6) Decide whether the null hypothesis should be rejected when a = 0.05 and the P-value = 0.045.
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6) Decide whether the null hypothesis should be rejected when a = 0.05 and the P-value = 0.045.
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- Suppose a consumer group suspects that the proportion of households that have three cell phones is 30%. A cell phone company has reason to believe that the proportion is not 30%. Before they start a big advertising campaign, they conduct a hypothesis test. Their marketing people survey 150 households with the result that 43 of the households have three cell phones. State the two tailed hypothesis test, calculate the p-value for the test and test whether you can reject H0 using α= 0.05.Suppose researchers conducted a study to see if the mean body temperature for adultswas different from 98.6 degrees Fahrenheit. For this study, they took a random sampleof 25 healthy adults and found a mean body temperature of 98.2 degrees Fahrenheit forthe sample with a standard deviation of 0.6 degrees. The temperatures of the sampleparticipants were unimodal and symmetric.a. Write the null hypothesis and alternative hypothesis and define your parameter.b. Show that the necessary conditions (Randomization Condition, 10% Condition,Nearly Normal Condition) are satisfied to perform a hypothesis test. Brieflyexplain how each condition is satisfied.c. Perform the hypothesis test and find the P-value. (To show your work: Writedown which calculator you are using and what values you are entering into thecalculator.)d. Is there strong evidence that the mean body temperature is different than 98.6degrees? Briefly explain how you know.Suppose that we reject a null hypothesis at the 0.1 level of significance. Then for which of the following a- values do we also reject the null hypothesis? O A. 0.002 ОВ. 0.02 ОС. 0.01 D. 0.2 E. 0.001
- Suppose that a researcher decides that he MUST obtain a Type 1 error level of no more than 0.01 in order to reject the null hypothesis. After analyzing his data he finds that the results are significant at p = 0.05 but not at p = 0.01. If he is not able to change the maximum allowed Type 1 error level, then the researcher should Question 5 options: retain the null hypothesis because 0.05 is greater than 0.01. retain the null hypothesis because 0.05 is merely sampling error. reject the null hypothesis because 0.05 is close to 0.01. reject the null hypothesis because 0.05 is greater than 0.01.The results of a hypothesis test are reported as follows in a scientific report: t(38) = -3.13, p < .05. Based on this information, which statement below is not correct? The sample size was n = 39. The conclusion reached by the researcher was to reject the null hypothesis. The sample mean was greater than the hypothesized population mean. The probability of a Type I error is less than 5%.Normally only about 19% of people who try to quit smoking succeed, but sellers of a motivational tape claim that listening to their recorded messages can help people quit (i.e., more than 19% of the people who use the tapes will successfully quit). Let p represents the percentage of people who have listened to the recorded messages and have successfully quit. Match the appropriate null and alternative hypotheses, based on the sellers' claim. H,: p = 0.19 p> 0.19 p2 0.19 ps 0.19 p 0.19 p2 0.19 ps 0.19 p < 0.19 Op- 0.19 Do you consider a Type I or Type Il error a more serious mistake here? Why? Your answer should make it clear what Type I and Il errors are in this context.
- A well-known brokerage firm executive claimed that at least 24 % of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that out of 150 randomly selected people, 42 of them said they are confident of meeting their goals. Suppose you are have the following null and alternative hypotheses for a test you are running: Ho:p = 0.24 Ha:p + 0.24 Calculate the test statistic, rounded to 3 decimal placesIn a one-tail hypothesis test where you rejected Ho only in the upper tail, what is the value is Zstat =+2.00?11.20 Refer to Exercise 11.18. Conduct a test of the null hypothesis that b1= 0. Use a =0.05.
- 3. Below are a set of null hypothesis and alternative hypothesis with all the required data to calculate the t-score. Calculate the t-score and identify if the null hypothesis was rejected.. A. Ho = 0 H₁ #0 -420 (SE)=100 n = 6 Where x is the average amount of mosquito bites a person revives in the year. B. Ho≥ 18 H<18 X=6 (SE)=9 n=12 Where is the average weight of a three year old cat. C. Ho=0 H₁ #0-00006 (SE)=00000002 n = 4000 Where is the average reduction in height of a 30 year old due to old age.19% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 338 randomly selected students who receive financial aid, 44 of them volunteered their time. What can be concluded at the α = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: (please enter a decimal) Please enter a decimal) c. The test statistic (please show your answer to 3 decimal places.) 2 (Please show your answer to 4 decimal places.) d. The p-value e. The p-value is? a f Based on this, we should Select an answer g. Thus, the final conclusion is that the null hypothesis. The data suggest the population proportion is not significantly lower than 19% at α-0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 1996. The data suggest the population proportion is not significantly…Researchers thor used a hypothesis test to test the effectiveness of a drug he is developing. he obtained a p-value = 0.005 and concluded that the drug was effective (he used α = 0.05). Suppose the drug does not actually work. Which of the following statements is correct? thor should not reject the null hypothesis because the p-value is too large. Type I error occurred. Type II error occurred. There was no error. I do not know.