Unit 1ll'll Assignment Hypothesis Testing for ICollege Tuition Cost In this assignment, you will be using inferential statistics to determine if a claim about college tuition cost is accurate. According to the College Board's website. the average tuition cost per year for a public four year college [in-state cost] is $8,813. A] Assume that you disagree with the claim. For this assignment. you will be testing your claim that the average tuition cost per year for a public four-year oollege is not $8.813. Highlight your cioim. H\": g = $8,813 HE: g at $8.313 B} Gather data for tuition cost of 20 different universities in your state. Assume the data you gather is normally distributed. Howto Create your data set: Follow.r the d'reclions to ll in the table below v.rith 2|] college's tuition costs. Navigate to Mil'wwwcolemilioncomare.comicomgettablesi In the chop down menus, select School Type as 'Public SchooF and School Level as '4 year or higher.' Leave the rest as is. Then select \"update." Scroll down to the bottom of the st and for \"Nm'ber of schools to show.\" select \"All.\" The list given wil be it alphmetical order. You wil be selecting El] college tuition costs from this ist. Do NOT just use the list 20 entries or even 20 consecutive entitles. 1it"ou 'll'llil need to mndomiyselect 2D entries from the ent're list Try to matte sure you have a good range of tuition costs as well. Write the tuition cost from the rst column, "Tuition 8. Fees I lnState\" for that college in the table below. C] Calculate the mean and standard deviation of your data set. You may use technologv such as IGoogle Sheets, Excel, or a TlBa'I-Bd. Hound to the nearest hundredth. Mean as Standard Deviation as D} Using a significance level or = CLUE, nd the critical values using the following steps. 1. What are the degrees of freedom? =n1 2. Will this be a onetailed or two tailed test? 3. Using table 5 from the back of vour textbook {page A13 in Appendix B}, what is the critical value ? E} Add the critical values to the graph below and shade the rejection region. F] Calculate the test statistic. Replace the "E" in the formula with the appropriate values. Round to the nearest hundredth G} Add the test statistic to your graph from part F and insert the image below. H} What is the pvalue? Use Google Sheets or Excel to calculate this value. Click here for a video on how to use Google Sheets to calculate the pvalue of a ttest. p value = ? the pvalue. Note that the same conclusion will be reached using either method. J] Interpret the decision in the context of the original claim. E] If you lower the level of signicance to or = Dill, does your decision change? Explain your reasoning. L} Describe the type I and type II errors that oould occur in our test by completing each of the following stateme nts. I A {type I, type It] error will oowr when the actual mean of college tuition cost is 58.813 but you reject the null hypothesis, Hum = $3,313. I A {type I, type It] error will occur when the actual mean of college tuition cost is not $8313 but you fail to reject the null hypothesis, H": p, = 31313