math practice week 8

An urban economist is curious if the distribution in where Oregon residents live is different today than it was in 1990. She observes that today there are approximately 3,109 thousand residents in NW Oregon, 902 thousand residents in SW Oregon, 244 thousand in Central Oregon, and 102 thousand in Eastern Oregon. She knows that in 1990 the breakdown was as follows: 72.7% NW Oregon, 20.7% SW Oregon, 4.8% Central Oregon, and 2.8% Eastern Oregon. Can she conclude that the distribution in residence is different today at a 0.05 level of significance? Enter the test statistic - round to 4 decimal places. Test statistic= Answer Key:10.1714 Feedback: NW Oregon SW Oregon Central Oregon Eastern Oregon Observed Counts Expected Counts 4357*.727 = 3167.539 4357*.207= 901.899 4357*.048= 209.136 4357*.028= 121.996 Test Stat = Question 2 of 20 1.0/ 1.0 Points A company that develops over-the-counter medicines is working on a new product that is meant to shorten the length of sore throats. To test their product for effectiveness, they take a random sample of 110 people and record how long it took for their symptoms to completely disappear. The results are in the table below. The company knows that on average (without medication) it takes a sore throat 6 days or less to heal 42% of the time, 7-9 days 31% of the time, 10-12 days 16% of the time, and 13 days or more 11% of the time. Can it be concluded at the 0.01 level of significance that the patients who took the medicine healed at a different rate than these percentages? Hypotheses: H0: There is __________ in duration of a sore throat for those that took the medicine. math practice week 8 H1: There is __________in duration of a sore throat for those that took the medicine. Select the best fit choices that fit in the two blank spaces above.  A. no difference, a difference  B. a difference, no difference  C. no difference, no difference  D. a difference, a difference Answer Key:A Question 3 of 20 1.0/ 1.0 Points Click to see additional instructions Pamplona, Spain is the home of the festival of San Fermin – The Running of the Bulls. The town is in festival mode for a week and a half every year at the beginning of July. There is a running joke in the city, that Pamplona has a baby boom every April – 9 months after San Fermin. To test this claim, a resident takes a random sample of 300 birthdays from native residents and finds the following observed counts: January 25 February 25 March 27 April 26 May 21 June 26 July 22 August 27 September21 October 26 November 28 December 26 At the 0.05 level of significance, can it be concluded that births in Pamplona are not equally distributed throughout the 12 months of the year? Enter the test statistic - round to 2 decimal places