Name:____________________________________Chapter 9 Problem Solving Worksheet1. Suppose you are condu

Name:____________________________________Chapter 9 Problem Solving Worksheet1. Suppose you are conducting the following tests with the following test statistics.Calculate the P-value for each of the problems.(a) A z-test with the following null and alternative hypothesis and test statisticH 0 : 0 against H a : 0withz 2.54(b) A z-test with the following null and alternative hypothesis and test statisticH 0 : 0 against H a : 0withz 1.27(c) If you were conducting a 1% significance test, would your answers to each part (a) and (b)lead you to reject or not reject the null hypothesis?2. Researchers are interested in the effect of caffeine on heart rate. Suppose withoutcaffeine the normal resting heart rate is 70 beats per minute. A group of 44 volunteersdrank a cup of coffee and their heart rates were measured 10 minutes later. The sampleaverage heart rate of those drinking caffeine was 77.3 beats per minute with a samplestandard deviation of 6.5 beats per minute. At the 10% significance level is thereevidence that the caffeine increased the average heart rate? Conduct a hypothesis test.a) State the null and alternative hypothesis.b) Calculate the test statistic by hand. Show your work! You can use a calculator forbasic arithmetic like addition, subtraction, multiplication, or division.c) What is the critical value?d) Would you reject or not reject the null hypothesis?e) State your interpretation (conclusion) using full sentences. What does your decisionto reject or not reject mean in context of the problem?