Questions A, B, and C. Please! **Title: Testing for Extroversion Among Student Government Leaders**Are most student government leaders extroverts? According to Myers-Briggs estimates, about 82% of college student government leaders are extroverts. Suppose that a Myers-Briggs personality preference test was given to a random sample of 72 student government leaders attending a large national leadership conference, and that 55 were found to be extroverts. Does this indicate that the population proportion of extroverts among college student government leaders is different (either way) from 82%? Use α = 0.01.### (a) What is the level of significance?The level of significance is α = 0.01.### State the null and alternate hypotheses:- **$ H_0 $: $ p = 0.82 $; $ H_1 $: $ p \neq 0.82 $ (selected option)**### Options:- $ H_0: p = 0.82 $; $ H_1: p < 0.82 $- $ H_0: p \neq 0.82 $; $ H_1: p = 0.82 $- $ H_0: p = 0.82 $; $ H_1: p > 0.82 $### (b) What sampling distribution will you use?- **The Student's t, since np < 5 and nq ≤ 5. (selected option)**### Options:- The standard normal, since np > 5 and nq > 5.- The standard normal, since np < 5 and nq < 5.- The Student's t, since np < 5 and nq < 5.### What is the value of the sample test statistic? *(Round your answer to two decimal places.)*`[Input box]`### (c) Find the P-value of the test statistic.*(Round your answer to four decimal places.)*`[Input box]`---This resource guides you through setting up and evaluating a hypothesis test regarding extroversion in student government leaders using statistical methods.

Name: Questions A, B, and C. Please! **Title: Testing for Extroversion Among
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Description: Questions A, B, and C. Please! **Title: Testing for Extroversion Among Student Government Leaders**Are most student government leaders extroverts? According to Myers-Briggs estimates, about 82% of college student government leaders are extroverts. Su

Given: α=0.01 x=55n=72 p=0.82(a) level of significance α=0.01 (B) is the correct option H0: p=0.82H1:p ≠0.82(b) The Standard normal, since np>5 and nq>5 option (a) is the correct option. p^=xn=5572=0.7639σ=p1-pn=0.821-0.8272=0.0453z=p^-pσ=0.7639-0.820.0453=-1.23 The value of test Statistics is -1.23(c) P-Value of the test Statistics For the 2-tailed test P-Value=2×Pz<-1.23=2×0.1093=0.2186

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Are most student government leaders extroverts? According to Myers-Briggs estimates, about 82% of college student govemment leaders are extroverts.t Suppose that a Myers-Briggs personality preference test was given to a random sample of 72 student govemment leaders attending a large national leadership conference and that 55 were found to be extroverts. Does this indicate that the population proportion of extroverts among college student government leaders is different (either way) from 82%? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. Hip= 0.82; H,1 p < 0.82 •DH,:p- 0.82; H, : p * 0.82 H,ip > 0.82; H, i p = 0.82 Hgip 0.82; H,1 p - 0.82 Hoip= 0.82; H,: p > 0.82 (b) What sampling distribution will you use? O The standard normal, since np > 5 and ng > 5. O The standard normal, since np « 5 and ng < 5. O The Student's t. since np < 5 and ng < 5. O The Student's t, since np > 5 and ng > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the Prvalue of the test statistic. (Round your answer to four decimal places.)

Are most student government leaders extroverts? According to Myers-Briggs estimates, about 82% of college student govemment leaders are extroverts.t Suppose that a Myers-Briggs personality preference test was given to a random sample of 72 student govemment leaders attending a large national leadership conference and that 55 were found to be extroverts. Does this indicate that the population proportion of extroverts among college student government leaders is different (either way) from 82%? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. Hip= 0.82; H,1 p < 0.82 •DH,:p- 0.82; H, : p * 0.82 H,ip > 0.82; H, i p = 0.82 Hgip 0.82; H,1 p - 0.82 Hoip= 0.82; H,: p > 0.82 (b) What sampling distribution will you use? O The standard normal, since np > 5 and ng > 5. O The standard normal, since np « 5 and ng < 5. O The Student's t. since np < 5 and ng < 5. O The Student's t, since np > 5 and ng > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the Prvalue of the test statistic. (Round your answer to four decimal places.)

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Questions A, B, and C. Please!

**Title: Testing for Extroversion Among Student Government Leaders**

Are most student government leaders extroverts? According to Myers-Briggs estimates, about 82% of college student government leaders are extroverts. Suppose that a Myers-Briggs personality preference test was given to a random sample of 72 student government leaders attending a large national leadership conference, and that 55 were found to be extroverts. Does this indicate that the population proportion of extroverts among college student government leaders is different (either way) from 82%? Use α = 0.01.

### (a) What is the level of significance?

The level of significance is α = 0.01.

### State the null and alternate hypotheses:
- **$ H_0 $: $ p = 0.82 $; $ H_1 $: $ p \neq 0.82 $ (selected option)**

### Options:
- $ H_0: p = 0.82 $; $ H_1: p < 0.82 $
- $ H_0: p \neq 0.82 $; $ H_1: p = 0.82 $
- $ H_0: p = 0.82 $; $ H_1: p > 0.82 $

### (b) What sampling distribution will you use?

- **The Student's t, since np < 5 and nq ≤ 5. (selected option)**

### Options:
- The standard normal, since np > 5 and nq > 5.
- The standard normal, since np < 5 and nq < 5.
- The Student's t, since np < 5 and nq < 5.

### What is the value of the sample test statistic?
*(Round your answer to two decimal places.)*

`[Input box]`

### (c) Find the P-value of the test statistic.
*(Round your answer to four decimal places.)*

`[Input box]`

---

This resource guides you through setting up and evaluating a hypothesis test regarding extroversion in student government leaders using statistical methods.

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