A state senator currently has an approval rating of 64%. After a scandal involving insider trading, the senator wants to determine if his approval rating still holds. A random sample of his constituents found that 528 people out of 872 still supported him.  State the null and alternative hypotheses used to determine if his approval rating has declined. Decide if you can use a normal model to approximate the distribution of sample proportions. Find the standardized test statistic.  Find the P-value. State the conclusion of the hypothesis test at a level of significance of 0.05.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. A state senator currently has an approval rating of 64%. After a scandal involving insider trading, the senator wants to determine if his approval rating still holds. A random sample of his constituents found that 528 people out of 872 still supported him. 
    1. State the null and alternative hypotheses used to determine if his approval rating has declined.
    2. Decide if you can use a normal model to approximate the distribution of sample proportions.
    3. Find the standardized test statistic.
    4.  Find the P-value.
    5. State the conclusion of the hypothesis test at a level of significance of 0.05.
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