Consider a binomial experiment with n = 8 trials where the probability of success on a single trial is p = 0.20. (Round your answers to three decimal places.) n USE SALT (a) Find P(r = 0). (b) Find P(r 2 1) by using the complement rule.
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- In 1973, only 8% of the students in the city school district were classified as being learning disabled. A school psychologist suspects that the proportion of learning-disabled children has increased dramatically over the years. To demonstrate this point, a random sample of n = 13 students is selected. In this sample there are 3 students who have been identified as learning-disabled. You will use this information to determine if the sample indicates a change in the proportion of learning-disabled students at a 0.02 level of significance. Part 1: What is the hypothesized (assumed constant) population proportion for this test? p = (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Based on the researcher's understanding of the situation, how many tails would this hypothesis test have? O one-tailed test two-tailed testFor the situation described below, state the null hypothesis, Ho, and the alternative hypothesis, Ha, to be tested. (Enter != for + as needed.) A researcher claims that a binomial proportion p is at most 0.4. A statistical test is designed to disprove the researcher's claim. Ho: H3: Need Help? Read It Watch ItA teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0.30. The students feel the proportion of blue beads is lower than 0.30. A student randomly selects 60 beads and finds that 12 of the beads are blue. The P-value for the test of the hypotheses, H,: p = 0.30 and H,i p < 0.30, is 0.045. What is the correct conclusion given a = 0.05? Because the P-value is less than a = 0.05, the student should reject Ho- Because the P-value is less than a = 0.05, the student should fail to reject Ho. Because the P-value is greater than a = 0.05, the student should reject Ho. O Because the P.value is greater than a = 0.05, the student should fail to reject Ho.
- Suppose you want to test how fair is the coin. You conduct the following experiment. You flip the 2 coins multiple times and observe HH - 31 times, HT - 15 times, TH - 15 times, and TT - 22 times. What is the Test Statistics to test the Null Hypothesis that the coin is fair against the alternative hypothesis that the coin is unfair?Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 86 politically conservative voters, r1 = 18 responded yes. Another random sample of n2 = 85 politically moderate voters showed that r2 = 21 responded yes. Does this information indicate that the population proportion of conservative voters inclined to spend more federal tax money on funding the arts is less than the proportion of moderate voters so inclined? Use α = 0.05. (a) State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2 H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2 H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large. The standard normal. We assume the population distributions are approximately normal. The Student's t. We assume the population distributions are approximately normal.…An experiment was conducted to test whether classical music helps with mathematical performance. To study this, participants (n=9) were given an algebra test. Half of the sample completed the test in a room with classical music playing while the other half completed it in a room with no sounds at all. After a brief rest, the two groups switched rooms and completed a slightly modified version of the algebra test. Thus, all participants experienced both conditions. The scores for the two conditions were then compared, showing that listening to classical music did help mathematical performance by an average of MD =2 points with SS =32. a. Calculate the estimated standard error. b. Compute the t statistic and state the conclusion of these findings.
- An experiment was conducted to test whether classical music helps with mathematical performance. To study this, participants (n=9) were given an algebra test. Half of the sample completed the test in a room with classical music playing while the other half completed it in a room with no sounds at all. After a brief rest, the two groups switched rooms and completed a slightly modified version of the algebra test. Thus, all participants experienced both conditions. The scores for the two conditions were then compared, showing that listening to classical music did help mathematical performance by an average of MD =2 points with SS =32. a. Calculate the estimated standard error. b. Compute the t statistic and state the conclusion of these findings.Research has shown that losing even one night’s sleep can have a significant effect on performance ofcomplex tasks such as problem solving (Linde &Bergstroem, 1992). To demonstrate this phenomenon,a sample of n=25 college students was given aproblem-solving task at noon on one day and again atnoon on the following day. The students were notpermitted any sleep between the two tests. For eachstudent, the difference between the first and secondscore was recorded. For this sample, the studentsaveraged MD=4.7 points better on the first test with avariance of s2=64 for the difference scores. a.Do the data indicate a significant change in problem-solving ability? Use a two-tailed test with a= .05. b.Compute an estimated Cohen’s dto measure thesize of the effectA decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 68%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H, and the alternative hypothesis H that we would use for this test. H: 0 OA December 2017 Gallup Poll reported that 43% of Americans use the internet for an hour or more each day. You suspect that a greater proportion of students at your school use the internet that much. You take a random sample of 60 students and find that 36 of them use the internet for an hour or more each day. Assume your school has more than 600 students. You will test the hypotheses H, : p = 0.43, H,:p>0.43 , where p= the true proportion of students at your school who use the internet for an hour or more each day. Which of the following gives the correct test statistic for this test? 0.43 - 0.6 Z = (0.6)(0.4) 60 0.43-0.6 (0.6)(0.4) 600 0.6-0.43 (0.6)(0.4) 60 0.6 - 0.43 (0.43)(0.57) 60 36 - 60 (36)(24) 60In a lightbulb factory, an administrator selects a random sample of bulbs produced on assembly line A and a random sample of bulbs produced on assembly line B. The administrator calculates the proportion of malfunctioning bulbs produced by each assembly line and finds that the difference between them (A - B) is 0.008. A researcher conducted a hypothesis test with the following hypotheses: H0: The proportion of malfunctioning bulbs from assembly line A is the sample as the proportion of malfunctioning bulbs from assembly line B. HA: The proportion of malfunctioning bulbs from assembly line A is greater than the proportion of malfunctioning bulbs from assembly line B. She found a P-value of 0.016. What is the best interpretation of this P-value? a If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference of at least 0.008 is 0.016. b If there is a difference of 0.016 in the proportions…An experiment was conducted to test whether classical music helps with mathematical performance. To study this, participants (n=9) were given an algebra test. Half of the sample completed the test in a room with classical music playing while the other half completed it in a room with no sounds at all. After a brief rest, the two groups switched rooms and completed a slightly modified version of the algebra test. Thus, all participants experienced both conditions. The scores for the two conditions were then compared, showing that listening to classical music did help mathematical performance by an average of MD =2 points with SS =32. a. Using symbols, state the hypotheses for a two-tailed test with α=0.01. b. Identify the degrees of freedom and the critical regions. c. Calculate the sample variance.SEE MORE QUESTIONS