Suppose a hypothesis test will be used to investigate whether the proportion of United States adults who have been a victim of a cybercrime, such as identity theft, is greater than 0.25. Suppose that the hypothesis test is conducted using a significance level of 0.05 and the power of the test is determined for a specific alternative value using the significance level of 0.05. If the significance level of the hypothesis test is changed to 0.01 and the power of the test is computed for the same alternative value using a significance level of 0.01, which of the following best describes the change(s) to the probability of a Type I error and the power of the test? (A) The probability of a Type I error would decrease, and the power of the test would stay the same. (B) The probability of a Type I error would decrease, and the power of the test would increase. (C) The probability of a Type I error would decrease, and the power of the test would decrease. (D) The probability of a Type I error would increase, and the power of the test would increase. (E) The probability of a Type I error would increase, and the power of the test would decrease.

A graduate student believes that people consider faces with more contrast between lip color and skin tone as more feminine. She identifies the null hypothesis as: Ho: The level of contrast between lip color and skin tone does not affect how feminine a face is considered. She chooses a significance level of 0.05. After she collects the data and computes the sample statistics, it is time for her to make a decision about the null hypothesis. What are the two possible decisions that the graduate student can make? Check all that apply. There is not enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not affect how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. ☐ There is not enough…

Use a 0.05 significance level to test the claim that males and females have the same mean BMI Male BMI n=80 * = 26.3 s = 5.4 Female BMI n=61 I = 28.4 s = 7.4

A researcher looking for evidence of extrasensory perception (ESP) tests 1000 subjects. Forty-three of these subjects do significantly better (P < 0.05) than random guessing. Forty-three seems like a lot of people, but you cannot conclude that these 43 people have ESP. Why not? The statistical significance level is not be stringent enough to conclude an ESP status. Since the tests were performed at the 5% significance level, as many as 50 subjects may have done significantly better than random guessing just by chance. The sample size was not large enough for any statistical inference. The P-value needs to be below 0.025 to be considered statistically significant given the two-tailed nature of this type of test.

A psychologist wanted to study the effect of television violence on cortisol levels in the blood (high scores indicate high levels). The psychologist measured cortisol levels in seven participants before and after the participants watched a violent show. Participants' cortisol level scores are listed below. The researcher is interested if there is a change in the cortisol levels after watching the violent show. Carry out a t test for dependent means (using the .01 significance level). What should the researcher conclude? a.) Use the five steps of hypothesis testing. Label all the steps clearly. Show ALL work/calculations. b.) Report the statistic in APA format (the statistical sentence). Cortisol Levels in Blood Before and After Watching Violent Show Participant Before After A 3 3 B 15 3 9 6 D 6 8 E 8 F 4 1 Type here to search E I O KO 112 prt sc & * 6 E R T S G K V. alt alt 目 B.

I believe that the population mean number of times that adults go for a walk each week is less than 2.0. I spoke with 8 adults and found that they went on walks 3,5,2,1,0,4,0 and 5 times last week. Test this hypothesis at the 0.5 significance level.

In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 130 out of 373 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the a = 0.05 level of significance. What is the hypothesized population proportion for this test? P =0.34 (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol) Based on the statement of this problem, how many tails would this hypothesis test have? one-tailed test two-tailed test Choose the correct pair of hypotheses for this situation: (C) (В) (A) Ho: p 0.29 Ho:p 0.29 Ho:p 0.29 H p 0.349 Ha p (F) (E) 0.349 (A) (B) (C) (D) (E) (F) N a e W

The drug Ritalin is designed to stimulate the central nervous system. In a random sample of 252 boys aged ten – twelve years old, it was found that 44 of the boys were taking Ritalin. It is known that the proportion of all boys aged 13 – 15 who take Ritalin is 24%. A researcher claims that the population proportions of boys who take Ritalin aged 10 – 12 is different than boys aged 13 – 15. Can you support this claim at the 5% significance level? a. Conduct a hypothesis test to test the claim at the 5% significance level. Be sure to state you Ho and Ha, your test statistic and p-value, whether or not you reject Ho and whether you support the claim. b. Show that you can use the large sample methodology. c. Write a complete sentence describing what a Type I error is in context.

I chose option 1. I believe that the population mean number of times that adults eat fruit with their breakfast is greater than 3 times. I spoke with 14 adults and found that they had fruit with breakfast 7,2,3,0,0,0,4,7,7,7,4,4,5,and 0 times in the past week. Test this hypothesis at the .05 significance level and assume a random sample.

According to the Centers for Disease Control and Prevention (CDC), the mean BMI of U.S. men of age 40–49 years old is 28.4 Using the provided sample data file, conduct a one-sample ?-z-test of a mean to test whether the mean BMI of men of age 40–49 years old who smoke daily is lower than 28.4. Conduct the ?-z-test at a significance level of ?=0.05 to test the null hypothesis,  ?0:?=28.4, against the alternative hypothesis, ?1:?<28.4, where ?μ represents the mean BMI of U.S. men of age 40–49 who smoke daily. Assume that the population standard deviation of BMI, ?σ, is 8.346 The sample data provided contain BMI results collected from a 2015 survey conducted by the National Center for Health Statistics for men of age 40–49 who smoke daily. Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place. Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place. Compute the standard deviation, SD, of…