Question

18. A researcher claims that more than 75% of the adults believe in global warming, Mimi conducted a survey on a random sample of 300 adults. The survey showed that 240 adults in the sample believe in global warming. Assume Mimi wants to use a 0.05 significance level to test the researcher's claim. (a) What is the appropriate hypothesis test to use for this analysis? Please identify and explain (b) Identify the null hypothesis and the alternative hypothesis. why it is appropriate. (c) (d) (e) f Determine the test statistic. Round your answer to two decimal places. Describe method used for obtaining the test statistic Determine the p-value. Round your answer to three decimal places. Describe method used for obtaining the p-value Compare p-value and significance level α. What decision should be made regarding the null hypothesis (e.g., reject or fail to reject) and why? Is there sufficient evidence to support the researcher's claim that more than 75% of the adults believe in global warming? Explain your conclusion.

Answer 1

iven that 300 X - 240 P X 24008 30o e use one prepor hunal --lest to omalyo Sample size is Sufficienty ge g Here, we use one po porhonl z-lest to me above dhto because for propor hen 'The Null 4 Alternative hypothesis Ho: P=0.75(45%) (Null) H,: p>075 (claim) (alternative Test startisthics о-80-075 0.15 Y 0-2 5 300 by CLT Theovem Centhal l Po (1-P) 50$ 0,025 v/ C two decimal 2Ising tible eeima Hert, PYale0.os, we Rejeet the Null hj pother There is Suflicient evidante to Support the clat m thal more thons (1s 7.) of the adults beliv e in global War înJ ㄴ / - ad 5% level -f