It was claimed recently that more than $5% of high school students in the United States use computers for educational purposes. We wish to examine this claim. We choose a random sample of 135 U.S. high school students and find that $7 of these students use computers for educational purposes. Based on this, can we conclude, at the 0.01 level of significance, that more than $5% of high school students in the United States use computers for educational purposes? In your answers, denote the proportion of all U.S. high school students who happen to use computers for educational purposes by p. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (@) State the null hypothesis Ho and the alternative hypothesis H1. P Ho : 1 X S p H :0 (b) Determine the type of test statistic to use. (Choose one) V 0=0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 00 00 0 X 5 ? (d) Find the critical value. (Round to three or more decimal places.) 0 (@) Can we conclude that more than 35% of high school students in the United States use computers for educational purposes? OYes ONo