B C and D only 9:46 7..llLTEYou are conducting a study to see if the proportion ofvoters who prefer the Democratic candidate issignificantly different from 80% at a level ofsignificance of a = 0.05. According to your sample, 68out of 88 potential voters prefer the Democraticcandidate.a. For this study, we should usez-test for a population proportionb. The null and alternative hypotheses would be:Ho: (p(please enter a decimal)H₁: (p(Please enter a decimal)c. The test statistic (z)(pleaseshow your answer to 3 decimal places.)d. The p-value =answer to 4 decimal places.)e. The p-value isαf. Based on this, we should (fail to rejectthe null hypothesis.g. Thus, the final conclusion is that ...(Please show yourThe data suggest the populationproportion is not significantly differentfrom 80% at a = 0.05, so there is notsufficient evidence to conclude that theproportion of voters who prefer theDemocratic candidate is different from80%.The data suggest the populationproportion is not significantly differentfrom 80% at a = 0.05, so there is sufficientevidence to conclude that the proportionof voters who prefer the Democratic-1000myopenmath.com

The hypothesized proportion is 0.80.

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 80% at a level of significance of a = 0.05. According to your sample, 68 out of 88 potential voters prefer the Democratic candidate. a. For this study, we should use z-test for a population proportion b. The null and alternative hypotheses would be: Ho: (p) (please enter a decimal) H₁: (p (Please enter a decimal) c. The test statistic (z)✓ (please show your answer to 3 decimal places.) d. The p-value = (Please show your

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 80% at a level of significance of a = 0.05. According to your sample, 68 out of 88 potential voters prefer the Democratic candidate. a. For this study, we should use z-test for a population proportion b. The null and alternative hypotheses would be: Ho: (p) (please enter a decimal) H₁: (p (Please enter a decimal) c. The test statistic (z)✓ (please show your answer to 3 decimal places.) d. The p-value = (Please show your

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. A recent sample of 1,000 adults showed 410 indicating that their financial security was more than fair. Suppose that just a year before, a sample of 1,200 adults showed 420 indicating that their financial security was more than fair. (a) State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. (Let p1 = population proportion most recently saying financial security more than fair and p2 = population proportion from the year before saying financial security more than fair. Enter != for ≠ as needed.) H0: p1−p2=0 Ha: p1−p2!=0 (b) Conduct the hypothesis test and compute the p-value. At a 0.05 level of significance, what is your conclusion? Find the value of the test statistic. (Use p1 − p2. Round your answer to two decimal places.) Find the p-value.…
A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. A recent sample of 1,000 adults showed 410 indicating that their financial security was more than fair. Suppose that just a year before, a sample of 1,200 adults showed 420 indicating that their financial security was more than fair. (a)State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. (Let p1 = population proportion most recently saying financial security more than fair and p2 = population proportion from the year before saying financial security more than fair. Enter != for ≠ as needed.) H0: Ha: (b) Conduct the hypothesis test and compute the p-value. At a 0.05 level of significance, what is your conclusion? Find the value of the test statistic. (Use p1 − p2. Round your answer to two decimal places.) = Find the p-value. (Round your answer to…
Two researchers are testing the null hypothesis that a population proportion p is equal to 0.30, and the alternative hypothesis that π = 0.30. Both take samples of 100 observations. Researcher A finds a sample proportion of 0.29, and Researcher B finds a sample proportion of 0.34. For which researcher will the p-value of the test be smaller? Explain without actually doing any computations.
2. Consider a study where students are measured on whether they had an internship during their time at WKU (Y/N) and whether they had a job at graduation (Y/N). If we wanted to test whether having an internship was associated with having a job at graduation (i.e., internship holders were more likely to have jobs), why would the chi-square test be inappropriate for this hypothesis? How should we analyze our data?
Two extrusion machines that manufacture steel rods are being compared. In a sample of 1000 rods taken from machine 1, 960 met specifications regarding length and diameter. In a sample of 600 rods taken from machine 2, 582 met the specifications. Machine 2 is more expensive to run, so it is decided that machine 1 will be used unless it can be convincingly shown that machine 2 produces a larger proportion of rods meeting specifications. a) State the appropriate null and alternate hypotheses for making the decision as to which machine to use. b) Compute the P-value. c) Which machine should be used?
A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is 8.2 years. The σ of the population is 2.3 years. At ? = 0.05, can it be concluded that the average age of the taxis in his company is less than the national average?
A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. A recent sample of 1,000 adults showed 410 indicating that their financial security was more than fair. Suppose that just a year before, a sample of 700 adults showed 245 indicating that their financial security was more than fair. (a) State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. (Let p1 = population proportion most recently saying financial security more than fair and p2 = population proportion from the year before saying financial security more than fair. Enter != for ≠ as needed.) H0: Ha: (b) Conduct the hypothesis test and compute the p-value. At a 0.05 level of significance, what is your conclusion? Find the value of the test statistic. (Use p1 − p2. Round your answer to two decimal places.) Find the p-value. (Round your answer to…
A random sample of 50 COS students contained 13 that owned an iPhone. A random sample of 200 Fresno State students contained 70 that owned an iPhone. Use these data to test the claim that the proportion of COS students who own an iPhone is the same as the proportion of Fresno State students who own an iPhone at the 0.05 level of significance.
31% of all pygmy softshell tortoises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha = 0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?
A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is less than or equal to 0.25. Let alpha = 0.05
Suppose the average reading speed of 15 randomly selected elementary school students is 25, and the average reading speed of 15 randomly selected middle school students is 31. You compute an independent-samples t-test, and your t-obtained is 5.72, which is statistically significant. What is the most appropriate conclusion? Think of what would be the experimental hypotheses, and in a sentence or two describe your interpretation of the results, using the actual independent and dependent variables, as you would explain it to a reporter.
Suppose we take a sample of 2,500 blood donors from a population for which 50% (0.5) have type O+ blood. (a) Into what range of possible values should the sample proportion fall 95% of the time, according to the Empirical Rule? to (b) If the sample included only 625 donors instead of 2,500, would the range of possible sample proportions be wider, more narrow, or the same as with a sample of 2,500 donors? Explain your answer, and explain why it makes intuitive sense. The range would be with 625 donors compared to a sample of 2,500 donors since the standard deviation of the sampling distribution would be . This makes intuitive sense because if fewer donors are included in the sample, the proportion will be reliable as an estimate of the proportion.