Stat 200 Lab 10Ø The null hypothesis is a statement that nothing is happening. It may be a statementthat there is no relationship, or no difference, or that the status quo is correct.Ø The alternative hypothesis is a statement that that there is a relationship, or there is adifference, or that the status quo is incorrect. Most often, researchers hope to "prove"that the alternative hypothesis is the correct explanation of their situation.Activity 1For each of the following situations, write null and alternative hypotheses. Be as specificas possible.(a) Up until the 1980s, it was usually stated that the mean height of men was 69 inches.Researchers now think that the mean height of men is greater than this value.(b) In a recent class, we compared men and women with regard to the proportion whofound it easiest to make friends with the opposite sex.(c) Last week in Stat 100, I asked students to randomly choose on of the numbers1,2,…,10. With random picking, the chance of picking the number "7" is 1/10. Ibelieve that people are more likely than this to pick the number 7."(d) Is there a relationship between the hours per day that students study and the hours perday that they sleep?(e) A researcher asks pregnant women to predict the sex of their babies. The researcherthinks that the proportion of correct guesses will be higher than the proportion thatresults from chance luck.Page 2Ø A test statistic is summary of the data that can be used to decide between the null andalternative hypothesis.Ø A p-value is the probability that an observed test statistic would be as large as it is(or larger) if the null hypothesis is true.Ø A statistically significant result is one for which the p-value is 0.05. This is usuallyinterpreted as evidence in favor of the alternative hypothesis.Activity 2In the Stat 100 number picking activity described in the previous activity, 40 students outof n=183 picked the number "7." Use Minitab to determine a p-value for decidingbetween H0: p =0.10 and Ha: p >0.10. What's the value of ˆp? What is the p-value of thetest? What is the conclusion about the null and alternative hypotheses?Minitab Help: Use Stat>Basic Stats>1 Proportion. Use the Options button to set upthe details of the test. You've got Summarized Data.Activity 3In a February Gallup Poll, about 50% of the respondents said they believed in love at firstsight. Let p = proportion of college students who believe in love at first sight. What nulland alternative hypothesis do you think would be appropriate?The class data for this question is: (we'll supply it)Use Minitab to test your null and alternative hypotheses. What is your conclusion? (Youwon't be able to do this until we get you the data.)Stat 200 Lab 10 Survey1. Do you believe in love at first sight? (Yes, No, or Don't Know) ________ 2. Do you think there is extra-terrestrial life? (Yes, No, Don't Know) ________3. In a typical day, about how long do you spend watching television? ____________4. About how many minutes do you spend for a typical shower? ______ minutes5. What is you sex? _________________Stat 200 Lab 10 AttendanceName _______________________________________Section __________________Last 4 digits of ID _______________Stat 200 Lab 10 AttendanceName _______________________________________Section __________________Last 4 digits of ID