Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 29, 32, 45, 40, 26, 28. Use a 0.01 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? Click here to view the chi-square distribution table. The test statistic is (Round to three decimal places as needed.) The critical value is. (Round to three decimal places as needed.) State the conclusion. Ho. There equally likely, so the loaded die sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes to behave differently from a fair die. to be

In studying the responses to questions on a multiple-choice test, the following sample data are obtained. At the a 0.05 significance level, test the claim that the responses occur with the same frequency. Ho: The responses to the questions occur with the same frequency. H₁: The responses to the questions do not occur with the same frequency. Observed Response Frequency Expected Frequency (0-E)2 E A 6 16.2 8 B 10 16.2 C 24 16.2 D 18 16.2 8 E 23 16.2 a. What is the X2 test-statistic for this data? Round to four decimal places. x²= b. What is the p-value? Round to four decimal places. p-value= c. What would be the conclusion of this hypothesis test? O Fail to reject the hull hypothesis. Reject the null hypothesis. d. What is the final conclusion? O There is sufficient evidence to conclude the test question responses occur with the same frequency. There is sufficient evidence to conclude the test question responses do not occur with the same frequency. O There is not sufficient evidence to…

Travelers who have no intention of showing up often fail to cancel their hotel reservations in a timely manner.  These        travelers are known, in the parlance of the hospitality trade, as “no-shows”.  To protect against no-shows and late        cancellations, hotels invariably overbook rooms.  A recent study examined the problems of over-booking rooms in the hotel        industry.  The following data, extracted from the study represent the daily numbers of late cancellations and no-shows for a        random sample of 10 days at a hotel:     18, 16, 16, 16, 14, 18, 16, 18, 14, 19.   a)    Compute s, the sample s.d. for the data set

A university wanted to see whether there was a significant difference in age between its day staff and evening staff. A random sample of 35 staff members is selected from each group. The data are given below.  Test the hypothesis that there is no difference in age between the two groups. Use a =0.05.  Day Staff 22 24 24 23 19 19 23 22 18 21 21 18 18 25 29 24 23 22 22 21 20 20 20 27 17 19 18 21 20 23 26 30 25 21 25 Evening Staff 18 23 25 23 21 21 23 24 27 31 24 20 20 23 19 25 24 27 23 20 20 21 25 24 23 28 20 19 23 24 20 27 21 29 30

A  simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 118 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. .....                                                                                                                                          What type of variable is "drive an American-made automobile, or not"?                                                                      A. Qualitative with two possible outcomes                                                                                                                   B. Discrete                                                                                                                                                                     C. Continuous…

According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. This year, a certain state kept track of the number of its 1325 complaints were for identity theft. They want to know if the data provide enough evidence to show that this state had a different proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses. Fill in the correct null and alternative hypotheses. H0:H0:                    HA:HA:                     A Type I error in the context of this problem would be                A Type II error in the context of this problem would be

You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 296 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 73 Lane 2 59 Lane 3 79 Lane 4 85 b. What is the correct statistical test to use? Select an answer < c. What are the null and alternative hypotheses? Ho: The traffic and lanes are independent. The distribution of traffic is not uniform. The distribution of traffic is uniform. The traffic and lanes are dependent. H1: The traffic and lanes are independent. O The distribution of traffic is uniform. The distribution of traffic is not uniform. The traffic and lanes are dependent.

You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 372 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected frequencies: of Cars in Each Lane Frequency Outcome Frequency Expected Frequency Lane 1 89 Lane 2 98 Lane 3 92 Lane 4 93 b. What is the correct statistical test to use? Select an answer Y C. What are the null and alternative hypotheses? Ho: OThe distribution of traffic is not uniform. O The traffic and lanes are independent. O The distribution of traffic is uniform. KO The traffic and lanes are dependent. Hi : OThe distribution of traffic is uniform. OThe traffic and lanes are independent. O The traffic and lanes are dependent. O The distribution of traffic is not uniform.

Considering a treadmill test given to patients being tested for high blood pressure, male patients took their pulse rates before and after running for 5 min. Subject 1 2 3 4 5 6 7 8 9 10 Pulse before 64 100 85 60 92 85 68 85 85 68 Pulse after 68 115 84 68 105 92 72 88 80 92   Using a 0.05 significance level, perform the 8-step hypothesis test to test the claim that the mean difference between the pulse rates before and after the run is significantly zero. Based on the result, do the male pulse rates taken before and after running appear to be about the same or not?