Researchers want to use a hypothesis test to test the claim that the proportion of college students that have an Instagram account is more than 85%. They obtained a simple random sample of 463 students and obtained the following results: Has Instagram Account.     Frequency Yes                                              411 No                                                52  a. Are the researchers testing a claim about a proportion or mean?     B.Assume that the requirements needed for the hypothesis test have been met. Write the mathematical expression for the null and alternative hypothesis.   C.Use the formula to find the test statistic. Round your answer to two decimal places.  D. The researchers found the P-value to be 0.01. Provide a sketch of the density curve that belongs to this P-value. E.Using a 5% level of significance and a P-value of 0.01, do the researchers reject or fail to reject the null hypothesis? Explain your reasoning.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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Researchers want to use a hypothesis test to test the claim that the proportion of college students that have an Instagram account is more than 85%. They obtained a simple random sample of 463 students and obtained the following results:
Has Instagram Account.     Frequency
Yes                                              411
No                                                52 

a. Are the researchers testing a claim about a proportion or mean?  

 

B.Assume that the requirements needed for the hypothesis test have been met. Write the mathematical expression for the null and alternative hypothesis.

 

C.Use the formula to find the test statistic. Round your answer to two decimal places. 

D. The researchers found the P-value to be 0.01. Provide a sketch of the density curve that belongs to this P-value.

E.Using a 5% level of significance and a P-value of 0.01, do the researchers reject or fail to reject the null hypothesis? Explain your reasoning. 

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