A builder claims that bidets are installed in more than 50% of all homes being constructed today in suburban Lapu-lapu. Would you agree with this claim if a random survey of new homes in this city showed that 54 out of 150 had bidets installed? Use a 0.05 level of significance. a. This problem is a test on what population parameter b. What are the Significance level and Type of test
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A builder claims that bidets are installed in more than 50% of all homes being constructed today in suburban Lapu-lapu. Would you agree with this claim if a random survey of new homes in this city showed that 54 out of 150 had bidets installed? Use a 0.05 level of significance.
a. This problem is a test on what population parameter
b. What are the Significance level and Type of test
c. What is the Critical Value
d. What is the standardized test statistics
e. What is the Statistical Decision in statement form
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- What is meant by the sample space of an experiment?In a rural area, only 30% of the wells that are drilled find adequate water within a depth of 100 feet or less. A local man Jed Clampett asserts he can do better by “dowsing” - using a forked stick to indicate where the well should be drilled. A sample of 80 of his customers reported 27 that found water before a depth of 100 feet. Does the data support his claim? Use a 10% significance level.A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 80 men, 30% owned cats. In the second sample of 60 women, 55% owned cats. Test the veterinarian's belief at the α=0.05α=0.05 significance level. Preliminary: Is it safe to assume that nmen≤5%nmen≤5% of all men and nwomen≤5%nwomen≤5% of all women? Yes No Verify nˆp(1−ˆp)≥10.np^(1-p^)≥10. Round your answer to one decimal place.nmenˆp(1−ˆp)=nmenp^(1-p^)= nwomenˆp(1−ˆp)=nwomenp^(1-p^)= Test the claim: Determine the null and alternative hypotheses. H0H0: pmenpmen pwomenpwomen HaHa: pmenpmen pwomenpwomen The hypothesis test is left-tailed two-tailed right-tailed Determine the test statistic. Round to two decimal places.x=x= Find the pp-value.…
- For a lower tail hypothesis test with a sample size of 13 and a .10 level of significance, the critical value of the test statistic t isA computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. 1.Compute the p-value. 2. Does the evidence support the computer manufacturer's claim at the 10% significance level?A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. d. Does the evidence support the computer manufacturer's claim at the 10% significance level?
- A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed 24 individuals and asked them their daily one-way commuting mileage. The results are in Table below. Using a 5% significance level, test the hypothesis that the three mean commuting mileages are the same. working-class professional (middle incomes) professional (wealthy) 17.8 16.5 8.5 26.7 17.4 6.3 49.4 22.0 4.6 9.4 7.4 12.6 65.4 9.4 11.0 47.1 2.1 28.6 19.5 6.4 15.4 51.2 13.9 9.3An author argues that more American-born baseball players have birth dates in the months immediately following July 31 because that was the age cutoff date for nonschool baseball leagues. The table below lists months of births for a sample of American-born baseball players and foreign-born baseball players. Using a 0.01 significance level, is there sufficient evidence to warrant rejection of the claim that months of births of baseball players are independent of whether they are born in America? Do the data appear to support the author's claim? Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec. Born in America 387 328 367 343 334 312 315 502 424 434 400 371 Foreign Born 102 82 84 81 95 83 59 90 69 99 104 83 If the null and alternative hypotheses for this test are: H2: Months of births of baseball players are independent of where they are born. H1: Months of births…An author argues that more American-born baseball players have birth dates in the months immediately following July 31 because that was the age cutoff date for nonschool baseball leagues. The table below lists months of births for a sample of American-born baseball players and foreign-born baseball players. Using a 0.01 significance level, is there sufficient evidence to warrant rejection of the claim that months of births of baseball players are independent of whether they are born in America? Do the data appear to support the author's claim? a. Identify the test statistic. (Round to three decimal places as needed.) b. Identify the P-value. (Round to three decimal places as needed.)
- Independent random samples of 32 people living on the west side of a city and 30 people living on the east side of a city were taken to determine if the income levels of west side residents are significantly different from the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are significantly different from the income levels of east side residents, at the 2% significance level. H0:μw=μeHa:μw≠μe t0=2.364 t0.01=±2.099 Select the correct answer below: No; the test statistic is not between the critical values. No; the test statistic is between the critical values. Yes; the test statistic is not between the critical values. Yes; the test statistic is between the critical values.The Youth Risk Behavior Survey (a study of public high school students) showed that 45 of 675 girls and 103 of 621 boys had been in a physical fight on school property one or more times during the past 12 months Using 5% significance, perform an appropriate test of hypothesis that the proportion of girlsinvolved in a physical fight on school property is less than the proportion of boys involved in a physical fight on school property.Step 1: H0: ________________ Ha: ____________________ Significance level α =0.05Step 2: Check necessary data conditions and compute an appropriate test statistic:Step 3: Compute corresponding p-valueIn order to investigate a claim that the average time required for the county fire department to respond to a reported fire is greater than 15 minutes, county staff determined the response times for 40 randomly selected fire reports. The data was used to test H0H0: μ = 15 versus HaHa: μ > 15 and the computed P‐value was 0.12. If a 0.05 level of significance is used, what conclusions can be drawn? There is convincing evidence that the mean response time is 15 minutes (or less). There is convincing evidence that the mean response time is greater than 15 minutes. There is not convincing evidence that the mean response time is greater than 15 minutes.