Determine the p-value if the alternative hypotheses is Ha:p < 0.25 and the calcu

Question

Determine the p-value if the alternative hypotheses is Ha:p < 0.25 and the calculated value of the test statistic (z) is 1.83. Use the NORMSDIST function and enter your response to four decimal places (i.e. 0.1234).

QUESTION 18

Determine the p-value if the null hypotheses is Ho:p=0.25 and the calculated value of the test statistic (z) is 1.48. Use the NORMSDIST function and enter your response to three decimal places (i.e. 0.123).

QUESTION 19

Assume a quality control inspector has just completed testing the proportion conforming to standards from a random sample and that the calculated value of the test statistic z is -5.6. Based on this information, which of the following conclusions would the inspector make?

Reject the null hypothesis and conclude the proportion conforming to standards is too high

Fail to reject the null hypothesis and conclude the proportion conforming to standards is too high

Reject the null hypothesis and conclude the proportion conforming to standards is too low

Fail to reject the null hypothesis and conclude the proportion conforming to standards is too low

Reject the null hypothesis and conclude the proportion conforming to standards is acceptable

Fail to reject the null hypothesis and conclude the proportion conforming to standards is acceptable

none of these

QUESTION 20

Assume a quality control inspector has just completed testing the proportion conforming to standards from a random sample and that the p-value is 0.001. Based on this information, which of the following conclusions would the inspector make? Assume Ha:p<0.95 and alpha = 0.05.

Fail to reject the null hypothesis and conclude the proportion conforming to standards is too low

Reject the null hypothesis and conclude the proportion conforming to standards is too low

Fail to reject the null hypothesis and conclude the proportion conforming to standards is too high

Reject the null hypothesis and conclude the proportion conforming to standards is acceptable

Fail to reject the null hypothesis and conclude the proportion conforming to standards is acceptable

Reject the null hypothesis and conclude the proportion conforming to standards is too high

none of these

1.

Reject the null hypothesis and conclude the proportion conforming to standards is too high

2.

Fail to reject the null hypothesis and conclude the proportion conforming to standards is too high

3.

Reject the null hypothesis and conclude the proportion conforming to standards is too low

4.

Fail to reject the null hypothesis and conclude the proportion conforming to standards is too low

5.

Reject the null hypothesis and conclude the proportion conforming to standards is acceptable

6.

Fail to reject the null hypothesis and conclude the proportion conforming to standards is acceptable

7.

none of these

Explanation / Answer

Z cal=1.83

The P-Value is 0.0336.

We may accept null hypothesis at alpha=.05

Question 18

If it is 2 sided, The P-Value is 0.1389.

we accept the null hypothesis at .05 alpha

If it is one sided, The P-Value is 0.0694.

we accept the null hypothesis at .05 alpha

Question 19

Test statistic z is -5.6, p value is very small, almost equal to zero

Reject the null hypothesis and conclude the proportion conforming to standards is too low

Question 20

pvalue=.001 which is less than .05 hence inspector will reject the null hypothesis conclude the proportion conforming to standards is too low.

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