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 Frequency 103 114 124 96 63 The dentist would like to use these results to conduct a X 2 goodness-of-fit test to determine if the distribution of appointments agrees with an even distribution using a 5% level of significance. Chi Square Distribution Table Question 1 of 4 a. Calculate the test statistic. Round to two decimal places if necessary b. Determine the critical value(s) for the hypothesis test. + Ec. Conclude whether to reject the null hypothesis or not based cm the test statistic. O Reject O Fail to Reject Question 2 of 4 A phone company plans on offering their new smartphone in four colours: white, black, silver and rose gold. They anticipate that 30% of shoppers will prefer white, 35% will prefer black, 20% will prefer silver and 15% will prefer rose gold. They perform market research by asking a random sample of 350 potential customers which colour they prefer. Can the company conclude that their expected distribution was accurate using a 2.5% level of significance? Chi Square Distribution Table Question 2 of 4 a. Calculate the test statistic. Round to two decimal places if necessary b. Determine the critical value(s) for the hypothesis test. + E Round to two decimal places if necessaryc. Conclude whether to reject the null hypothesis or not based cm the test statistic. O Reject O Fail to Reject Question 3 of4 You buy a big bag of 50 gumballs. There are five different colours of gumball in the bag and you are curious if each of the colours were equally likely to be put in the bag or whether some colours were more likely than others. a. If all five colours were equally likely to be put in the bag, what would be the expected number of gumballs of each colour? b. Suppose that you open the bag of gumballs and separate them into five piles by colour. You find that you have 8 red, 7 green, 16 orange, 7 yellow and 12 blue. Determine the X 2 test statistic if the null hypothesis is that the colours of the gumballs occur with equal frequency. X2: 5 Question 4 of4 Use the Chi Square Distribution Table to find the following critical X 2 values. Chi Square Distribution Table b. X 2.11 for df : 4: