If a hypothesis is not rejected at the 5% level of significance, it O a) will always be rejected at the 1% level Ob) will also not be rejected at the 1% level O c) will sometimes be rejected at the 1% level O d) None of these alternatives is correct.
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If a hypothesis is not rejected at the 5% level of significance.
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- A decade-old study found that the proportion of high school seniors who felt that getting rich" was an important personal goal was 66%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H. and the alternative hypothesis H, that we would use for this test. Ho: H OSO Submit Assignmen Privacy Accessibili Continue O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use reviousAre freshmen psychology majors more likely to change their major before they graduate compared to freshmen business majors? 355 of the 619 freshmen psychology majors from a recent study changed their major before they graduated and 356 of the 679 freshmen business majors changed their major before they graduated. What can be concluded at the = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: (please enter a decimal) (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of freshmen psychology majors who change their major…When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply. 1) The chance of committing a Type II error changes from 0.10 to 0.05.2) It becomes easier to prove that the null hypothesis is true.3) It becomes harder to prove that the null hypothesis is true.4) The test becomes less stringent to reject the null hypothesis (i.e. it becomes easier to reject the null hypothesis).5) The chance of committing a Type I error changes from 0.10 to 0.05.6) The chance that the null hypothesis is true changes from 0.10 to 0.05.7) The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis).
- A private and a public university are located in the same city. For the private university, 1042 alumni were surveyed and 655 said that they attended at least one class reunion. For the public university, 804 out of 1317 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant? (Use α=0.05) a) Reject the null hypothesis which states there is no difference in the proportion of alumni that attended at least one class reunion in favor of the alternate which states there is a difference in the proportions. b) Fail to reject the null hypothesis. There is not enough evidence to conclude that there is a difference in the proportions. c) There is not enough information to make a conclusion.7) The mean IQ of statistics teachers is greater than 120. Identify the type I and type II errors for the hypothesis test of this claim. 7)According to a New York Times/CBS News poll conducted during June 24 - 28, 2011, 55% of the American adults polled said that owning a home is a very important part of the American Dream ( The New York Times, June 30, 2011)Suppose this result was true for the population of all American adults in 2011. In a recent poll of 1820 American adults, 62 said that owning a home is a very important part of the American DreamPerform a hypothesis test to determine whether it is reasonable to conclude that the percentage of all American adults who currently hold this opinion is higher than 55%. Use a 5% significance level use both the p value and the critical value approaches. Round your answers for the observed value of zand the critical value of z to two decimal places , and the pvalue to four decimal places z observed=p-value=critical value=
- Do the needs of patients in the emergency room differ for those who come by car vs. those by ambulance? Of the randomly selected emergency room patients who came by car 51 had an injury, 40 were sick, 31 had heart problems and 61 had other needs. Of the randomly selected emergency room patients who came by ambulance 45 had an injury, 30 were sick, 55 had heart problems and 38 had other needs. Conduct the appropriate hypothesis test using an a = 0.10 level of significance. a. What is the correct statistical test to use? O Paired t-test O Homogeneity Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O Means of transportation to the emergency room and emergency room needs are independent. Means of transportation to the emergency room and emergency room needs are dependent. The distribution of emergency room needs for patients who come by car is the same as it is for patients who come by ambulance. The distribution of emergency room needs for patients who…what is the correct choiceA poll reported that 32% of 195 Canadians between the ages of 25 and 29 had started saving money for retirement. Of the 205 Canadians surveyed between the ages of 21 and 24, 26% had started saving for retirement. Carry out an appropriate hypothesis test and see whether there is any difference between the proportions of Canadians between the ages of 25 and 29 and the ages of 21 and 24 who had started saving for retirement. (a) What are the null and alternative hypotheses? Họ: p HA: P (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, what can you conclude? There is about a 18.68% chance that the two proportions are equal. O If there is no difference in the proportions, there is about a 9.34% chance of seeing the observed difference or larger (as extreme or more extreme) by natural sampling variation. O There is about a…
- 30. A researcher had originally planned to collect a sample of size 200, and conduct a hypothesis test with a 5% significance level. Now, she has decided instead to collect a sample of size 300, and conduct a hypothesis test with a 1% significance level. How will this change affect the A probabilities of type I and type 2 error? The probability of type 1 error will decrease, and the probability of type 2 error will increase. The probability of both type 1 and type 2 error will decrease. The probability of type 1 error will decrease, but it's impossible to determine whether the probability of type 2 error will increase or decrease. The probability of type 1 error will increase, and the probability of type 2 error will decrease. The probability of type 2 error will decrease, but it's impossible to determine whether the probability of type 1 error will increase or decrease.A national poll found that 73% of US adults could distinguish the definition of astrology from astronomy. Hoping that the percentage for TU students is higher, the SGA polls a random sample to test the hypotheses where p = the true proportion of TU students who can distinguish the definition of astrology from astronomy. If the decision is "do not reject the null", the correct concluson to the hypothesis test is... There is convincing evidence that the proportion of TU students who can distinguish the definition of astrology from astronomy is more than 73%. There is not enough evidence to conclude that the proportion of TU students who can distinguish the definition of astrology from astronomy is more than 73%. There is convincing evidence that the proportion of TU students who can distinguish the definition of astrology from astronomy is equal to 73%. There is not enough evidence to conclude that the proportion of TU students who can…