There may be an association between a country's birthrate and the life expectancy of its inhabitants. A recent report, coming from a random sample of 26 countries, contained the following information: the least-squares regression equation relating the two variables number of births per one thousand people (denoted by x) and female life expectancy (denoted by ) and measured in years) is y - 87.23-0.48x, and the standard error of the slope of this least-squares regression line is approximately 0.34. Based on this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population slope . (Assume that the variable ) follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H, P Ho :I X (b) Determine the type of test statistic to use. t Degrees of freedom: 020 0-0 030 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) (e) Based on the report, can we conclude (using the 0.05 level) that there is a significant linear relationship between number of births per one thousand people and female life expectancy? Yes No