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A popular blog reports that 45% of college students log in to Instagram on a daily basis. The Dean of Students at a certain university thinks that the proportion may be different at her university. She polls a simple random sample of 205 students, and 108 of them report that they log in to Instagram daily. Can you conclude that the proportion of students who log in to Instagram daily differs from 45% ? Use the `\alpha` 0.04 level. Round answers to 4 decimal places a. State the null and alternative hypotheses. H_{0}: pv H_{1}: p V b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: -3 -2 -1 0 AAA 2 3 -3 -2 -1 0 1 2 3 -3 -2 -1 Critical value(s): O 0.45 O 0.45 c. Find the test statistic. (If there are two critical values, list both values separated by a comma) d. Find the p-value. 0 1 2 3

A popular blog reports that 45% of college students log in to Instagram on a daily basis. The Dean of Students at a certain university thinks that the proportion may be different at her university. She polls a simple random sample of 205 students, and 108 of them report that they log in to Instagram daily. Can you conclude that the proportion of students who log in to Instagram daily differs from 45% ? Use the `\alpha` 0.04 level. Round answers to 4 decimal places a. State the null and alternative hypotheses. H_{0}: pv H_{1}: p V b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: -3 -2 -1 0 AAA 2 3 -3 -2 -1 0 1 2 3 -3 -2 -1 Critical value(s): O 0.45 O 0.45 c. Find the test statistic. (If there are two critical values, list both values separated by a comma) d. Find the p-value. 0 1 2 3

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A popular blog reports that 45% of college students log in to Instagram on a daily basis. The Dean of Students at a certain university thinks that the proportion may be different at her university. She polls a simple random sample of 205 students, and 108 of them report that they log in to Instagram daily. Can you conclude that the proportion of students who log in to Instagram daily differs from 45%? Use the `\alpha 0.04 level. Round answers to 4 decimal places a. State the null and alternative hypotheses. H_{0}: p H_{1}: P -3 -2 -1 Critical value(s): b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: #v c. Find the test statistic. d. Find the p-value. 0.45 3 0.45 -2 -1 ४ (If there are two critical values, list both values separated by a comma) 2 3 -3 -2 -1 3
Transcribed Image Text:A popular blog reports that 45% of college students log in to Instagram on a daily basis. The Dean of Students at a certain university thinks that the proportion may be different at her university. She polls a simple random sample of 205 students, and 108 of them report that they log in to Instagram daily. Can you conclude that the proportion of students who log in to Instagram daily differs from 45%? Use the `\alpha 0.04 level. Round answers to 4 decimal places a. State the null and alternative hypotheses. H_{0}: p H_{1}: P -3 -2 -1 Critical value(s): b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: #v c. Find the test statistic. d. Find the p-value. 0.45 3 0.45 -2 -1 ४ (If there are two critical values, list both values separated by a comma) 2 3 -3 -2 -1 3
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