher believes that less than 44 % of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim?