the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. Enable Editing 1) A researcher wants to know whether the distouton of out In mont is uniform, mat is, pi =P2 = =p12 = 1/12 =0.083333 where 1 = January, 2 = February, ,12 - December. The following data, based on results obtained from Vital Statistics of the United States, 2005, Volume 1, represent the distribution of months in which 500 randomly selected children were born Month Frequency January 40 February 38 March 41 April 40 May 42 June 41 July 45 August 44 September 44 October 43 November 39 December 43 Is there a reason to believe that each birth month occurs with equal frequency at the a = 0.05 level of significance? a. State the null and alternative hypotheses for the population proportion in words. (Points: 10) b. State the null and alternative hypotheses for the population proportion using the mathematical notation. (Points: 10) Construct a table to compute the expected number of births during each month. Hint: Construct your table in Microsoft Excel and then copy and paste the table into a Word document. (Points: 10) d. Use the insert equation button from Microsoft Word to type the formula(s) for calculating the test statistic. Click on the Insert tab, then click on the Equation button, then use the Structures buttons and the Symbols buttons from the Equation Tools Design tab to type your formula. (Points: 10) e. Add additional columns to your table in part (c) so that it shows the procedure (the additional calculations that are necessary) to compute the test statistic. Make sure you carry at least four decimals in all your calculations. Hint Look at the test statistic in part (d) to determine the additional columns that are necessary to compute your test statistic. Construct the table in Microsoft Excel and then copy and paste the table into a Word document (Points: 20) f. What is your final answer for the test statistic for the appropriate hypothesis? Need to carry at least four decimals m all your calculations to get the correct final answer. (Points: 10) Page 1 of 2 g. What is (are) the critical value(s) for this hypothesis test? Use a = 0.05 significance level (Points: 10) h. Do you reject or fail to reject Ho? Make sure you explain why (Points: 10) i State the correct conclusion ( There is sufficient evidence at the a = 0.05 significance level to support..." or "There is NOT sufficient evidence at the a = 0.05 significance level to support. "). Make sure you state the conclusion in terms of Hi. (Points: 10) Focus