g The parents of three children, ages 1, 3, and 6, wish to set up a trust fund that will pay X to each child upon attainment of
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Answer:
Now we can find the p value taking incount that we are using a bilateral test
Since the p value is lower than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of Americans that they would prefer an American automobile is significantly different from 0.72 and then the claim is correct
Step-by-step explanation:
Information given
n=43 represent the random sample taken
X=38 represent the Americans who they would prefer an American automobile
estimated proportion of Americans that they would prefer an American automobile
is the value that we want to check
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to verify if the percentage of Americans that they would prefer an American automobile today differs from 72%, then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the data given we got:
Now we can find the p value taking incount that we are using a bilateral test
Since the p value is lower than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of Americans that they would prefer an American automobile is significantly different from 0.72 and then the claim is correct