Coffee and blood pressure. A scientist suspects that coffee increases blood pressure. So, he measures thesystolic blood pressure of six random patients and then measures it again 30 minutes after they drink asingle cup of caffeinated coffee. The results are tabulated below. Test the claim that coffee causes anincrease in blood pressure.Before Coffee123114100120112115After Coffee123119102121112118(a) Why are these paired data?O This table does not have paired data; there is no clear relationship between the data in eachcolumn.O Each column contains data from the same patient.O Most of the 'After Coffee' values are smaller than the corresponding 'Before Coffee' values.O The after and before rows are the same size.(b) Write the hypotheses in symbols. Note that this problem uses Haiffabefore-after instead of Pdiff-after-beforeso be careful.O H;: Pdiffabefore-after = 0H3: Pdiff-before-after 0O Ho: Hdiffabefore-afterH3: Pdiffabefore-after= 0= 0OH,: Hdiff-before-after = 0H3: Pdiff-before-after>0(C) Put the list of differences in your calculator and use T-Test to find the p-value.|(please round to three significant figures)(d) What is the conclusion of the hypothesis test?O Since p2 0.05 we do not have enough evidence to reject the null hypothesis.O Since p < 0.05 we reject the null hypothesis and support the alternative.O Since p 2 0.05 we support the null hypothesis.O Since p 2 0.05 we reject the null hypothesis and accept the alternative.O Since p < 0.05 we fail to reject the null hypothesis.(e) What is the final conclusion in everyday language?O The scientist's suspicion is wrong: there is no evidence that coffee increases blood pressure.O The scientist's suspicion is probably right: there is sufficient evidence to support the claim thatcoffee increases blood pressure.O The scientist's suspicion could be wrong: there is not sufficient evidence to support the claim thatcoffee increases blood pressure.

There are two dependent samples which are before coffee and after coffee. We have to test whether…

Coffee and blood pressure. A scientist suspects that coffee increases blood pressure. So, he measures the systolic blood pressure of six random patients and then measures it again 30 minutes after they drink a single cup of caffeinated coffee. The results are tabulated below. Test the claim that coffee causes an increase in blood pressure. Before Coffee | 123 | 114 | 100 | 120 | 112 | 115 After Coffee 123 119 | 102| 121 | 112| 118 (a) Why are these paired data? O This table does not have paired data; there is no clear relationship between the data in each column. O Each column contains data from the same patient. O Most of the 'After Coffee' values are smaller than the corresponding "Before Coffee' values. O The after and before rows are the same size. (b) Write the hypotheses in symbols. Note that this problem uses Paiffabefore-after instead of Hgiffafter-before so be careful. OH;: Haiffabefore-after-0 H: Haiffabefore-after <0 O Hg: Haiffubefore-after -0 Hạ: Hairfabefore-after *0 O Hg: Haiffabefore-after =0 Hạ: Haiffabefore-after 0 (c) Put the list of differences in your calculator and use T-Test to find the p-value. (please round to three significant figures) (d) What is the conclusion of the hypothesis test? O Since p 2 0.05 we do not have enough evidence to reject the null hypothesis. O Since p< 0.05 we reject the null hypothesis and support the alternative. O Since p 2 0.05 we support the null hypothesis. O Since p 2 0.05 we reject the null hypothesis and accept the alternative. O Since p< 0.05 we fail to reject the null hypothesis. (e) What is the final conclusion in everyday language? O The scientist's suspicion is wrong: there is no evidence that coffee increases blood pressure. O The scientist's suspicion is probably right: there is sufficient evidence to support the claim that coffee increases blood pressure. O The scientist's suspicion could be wrong: there is not sufficient evidence to support the claim that coffee increases blood pressure.