Example:  It is stated that the average cost of books and supplies for a college student is $402 with a population standard deviation of $138.  You would like to test this claim at the level of significance of .05.  Using a simple random sample of 50 college students an average of $451 was computed.    State the null hypothesis State the alternative hypothesis Calculate the test statistic Calculate the p-value What conclusion will you draw? Repeat the hypothesis test using the critical value approach? What sample mean would we need to get to start to reject the null hypothesis?

Question

Example:  It is stated that the average cost of books and supplies for a college student is $402 with a population standard deviation of $138.  You would like to test this claim at the level of significance of .05.  Using a simple random sample of 50 college students an average of $451 was computed. 

 

  • State the null hypothesis
  • State the alternative hypothesis
  • Calculate the test statistic
  • Calculate the p-value
  • What conclusion will you draw?
  • Repeat the hypothesis test using the critical value approach?
  • What sample mean would we need to get to start to reject the null hypothesis?

 

 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Answer true or false to each statement concerning a confidence interval for a population mean. Give ...

A: Confidence interval is given by C.I = Point estimate ± Margin of error Length of confidence interval...

Q: In testing the hypotheses H​0: p​ = 0.65 vs Ha​: p​ =/= 0.65, the test statistic is calculated to be...

A: Given information- Test statistics is, Z = 2.07 Since it is two tailed z-test. Computation of p-val...

Q: ANOVA is a one-tailed test and we are concerned only with those outcomes in which there is more vari...

A: Based on the concept of ANOVA, there is more variance between categories than within categories.

Q: A poll of 1731 U.S. adults found that 56% regularly used Facebook as a news source. Find the margin ...

A: The known values are, Critical values: By using the standard normal table of Z, the critical value ...

Q: The null hypothesis for ANOVA states that a. the variables are independent b. the variables are rela...

A: ANOVA: In one factor ANOVA model only one factor is studied, that is only the effect on one factor i...

Q: Discuss the relationship between the margin of error and the standard error of the mean.

A: Margin of error = ZCritical x Standard error (For z-test)  

Q: Which description best describes a scatterplot?  A scatterplot is a pattern of dots on a grid? A sca...

A: A scatter plot is graphical representation of data points of two variables using Cartesian co ordina...

Q: Attached in the attachment is the datset for this question: Batesian mimicry occurs when a non-toxic...

A: The linear regression equation is Here, ‘y’ represents Proportion of Attacks on Mimics, ‘x’ represen...

Q: Find z such that 64% of the standard normal curve lies between −z and z. (Round your answer to two d...

A: Click to see the answer