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- Is the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 350 of the 519 randomly selected wildfires looked at in the south were caused by humans while 383 of the 500 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.01 level of significance? Please select ans asnwer from the following. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.01, so there is insufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is different from the population proportion of wildfires caused by humans in the west. The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 519 wildfires that were caused by humans in the south is different from the proportion of the 500 wildfires that were caused by humans in the…A state policeman has a pet theory that people who drive red cars are more likely to drive too fast. Onhis day off, he borrows one of the department’s radar guns, parks his car in a rest area, and measures theproportion of red cars that are driving too fast. (He decides ahead of time to define “driving too fast” asexceeding the speed limit by more than 5 miles per hour.) To produce a random sample, he rolls a dieand only includes a car in his sample if he rolls a 5 or a 6. He finds that 18 of 28 red cars are driving toofast, and 75 of 205 other cars are driving too fast. please run a 4 step process(significance test) and interperet the P-value for ap statsThe National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. Is this a test of one mean or proportion? State the null and alternative hypotheses.H0: ____________________ Ha: ____________________ Is this a right-tailed, left-tailed, or two-tailed test? What symbol represents the random variable for this test? In words, define the random variable for this test. Calculate the following: x = ________________ n = ________________ p′p′ = _____________ Calculate σx = __________. Show the formula set-up. State the distribution to use for the…
- . The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. Is this a test of one mean or proportion? State the null and alternative hypotheses.H0: ____________________ Ha: ____________________ Is this a right-tailed, left-tailed, or two-tailed test? What symbol represents the random variable for this test? In words, define the random variable for this test. Calculate the following: x = ________________ n = ________________ p′p′ = _____________ Calculate σx = __________. Show the formula set-up. State the distribution to use for…Are there less children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that are mostly rural? Assume data were collected from a fairly urban state and they found 167 eight-year olds diagnosed with ASD out of 18922 eight-year olds evaluated. Assume data were then collected for a fairly rural state and they found 68 eight-year olds diagnosed with ASD out of 2989 eight-year olds evaluated. Is there enough evidence to show that the proportion of children diagnosed with ASD in the fairly urban state is lower than the proportion in the fairly rural state? Test at the 3% level and Compute a 94% confidence interval for the difference in proportions. (round to 3 decimal points)Based on information from a large insurance company, 66% of all damage liability claims are made by single people under the age of 25. A random sample of 51 claims showed that 43 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company? Give the test statistic and your conclusion.
- A major credit card company is investigating whether the distribution of the number of credit cards used by its customers has changed from last year to this year. Customers are classified as using 1 card, 2 cards, or more than 2 cards. The company conducts a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of number of cards used from last year to this year. The value of the chi-square test statistic was χ2=7.82χ2=7.82 with a corresponding pp-value of 0.02. Assuming the conditions for inference were met, which of the following is the correct interpretation of this pp-value?A sample of marriage licenses in St Lawrence County in Upstate New York gives theages of husbands and wives at the time of marriage for 105 newly married couples.The question of interest is whether or not husbands tend to be older than their wives.Use Statkey and statistical inference to address this issue based on the questionsbelow. In all cases be sure to interpret your findings in the context of this problem,stating to what population (if any) your findings apply.1) When getting married, is the average age for husbands greater than the averageage for wives? (Statkey: Use Descriptive Statistics for Two Quantitative Variables)2) Is the proportion of couples for which the husband is older greater than 50%?3) For any significant results, construct and interpret an interval for the size of theeffect. (Statkey: Use Confidence Interval for a Proportion)4) Do you expect the correlation between the ages at marriage of husbands andwives to be positive, negative, or near zero? Explain.5)…Suppose taxpayers calling the IRS in 2017 waited 13 minutes on average for an IRS telephone assister to answer. Do callers who use the IRS help line early in the day have a shorter wait? Suppose a sample of 65 callers who placed their calls to the IRS in the first 30 minutes that the line is open during the day have a mean waiting time of 11 minutes before an IRS telephone assister answers. Based on data from past years, you decide that it is reasonable to assume that the standard deviation of waiting times is 8 minutes. Using these sample results, can you conclude that the waiting time for calls placed during the first 30 minutes the IRS help line is open each day is significantly less that the overall mean waiting time of 13 minutes? Use ? = 0.05. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: Find the value of the test statistic. (Round your answer to two decimal places.) ( ) Find the p-value. (Round your answer to four decimal…
- In October, 1994, a flaw in a certain Pentium chipinstalled in computers was discovered that could result ina wrong answer when performing a division. The manufacturerinitially claimed that the chance of any particulardivision being incorrect was only 1 in 9 billion, so that itwould take thousands of years before a typical userencountered a mistake. However, statisticians are nottypical users; some modern statistical techniques are socomputationally intensive that a billion divisions over ashort time period is not outside the realm of possibility.Assuming that the 1 in 9 billion figure is correct and thatresults of different divisions are independent of oneanother, what is the probability that at least one erroroccurs in one billion divisions with this chip?An organization published an article stating that in any one-year period, approximately 11.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. Is this a test of one mean or proportion? State the null and alternative hypotheses Is this a right-tailed, left-tailed, or two-tailed test? What symbol represents the random variable for this test? In words, define the random variable for this test. Calculate the following : X= , N= , P= . Calculate σx. (Round your answer to three decimal places.)/ Show the formula set-up. State the distribution to use for the hypothesis test. Find the p-value. (Round your answer to four decimal places.)…Suppose an insurance company wishes to determine if the amount of time a patient spends in the hospital is affected by whether or not the patient has medical insurance. The insurance company suspects that since insurance pays most of the hospital bills, a doctor might keep a person who has insurance in the hospital longer than if that person had to pay all of the expenses because he/she did not have insurance. In order to test these suspicions, the company randomly samples the average stay (in days) of both insured and uninsured patients in a number of hospitals and comes up with the following data. Assume the patient data are normally distributed and the population standard deviations are equal. (sorry this is the best example I can give for the problem) the numbers are actually supposed to be on the lower right side (like a square root I guess) Insurance: xbar 1=17.3, s1 =1.2, n1=29 No Insurance: xbar 2=15.1, s2=2.1, n2=15 Does the data provide sufficient evidence to support the…