A study of 9 worldwide financial institutions showed the correlation between their assets and pretax profit to be 0.73.    State the decision rule for 0.010 significance level: H0: ρ ≤ 0; H1: ρ > 0. (Round your answer to 3 decimal places.)     Compute the value of the test statistic. (Round your answer to 2 decimal places.)     Can we conclude that the correlation in the population is greater than zero? Use the 0.010 significance level.

You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 64 32 55 30 72 36 34 30 31 18 16 29 21 22 32 18 46 24 46 31   Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient    r =  Find the p-value   p-value =    The p-value is Greater than αα Less than (or equal to) αα   The p-value leads to a decision to Do Not Reject Ho Reject Ho Accept Ho   The conclusion is  There is a significant linear correlation between driver age and number of driver deaths. There is a significant negative linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths. There is…

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.46. Your sample data produce the test statistic z=1.883. Find the p-value accurate to 4 decimal places.

For a special pre–New Year’s Eve show, a radio station personality has invited a small panel of prominent local citizens to help demonstrate to listeners the adverse effect of alcohol on reaction time. The reaction times (in seconds) before and after consuming four drinks are in data below. At the 0.005 level, has the program host made his point? Identify and interpret the p-value for the test.   Data:   Subject Before After 1 0.32 0.39 2 0.39 0.44 3 0.36 0.49 4 0.41 0.53 5 0.37 0.46 6 0.42 0.52 7 0.41 0.52 8 0.43 0.46 9 0.39 0.55 10 0.41 0.52 11 0.35 0.45 12 0.42 0.41 13 0.32 0.54 14 0.39 0.46 15 0.41 0.53 16 0.33 0.54 17 0.43 0.46 18 0.42 0.43 19 0.41 0.52 20 0.35 0.52 21 0.39 0.41 22 0.39 0.44 23 0.32 0.50 24 0.33 0.53 25 0.31 0.45 26 0.35 0.45 27 0.31 0.45 28 0.32 0.48 29 0.38 0.54 30 0.37 0.46 31 0.39 0.49 32 0.30 0.51 33 0.40 0.49 34 0.41 0.50 35 0.41 0.53 36 0.35 0.47 37 0.37 0.51 38 0.41 0.46

The data below is how much money an ice cream store makes and what the max temperature was at that day.  Test the claim that there is no correlation between the two.  Use a significance of .05. Temperature    Dollars made98    425686    523595    5125103    489662    358677    159743    158658    8465108    462592    156383    256775    523588    354891    756187    515684    845873    421582    652595    5846105    3548101    425686    625392    425645    651578    753261    548658    215388    465892    751181    625171    584864    546874    485691    458790    651582    712581    658493    782482    584891    6528

You wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 22 20 53 25 19 30 35 23 71 26 36 21 48 25 19 28   Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient    r =  Find the p-value   p-value =    The p-value is Greater than αα Less than (or equal to) αα   The p-value leads to a decision to Accept Ho Do Not Reject Ho Reject Ho   The conclusion is  There is a significant linear correlation between driver age and number of driver deaths. There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths.…

what are the critical values r =?

A magazine tested paints. The table below shows the overall quality score and cost in dollars per gallon. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of alpha equals 0.05. Based on these​ results, do you get better quality paint by paying​ more?   a. Calculate the test statistic. r s equals  (Round to three decimal places as​ needed.)     b. Find the critical values. r s equals plus or minus ​(Round to three decimal places as​ needed.)

A data set contains information on the grams of fat and number of calories in 25 different fast foods. The correlation coefficient between fat content and calories is determined to be 0.62. Calculate the p-value for the test of significance.

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.74. Your sample data produce the test statistic z=2.133. Find the p-value accurate to 4 decimal places.