Question 1 of 4 A dentist wondered if his appointments were distributed evenly from Monday to Friday each week. He took a random sample of 500 appointments and recorded which day of the week they were booked for. His results are: Day Monday Tuesday Wednesday Thursday Friday Appointment 97 119 124 99 61 Frequency The dentist would like to use these results to conduct a x goodness-of-fit test to determine if the distribution of appointments agrees with an even distribution using a 2.5% level of significance. Chi Square Distribution Table a. Calculate the test statistic. X 2 0.00 Round to two decimal places if necessary b. Determine the critical value(s) for the hypothesis test. c. Conclude whether to reject the null hypothesis or not based on the test statistic. O Reject O Fail to Rejectmailer-2&4 A phone company plans on offering dieir new smartphone in four colours: white, black, silver and rose gold. They anticipate that 30% of shoppers I.mill preferwhite, 35% will prefer black, 20% will prefer silver and 15% will prefer rose gold. They perform market research by asking a random sample of 35D potential customers which colour they prefer. [an the company conclude that their expected distribution was accurate using a 2.5% level of significance? Chi Square Distribution Table a. Calculate the test staijstic. xizl owl Hound to two dedmai places J'fneca'saur b. Determine the critical valuefs} for the hypothesis test. | + | c. Conclude whed'ler to reject die null hypothesis or not based on the test statistic. CI Reject CI Fail to Reject