To study the effect of soothing music on a person's blood pressure, two random groups of 220 adults were drawn.One group (sample 1) listened to soothing music for 5 min prior to having their blood pressure taken, while the other group (sample 2) sat in silence.From previous studies, it was found that both populations have a standard deviation of 39.18.The average systolic blood pressure from the music group was 114.5.The average systolic blood pressure from the silence group was 122.8.Does the experiment support the conclusion that soothing music significantly lowers average systolic blood pressure better than silence? Select the correct p-value and decision and state the null hypothesis.Use α = 0.01.
A) p-value = 0.0264; fail to reject H₀; The null hypothesis is that there is no significant difference between the two groups.
B) p-value = 0.0264; reject H₀; The null hypothesis is that is a significant difference between the two groups.
C) p-value = 0.0132; fail to reject H₀; The null hypothesis is that there is no significant difference between the two groups.
D) p-value = 0.9736; fail to reject H₀; The null hypothesis is that there is a significant difference between the two groups.
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