Jerome did a survey to find his classmates favorite sports.he found that 1/3 of the 24 students. 1/3 chose soccer. How many chos
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look at the picture ..........
Answer:
Critical value zc = 1.6449.
As the test statistic z=1.3881 is smaller than the critical value zc=1.6449, it falls in the acceptance region and the null hypothesis is failed to be rejected.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that more than 22% of the population will like the new soft drink.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample has a size n=400.
The sample proportion is p=0.25.
The standard error of the proportion is:
Then, we can calculate the z-statistic as:
As this is a right-tailed test, there is only one critical value and it is, for a significance level of 0.05, zc=1.6449.
As the test statistic z=1.3881 is smaller than the critical value zc=1.6449, it falls in the acceptance region and the null hypothesis is failed to be rejected.