The piston diameter of a certain hand pump is 0.70.7 inch. The manager determines that the diameters are normally distributed, with a mean of 0.70.7 inch and a standard deviation of 0.0040.004 inch. After recalibrating the production machine, the manager randomly selects 2828 pistons and determines that the standard deviation is 0.00360.0036 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the alpha equals 0.05α=0.05 level of significance? Question content area bottom Part 1 What are the correct hypotheses for this test? The null hypothesis is H Subscript 0: sigmaσ equals= 0.004. The alternative hypothesis is H Subscript 1: sigmaσ less than< 0.004. Part 2 Calculate the value of the test statistic. chi Subscript Superscript 2χ2 equals=21.87021.870 (Round to three decimal places as needed.) Part 3 Use technology to determine the P-value for the test statistic. The P-value is enter your response here. (Round to three decimal places as needed.)