In the state of Kentucky, there are 228 eight year olds diagnosed with ASD out of 18,462 eight year oldsevaluated. In the state of Maine, there are 47 eight year olds diagnosed with ASD out of 2,197 eight yearolds evaluated. Is there enough evidence to show that the proportion of children diagnosed with ASD inKentucky is more than the proportion in Maine? Test at the 5% level.State the hypotheses.Ho: P₁?P2Ha: P1? P2Calculate the test statistics. Round to four decimal places.P₁ =P2=Calculate the standardized test statistic. Round three decimal places.Z =Find the p-value. Round to four decimal places.p-value =State your decision.Since the p-value is greater than .05, fail to reject Ho.O Since the p-value is less than .05, fail to reject Ho.O Since the p-value is greater than .05, reject Ho.Since the p-value is less than .05, reject Ho.Interpret the results.O At the 5% level of significance, there is enough evidence to show that the proportion of childrenliagnosed with ASD in Kentucky is less than the oport in Maine.At the 5% level of significance, there is not enough evidence to show that the proportion of childrendiagnosed with ASD in Kentucky is more than the proportion in Maine.O At the 5% level of significance, there is not enough evidence to show that the proportion of childrendiagnosed with ASD in Kentucky is not equal to the proportion in Maine.O At the 5% level of significance, there is not enough evidence to show that the proportion of childrendiagnosed with ASD in Kentucky is less than the proportion in Maine.O At the 5% level of significance, there is enough evidence to show that the proportion of childrendiagnosed with ASD in Kentucky is more than the proportion in Maine.O At the 5% level of significance, there is enough evidence to show that the proportion of childrendiagnosed with ASD in Kentucky is not equal to the proportion in Maine.

In the state of Kentucky, there are 228 eight year olds diagnosed with ASD out of 18,462 eight year…

Answered: In the state of Kentucky, there are 228…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 297 people over the age of 55, 75 dream in black and white, and among 310 people under the age of 25, 19 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Identify the test statistic. z= 6.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 3.770o (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a = 0.05, so fail to reject the null hypothesis. There is insufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. b. Test the claim by constructing an appropriate confidence…
Past studies have indicated that the percentage of smokers was estimated to be about 30%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 2414 people and found that 680 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced. a) Identify the null and alternative hypotheses? Hp: ? v H:? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level. Check Answer
The recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 396 convicted sex offenders who were also drug addicts, 51 of them became repeat offenders. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use z-test for a population proportion b. The null and alternative hypotheses would be: Но: 0.09 |(please enter a decimal) H1: P 0.09 (Please enter a decimal) c. The test statistic ? 2.697 (please show your answer to 3 decimal places.) d. The p-value =| 0.0035 v (Please show your answer to 4 decimal places.) e. The p-value is f. Based on this, we should reject the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly higher than 9% at a = 0.05, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat…
The US Department of Energy reported that 49% of homes were heated by natural gas. A random sample of 327 homes in Oregon found that 143 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 10% significance level. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: Based on the hypotheses, compute the following:b. Test Statistic = c. p-value = d. Based on the above we choose to e. The correct summary would be: that the proportion of homes in Oregon that were heated by natural gas is different than what the DOE reported value of 49%. Question HelpQuestion 14: Video1
If the level of significance in a hypothesis test is 1 %, what would the p-value have to be for failing to reject the null hypothesis? a. equal to 0.005 b. less than .01 c. greater than .01
According to a report on consumer fraud and identity theft, 20% of all complaints for a year were for identity theft. In that year, Oregon had 714 complaints of identity theft out of 3449 consumer complaints. Does this data provide enough evidence to show that Oregon had a higher proportion of identity theft than 20%? Test at the 5% level. State the hypotheses. Họ: P ?v Ha: P ? Calculate the test statistic. Round to four decimal places. Calculate the standardized test statistic. Round to three decimal places. z = Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is less than .05, reject Ho. O Since the p-value is greater than .05, fail to reject Ho. O Since the p-value is greater than .05, reject Ho- O Since the p-value is less than .05, fail to reject Ho- Interpret the results. O At the 5% level of significance, there is not enough evidence to show that the proportion of complaints due to identity theft in Oregon is less than 20%. O At…
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 314 people over the age of 55, 73 dream in black and white, and among 291 people under the age of 25, 12 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is
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According to a report on consumer fraud and identity theft, 24% of all complaints for a year were for identity theft. In that year, Connecticut had 861 complaints of identity theft out of 3484 consumer complaints. Does this data provide enough evidence to show that Connecticut had a higher proportion of identity theft than 24% ? Test at the 10% level. State the hypotheses. Ho: P? O Ha: P ? Calculate the test statistic. Round to four decimal places. p = Calculate the standardized test statistic. Round to three decimal places. z = Find the p-value. Round to four decimal places. p-value = State your decision. O Since the p-value is greater than .10, reject Ho. O Since the p-value is less than .10, fail to reject Ho- O Since the p-value is greater than .10, fail to reject Ho. O Since the p-value is less than .10, reject Ho. Interpret the results. O At the 10% level of significance, there is enough evidence to show that the proportion of complaints due to identity theft in Connecticut is…
In a survey of 1037 US adults ages 65 and over, 643 were concerned about getting the flu. A 99% confidence interval for the proportion p is?
2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…

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