A recent sports game set a record for the number of television viewers. The game

Question

A recent sports game set a record for the number of television viewers. The game had a share of 77%, meaning that among the television sets in use at the time of the game, 77% were tuned to the game. The sample size is 25,133 households. Use a 0.05 significance level to test the claim that more than 73% of television sets in use were tuned to the sports game. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution Which of the following is the hypothesis test to be conducted? OA. H:p> 0.73 B. Ho:p#0.73 HI : p-0.73 O D. Ho: p 0.73 H1: p> 0.7:3 F. Ho : p-0.73 H 1 : p #0.73 HI : p-0.73 ?. ??: p

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.73
HA : p > 0.73

Hypothesis test results:

Hence,

Option D is correct.

z = 14.28

p - Value = 0.0000

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 19352.41 25133 0.77 0.0028004069 14.283638 <0.0001

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