A builder claims that heat pumps are installed in more than 70% of all homes being constructed today in a city. Test this claim at the 10% significance level if a survey showed that 11 out of 15 homes had heat pumps installed. (A) State the null and alternate hypotheses. (2 points) (B) What is (are) the critical values for this test? (2 points) (C) What is the computed value of the test statistic? (2 points) (D) What is the conclusion? (2 points)
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Question 3 A builder claims that heat pumps are installed in 70% of all homes being constructed today in a city. Would you agree with this claim if a survey of homes showed that 8 out of 15 had heat pumps installed? Use α = 10% significance level. (5 points each section) A) What are the null and alternate hypotheses? B) What is (are) the critical values for this test? C) What is the computed value of the test statistic? D) What is the conclusion?
Kalpaka M.
A builder states that heat pumps are installed in 70% of all new homes being constructed today in the city of Richland, Washington. The city of Richland would like to know whether fewer than 70% new homes have a heat pump installed. They would also like to estimate the population proportion of houses that have heat pumps installed. The city took a simple random sample of 58 new homes, which indicated that 32 had heat pumps installed. Use a significance of 0.05. State: Is the proportion of new houses with a heat pump installed in Richland, Washington less than 70%? Plan: a. (1 point) What is the unknown parameter we are testing? b. (1 point) State the null and alternative hypotheses. Solve: c. (1 point) Check the conditions. d. (1 point) Calculate the test statistic. Show work. What is the p-value?_____________________ e. (1 point) Calculate a 95% confidence interval for the parameter of interest. Show work. Conclude f. (2 point) Write a four-part conclusion based on the p-value you found, the evidence in favor of the alternative, the point estimate and the confidence interval.
Sheryl E.
The US Department of Energy reported that 50% of homes were heated by natural gas. A random sample of 311 homes in Oregon found that 127 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 5% significance level. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: Based on the hypotheses, find the following: Test Statistic = p-value = Based on the above we choose to Reject the null hypothesis
Rosina D.
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