Most animals give birth during a general time of year. This is because animals naturally breed so that their young will be born
at the time of year when there will be adequate food supply. The bar graph shows the number of live births of a jackrabbit native to California over the course of Year X. Based on the data, which of the following would be an appropriate conclusion?
A) In general, rabbits give birth during the spring months
B) In general, rabbits give birth during the summer months
C) In general,m California jackrabbits give birth during the spring months
D) In general, California jackrabbits give birth during the summer months
A) In general, rabbits give birth during the spring months
B) In general, rabbits give birth during the summer months
C) In general,m California jackrabbits give birth during the spring months
D) In general, California jackrabbits give birth during the summer months
1 answer:
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Answer:
a. The test statistic for this hypothesis would be z=1.71
b. Critical value at α = 0.10: z=1.282
c. Reject H0, the television network should not keep its current lineup.
d. H0: p ≤ 0.50; HA: p > 0.50
Step-by-step explanation:
We have to performa an hypothesis test on a proportion.
The claim is that the proportion of viewers that prefer the new show is bigger than 50% (meaning that most viewers prefer the new show).
The null hypothesis will state that both shows have the same proportion.
Then, the null and alternative hypothesis are:
The sample proportion is p=0.53
The standard error of the proportion is:
Then, the z-statistic can be calculated as:
The critical value for a right tailed test at a significance level of 0.10 is zc=1.282. This value can be looked up in a standard normal distribution table.
As the statistic is bigger than the critical value, it lies in the rejection region. The null hypothesis is rejected. There is evidence to support the claim that the proportion of viewers which support the new show is larger than 0.50.