question

A poll of 1130 teens aged 13 to 17 showed that 56% of them have made new friends online. Use a 0.10 signicance level to test the claim that half of all teens have made new friends online. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of all teens aged 13 to 17 who have made new friends online. Identify the null and alternative hypotheses. H0: p = 0.5 H1: p # 0.5 (Type integers or decimals. Do not round.) Identify the test statistic. z = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) The piston diameter of a certain hand pump is 0.6 inch. The manager determines that the diameters are normally distributed, with a mean of 0.6 inch and a standard deviation of 0.004 inch. After recalibrating the production machine, the manager randomly selects 26 pistons and determines that the standard deviation is 0.0034 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a = 0.01 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho: o = 0.004. The alternative hypothesis is H1: