Based on information from Harper's Index, 37 out of a random sample of 100 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of 100 adult...

Extracted text: Based on information from Harper's Index, 37 out of a random sample of 100 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of 100 adult Americans who did attend college, 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attend college and who believe in extraterrestrials is higher than the proportion who did not attend college? (a) State the hypotheses in plain language. (b) Fill in the table below, then enter this table in the left side of the Rossman-Chance applet. No college College Total Believe in ETs 84 Did not believe in ETs 116 Total 100 100 200 (c) Compute the point estimate for the difference in the proportion believing in extraterrestrials between those not attending college and those attending college. Pne – Pe = (d) Complete at least 1000 simulations in the Rossman-Chance app 2 and report your findings below. (For help with the applet, refer to the e "Using the Rossman-Chance Applet" 2 [+] handout.) (i) What is the p-value? less than .01 (strong evidence that the proportion who believe in extraterrestrials is different for those who did or did not attend college) between .01 and .05 (moderate evidence that the proportion who believe in extraterrestrials is different for those who did or did not attend college) O between .05 and .10 (little evidence that the proportion who believe in extraterrestrials is different for those who did or did not attend college) O more than .10 (no evidence that the proportion who believe in extraterrestrials is different for those who did or did not attend college) (ii) What is your decision about the null hypothesis? O You should accept the null hypothesis. O You should reject the null hypothesis. O You should fail to reject the null hypothesis. (iii) What is your conclusion about the alternative hypothesis? There is strong evidence that the proportion who believe in extraterrestrials is different for those who did or did not attend college. O There is no evidence that the proportion who believe in extraterrestrials is different for those who did or did not attend college.