A pet adoption cernter researched the number of adoptions of dogs vs cats at four regional sites. Suppose observed freguencies were as follow Adoption Locations Pet Type 4s40 45 35 45 s0 40 4n Dogs Cats (0) Focusing on the proportion of dogs at each location, test the hypothesis that the population proportions are equal for all four locations. Use a o.05 level of significance State the nul and alternative hypotheses. O Ho Not all population proportions are equal. H, PA- Pa"Pc Po OH PAP Pc Po H Al population proportiohns are not equal O H Al populetion proportions are not equal. H PA" Pa Pc" Po O Mo PA Ps"Pc Po H, Not al population proportions are equal. Find the value of the test statistic (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) pvalue= What is your conclusion? O Reject H We conclude that the population proportions are not equal in each location, O Reject H We cannot reject the hypothesis that the population proportions are equal in each location ODo not reiect H We cannot relect the hypothesis that the population proportions are equal in each location

An auditor for a local court system is tasked with comparing the rulings of two judges. The auditor needs to determine if Judge Hughes issues shorter sentences than Judge Wilson. The data below are the sentence lengths, in months, issued by each judge in their last twelve cases that dealt with operating a motor vehicle without a license. Test the claim that Judge Hughes issues shorter sentences than Judge Wilson for this particular type of case at the 0.05 level of significance. Let Judge Hughes' sentences be Population 1 and let Judge Wilson's sentences be Population 2. Assume that both populations are approximately normal and that the population variances are equal. Judge 24 12 12 30 Hughes 36 30 12 18 24 12 24 30 Judge 36 36 24 24 24 24 18 12 30 24 18 30 Wilson Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

An auditor for a local court system is tasked with comparing the rulings of two judges. The auditor needs to determine if Judge Hughes issues shorter sentences than Judge Wilson. The data below are the sentence lengths, in months, issued by each judge in their last twelve cases that dealt with operating a motor vehicle without a license. Test the claim that Judge Hughes issues shorter sentences than Judge Wilson for this particular type of case at the 0.10 level of significance. Let Judge Hughes' sentences be Population 1 and let Judge Wilson's sentences be Population 2. Assume that both populations are approximately normal and that the population variances are equal. Judge Hughes 24 30 + Judge 18 18 36 30 Wilson 12 36 36 Copy Data Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho :μ₁ = 1₂ Ha: ₁ 12 24 M₂ 12 30 36 18 36 36 24 12

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

Listed below are the lead concentrations (in ug/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 µg /g. 2.96 6.45 5.99 5.51 20.53 7.45 11.97 20.46 11.52 17.54 D Identify the null and alternative hypotheses. Ho: H1: (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. V the null hypothesis. There sufficient evidence at the 0.01 significance level to V the claim that the mean lead concentration for all Ayurveda medicines…

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

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.…

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

olve this ! A FT N K Since an instant replay system for tennis was introduced at a major tournament, men challenged 1412 referee calls, with the result that 411 of the calls were overturned. Women challenged 764 referee calls, and 227 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. @ Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? 2 OA H₂: Py ZP₂ H₁: P₁ *P₂ OD. Ho: Py SP₂ H₂: Py #P₂ Identify the test statistic. z = -0.30 (Round to two decimal places as needed.) Identify the P-value. View an example Get more help. ** F2 S W P-value 0.764 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? command X # The…

An auditor for a local court system is tasked with comparing the rulings of two judges. The auditor needs to determine if Judge Hughes issues shorter sentences than Judge Wilson. The data below are the sentence lengths, in months, issued by each judge in their last twelve cases that dealt with operating a motor vehicle without a license. Test the claim that Judge Hughes issues shorter sentences than Judge Wilson for this particular type of case at the 0.05 level of significance. Let Judge Hughes' sentences be Population 1 and let Judge Wilson's sentences be Population 2. Assume that both populations are approximately normal and that the population variances are equal. Judge 24 12 12 30 36 30 12 18 24 12 24 30 Hughes Judge Wilson 36 36 24 24 24 24 18 12 30 24 18 30 Step 3 of 3: Draw a conclusion and interpret the decision. Copy Data