In a random sample of 62 professional actors, it was found that 40 were extroverts. Please find the point estimate, 95% confiden
1 answer:
The point Estimate is 0.645 , the confidence interval is (0.525 ,0.764).
<h3>What is Point Estimate ?</h3>The point estimate is the proportion of success in the sample.
From the data given
p = 40/62
p = 0.645
The point Estimate is 0.645
(b) Confidence interval for true proportion is
For 95 % Z = 1.96
p =0.645
1-p = 0.355
putting the values
(0.525 , 0.764)
Lower Limit = 0.525
Upper Limit = 0.764
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I don't have popsicle but I'm sure you will melt by this answer.
Hope this helps. (please don't melt)
r3t40
Answer:
The degrees of freedom are given by
The p value would be given by this probability:
Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3
Step-by-step explanation:
Information given
represent the sample mean
represent the sample deviation
sample size
represent the value to verify
represent the significance level for the hypothesis test.
t would represent the statistic
represent the p value
System of hypothesis to check
We want to check if the true mean is less than the normal value of 9.02 cm^3, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the info given we got:
The degrees of freedom are given by
The p value would be given by this probability:
Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3