1. You wish to test the following claim (Ha) at a significance level of =0.01.

Ho:=87.3

Ha:87.3

You believe the population is normally distributed and you know the standard deviation is =10.6. You obtain a sample mean of M=85.5 for a sample of size n=28.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =

2.You wish to test the following claim (Ha) at a significance level of =0.002.

Ho:=67.2

Ha:67.2

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=523 with mean M=67.5 and a standard deviation of SD=6.1.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =

3.You wish to test the following claim (Ha) at a significance level of =0.10.

Ho:p=0.25

Ha:p>0.25

You obtain a sample of size n=493 in which there are 142 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.)

The p-value for this test is (assuming Ho is true) the probability of observing...

• at most 142 successful observations
• at least 142 successful observations

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =

4.In 1975, only 7% of the students in the city school district were classified as being learning disabled.A school psychologist suspects that the proportion of learning-disabled children has increased dramatically over the years.To demonstrate this point, a random sample of n=500 students is selected.In this sample there are 52 students who have been identified as learning-disabled.You will use this information to determine if the sample indicates a change in the proportion of learning-disabled students at a 0.05 level of significance.

What is the hypothesized (assumed constant) population proportion for this test?

p=

(Report answer as a decimal accurate to 2 decimal places.Do not report using the percent symbol.)

5.Based on a sample of 35 people, the sample mean GPA was 2.28 with a standard deviation of 0.07

The test statistic is: (to 2 decimals)

6.You obtain a sample of size n=585 in which there are 335 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =

7.You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=67 with mean M=68.4 and a standard deviation of SD=13.2.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value=

8.You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=17 with mean M=73.2 and a standard deviation of SD=7.4.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =

9.Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.

A sample of 56 stocks traded on the NYSE that day showed that 19 went up.

You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of =0.002.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =

11.You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.88. You use a significance level of =0.10.

H0:p=0.88

H1:p0.88

You obtain a sample of size n=279 in which there are 254 successes.

What is the test statistic for this sample? (Report three decimal places.)

test statistic =

What is the p-value for this sample? (Report four decimal places.)

12.Based on a sample of 200 people, 56% owned cats

The test statistic is: ____ (to 2 decimals)

The p-value is: _____(to 2 decimals)

p-value =