2. In a certain special education school, a sample of 144 students was chosen and among these, 48 are diagnosed with Attention Deficit Hyperactivity Disorder (ADHD).a= 0.01, test the hypothesis that the proportion of ADHD students in the school is not 0.40.
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- A dietician read in a survey that 70.5% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that the proportion that skip breakfast 3 days a week is different than 0.705. To verify her claim, she selects a random sample of 71 adults and asks them how many days a week they skip breakfast.. 44 of them report that they skip breakfast at least 3 days a week. Test her claim at a = 0.10. The correct hypotheses would be: О Но:р 0.705 (claim) Но: р > 0.705 HA:p < 0.705 (claim) О Но: р — 0.705 HA:P + 0.705 (claim) Since the level of significance is 0.10 the critical value is 1.645 and -1.645 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion that skip breakfast 3 days a week is different than 0.705. O There is not enough evidence to reject the claim that the proportion that skip…Because the confidence interval limits v 0, it appears that the two proportions are V Because the confidence interval limits include V values, it appears that the proportion of people over 55 who dream in black and white is V the proportion for those under 25. c. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? O A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. O B. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference. O C. Yes. The results can be used to verify the given explanation because difference in proportions is…An employee at the metropolitan museum of art surveyed a random sample of 150 visitors to the museum of those visitors 45 people bought food at the cafeteria based on those results how many people out of 1750 visitors to the museum would be expected to buy food from the cafeteria?
- A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 318 people over the age of 55, 77 dream in black and white, and among 298 people under the age of 25, 16 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. H4: P1 P2 H: P1 #P2 O D. Ho: P1 SP2 H1: P1#P2 O E. Ho: P1 P2 H1: P1 = P2 O F. Ho: P1 =P2 H1: P1 #P2 Identify the test statistic. z= 6.52 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is less than the significance level of a = 0.05, so reject the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion…Consider a random sample of 300 students in a university, 75 of them declared that they like playing football. Compute a point estimate of the proportion of all students who would like to play football.In random samples of 900 men and 400 women it is found that 99 men and 36 women suffer from kidney stones. Is there statistical evidence that the proportion of male kidney stone sufferers is greater than the proportion of female kidney stone sufferers? Use 5% significant level.
- Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1,200 people under 20 years old who were eligible to have a driver's license in 1995 and again in 2016.Support for the U.S. death penalty for convicted murderers was 63% in 2014 (Gallup poll results 2018). In a recent survey of 150 randomly selected U.S. adults, 75 said they were in favor of the death penalty for those convicted of murder. Does this sample appear to come from a population with a lower proportion in favor of the death penalty? d) Say that a = 0.05, what does this mean. Explain in the context of the problem. e) What would it mean to make a type II error? Explain in the context of this problem. f) Use a 0.05 significance level to test the claim. State your conclusion AND interpret your results.A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 295 people over the age of 55, 64 dream in black and white, and among 312 people under the age of 25, 13 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. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ = P₂ H₁: P₁ P2 O B. Ho: P₁ P₂ H₁: P₁ = P2 O E. Ho: P₁ SP₂ H₁: P₁ P2 OC. Ho: P₁ P2 H₁: P₁ P2 OF. Ho: P₁ H₁: P₁ P₂ P2
- Management of a theater in a large city wants to know whether its popularity increased after it ran a popular musical. According to a previous study, 25% of city residents said they had been to the theater in the past year. A more recent study, conducted after the musical had run for a year, found that 156 of 536 residents sampled said they had been to the theater in the past year. Is there evidence at the ? = 0.05 level that the number of residents who have been to the theater has increased in the last year?A study was conducted about the safety and privacy of teens online presence. A random sample of 593 teenagers were asked if they felt that they were easy to find online from their Facebook profiles. Sixty-two girls of 325 teen girls with profiles say that they are easy to find, while 75 boys of 268 teen boys with profiles say the same. Is there evidence of a real difference between boys and girls?It has been found that 25.1% of men (Group 1) 20 years and older suffer from hypertension (high blood pressure) and 33.9% of women (Group 2) are hypertensive. A random sample of 164 of each gender was selected from recent hospital records, and the following results were obtained. Can you conclude that a higher percentage of women have high blood pressure? Use =0.05. Men: 42 patients had high blood pressure Women: 52 patients had high blood pressure Required: Test Value Only the final answer should be rounded-off to TWO decimal places.