Perform the Indicated Hypothesis Test Use a Significance Level of 0

question 24

Essay

Perform the indicated hypothesis test. Assume that the two samples are independent simple random samples selected from normally distributed populations. Also assume that the population standard deviations are equal (?1 = ?2), so that the standard error of the difference between means is obtained by pooling the sample variances .
-A researcher wishes to determine whether the blood pressure of vegetarians is, on average, lower than the blood pressure of nonvegetarians. Independent simple random samples of 85 vegetarians and 75 nonvegetarians yielded the following sample statistics for systolic blood pressure:
$$\begin{array} { l l } \text { Vegetarians } & \text { Nonvegetarians } \\\hline \mathrm { n } _ { 1 } = 85 & \mathrm { n } _ { 2 }= 75 \\\overline { \mathrm { x } _ { 1 } } = 124.1 \mathrm { mmHg } & \overline { \mathrm { x }} _ { 2 } = 138.7 \mathrm { mmHg } \\\mathrm { s } _ { 1 } = 38.7 \mathrm { mmHg } & \mathrm { s } _ { 2 } = 39.2 \mathrm { mmHg }\end{array}$$
Use a significance level of 0.01 to test the claim that the mean systolic blood pressure for vegetarians is lower than the mean systolic blood pressure for nonvegetarians. Use the P-value method of hypothesis testing.

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Definitions:

Assimilationist Politics

Policies or practices that encourage individuals or groups to conform to the cultural norms of a dominant or majority group, often at the expense of their own cultural identity.

Internalized Oppression

The process by which individuals from marginalized groups come to accept and live out the inaccurate myths and stereotypes applied to them by the dominant culture.

Sensationalized

Describes information, especially in media, that is exaggerated or presented in a way that provokes public excitement or interest at the expense of accuracy or impartiality.

Performative

Relating to actions done for show or to fulfill a cultural, social, or political expectation, rather than from genuine personal conviction.