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I am having problems calculating both questions a & b. please assist. The recent default rate on all student loans is 6.9 percent. In a

I am having problems calculating both questions a & b. please assist.

The recent default rate on all student loans is 6.9 percent. In a recent random sample of 316 loans at private universities, there were 20 defaults.

Does this sample show sufficient evidence that the private university loan default rate is below the rate for all universities, using a left-tailed test at?= .010?

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Confidence Level Confidence Level .80 .90 .95 .98 .99 .80 .90 .95 .98 .99 Significance Level for Two-Tailed Test Significance Level for Two-Tailed Test .20 .10 .05 .02 .01 20 10 .05 .02 .01 Significance Level for One-Tailed Test Significance Level for One-Tailed Test d.f. .10 .05 .025 .01 .005 d.f. .10 .05 .025 .01 .005 1 3.078 6.314 12.706 31.821 63.657 36 1.306 1.688 2.028 2.434 2.719 2 1.886 2.920 4.303 6.965 9.925 37 1.305 1.687 2.026 2.431 2.715 3 1.638 2.353 3.182 4.541 5.841 38 1.304 1.686 2.024 2.429 2.712 4 1.533 2.132 2.776 3.747 4.604 39 1.304 1.685 2.023 2.426 2.708 5 1.476 2.015 2.571 3.365 4.032 40 1.303 1.684 2.021 2.423 2.704 6 1.440 1.943 2.447 3.143 3.707 41 1.303 1.683 2.020 2.421 2.701 7 1.415 1.895 2.365 2.998 3.499 42 1.302 1.682 2.018 2.418 2.698 8 1.397 1.860 2.306 2.896 3.355 43 1.302 1.681 2.017 2.416 2.695 9 1.383 1.833 2.262 2.821 3.250 44 1.301 1.680 2.015 2.414 2.692 10 1.372 1.812 2.228 2.764 3.169 45 1.301 1.679 2.014 2.412 2.690(a-2) Calculate the zscore for the sample data using a left-tailed test at a = .01. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) anlc (a-3) Should the null hypothesis be rejected? 0 Yes No (b) Calculate the pvalue. (Round your answer to 4 decimal places.) pvalue

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