question 3

The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2200 pounds with a standard deviation of 183. A consumer protection agency claims that the actual standard deviation is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis H, and the alternative hypothesis H, they would use for this test. H : 1 H X p H: 1 P S 00 020 0=0 0#0The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 129 out of a random sample of 250 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H. H p Ho : 0 X S (b) Determine the type of test statistic to use. (Choose one) O=0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 070 00 0(d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim that the proportion of residents who recycle is less than 60%? OYes ONo