It was claimed recently that more than 55% 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 215 U.S. high school students and find that 135 of these students use computers for educational purposes. Based on this, can we conclude, at the 0.05 level of significance, that more than 55% 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.) (a) State the null hypothesis Ho and the alternative hypothesis H. O P H :0 X S H :1 (b) Determine the type of test statistic to use. (Choose one) 0=0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0+0 00 X ? (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that more than 55% of high school students in the United States use computers for educational purposes? OYes ONo