In a Simple Random Sample of Size 78, There Were $H _ { 0 } : p = 0.51 \text { versus } H _ { 1 } : p < 0.51$

question 86

Short Answer

In a simple random sample of size 78, there were 20 individuals in the category of interest. It is desired to test $H _ { 0 } : p = 0.51 \text { versus } H _ { 1 } : p < 0.51$
i). Compute the sample proportion $\hat { p }$ .
ii). It is desired to test H₀: p=0.51 versus H1: p>0.51 Compute the test statistic z.
iii). Do you reject H₀ at the 0.01 level?

Understand the significance of representative samples in research.

Recognize the appropriate research design to establish causality between variables.

Comprehend the basic elements and challenges of survey research and experiments in social science.

Understand the factors motivating enabling behaviors and their implications.

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Definitions:

Initiating Structure

A leadership behavior characterized by clearly defining roles, setting goals, and establishing clear patterns of organization and communication.

Team Leadership Style

Describes the approach and methods used by a leader to motivate, guide, and manage a team towards its goals.

Leader-Member Exchange

A theory describing the dyadic relationship quality between leaders and followers, influencing workplace dynamics.

Consensus Leader

Leader who encourages group discussion about an issue and then makes a decision that reflects the consensus of the group members.