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The US Department of Energy reported that 52% of homes were heated by natural gas. A random sample of 346 homes in Oregon found that 132 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 3% significance level. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: p V 0.52 H: P 0.52 Based on the hypotheses, find the following: Test Statistic = 5.175 "Rounded to 2 decimals. ) p-value = 0.039309 (Rounded to 4 decimals.) Based on the above we choose to | Reject the null hypothesis The correct summary would be: | There is enough evidence to reject the claim V that the proportion of homes in Oregon that were heated by natural gas is different than what the DOE reported value of 52%.A company manufacturing computer chips finds that 8% of all chips manufactured are defective. Management is concerned that employee inattention is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to offer incentives to employees who have lower defect rates on their shifts. The incentive program is instituted for one month. If successful, the company will continue with the incentive program. 1) Match the appropriate null and alternative hypotheses in this setting. by Ho a. P = .08 d vHI b. P = .08 C. P > .08 d. P