Based on information from a previous study, r1 = 37 people out of a random sample of n1 = 97 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 97 adult Americans who did attend college, r2 = 46 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use α = 0.01. (a) What is the level of significance?   What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

The National Academy of Science reported that 41% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 41%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 186 recent articles published by reputable mathematics research journals and finds that 92 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 41%? Use a 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. circle the answer below. H0 p=0.41 ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.41 A.<B.≠C.> Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision. A. We reject the null hypothesis and conclude that there is insufficient evidence at a…

The National Academy of Science reported that 33 % of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 33 %. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 280 recent articles published by reputable mathematics research journals and finds that 108 of these articles have US authors. Does this evidence support the mathematics chairperson's claim that the percentage is no longer 33 % ? Use a 0.01 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Answer Ho :p = 0.33 Ha P O # ο ο ο HAV O < 0.33 Tables Keypad Keyboard Shortcuts

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,476 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,767 kWh of electricity last year. Assuming that the population standard deviation is 2478 kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? Step 3 of 3: Draw a conclusion and interpret the decision.

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,069 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 171 of their customers and calculates that these customers used an average of 10,461 kWh of electricity last year. Assuming that the population standard deviation is 2973 kWh, is there sufficient evidence to support the power company's claim at the 0.01 level of significance? Step 3 of 3: Draw a conclusion and interpret the decision.

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425 kWh of electricity last year. Assuming that the population standard deviation is 3217 kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance? Step 3 of 3: Draw a conclusion and interpret the decision.

In a study designed to test the "truth" to the theory that, on average, U.S. adults gain weight between Thanksgiving and January a research team looked at responses from 8 randomly selected U.S. adults. The subjects were weighed (lb) on the day before Thanksgiving and again on January 3rd The raw data are found in Table 1. Let ? = 0.025 Table 1: Weights (lb) before Thanksgiving and on Jan. 3rd for 8 U.S. adults Pre-Thanksgiving 168.2 173.5 164.3 166.4 167.6 164.9 172.1 169.8 Jan. 3rd 173.3 159.9 175.4 172.1 174.8 169.7 177.3 164.5 Diff 5.1 -13.6 11.1 5.7 7.2 4.8 5.2 -5.3

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,069 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 171 of their customers and calculates that these customers used an average of 10,461 kWh of electricity last year. Assuming that the population standard deviation is 2973 kWh, is there sufficient evidence to support the power company's claim at the 0.01 level of significance? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.

Is there an association between grade level and whether the student makes their bed in the morning? To investigate, the principal at a large high school selects a random sample of 84 students and classifies them as being in ninth, tenth, eleventh, or twelfth grade, and whether they make their bed. He would like to determine if there is convincing evidence of an association. Let a = 0.05. What are the hypotheses for this test? O Ho: There is no association between grade level and whether the student makes their bed in the morning. Hạ: There is an association between grade level and whether the student makes their bed in the morning. O Ho: There is an association between grade level and whether the student makes their bed in the morning. Hạ: There is no association between grade level and whether the student makes their bed in the morning. O Ho: There is a difference in the distribution of grade level and whether the student makes their bed in the morning. Hạ: There is no difference in…

An educator believes that the proportion of finance majors seeking to earn an MBA degree equals the proportion of management majors seeking to earn an MBA degree in the population. A random sample of 100 finance majors is taken and 24 indicate that they will seek to earn an MBA degree. Likewise, a random sample of 400 management majors is taken and 65 indicate that they will seek to earn an MBA degree. Using this information, test the educator’s claim at the 0.05 level