b. What is the test statistic? z= _______ (Round the final answer to two decimal
ID: 3326536 • Letter: B
Question
b. What is the test statistic? z= _______
(Round the final answer to two decimal places as needed.)
c. What is the P-value? P-value= ________
(Round to four decimal places as needed.)
d. What is the conclusion?
A. There is sufficient evidence to support the claim.
B. There is not sufficient evidence to support the claim
e. Is the conclusion valid today? Why or why not?
A.Yes, the conclusion is valid
B.No, the conclusion is not valid
C. You can make no decisions about the validity of the conclusion
Score: 0 of 1 pt 14 of 35 (20 complete) HW Score: 48.42%, 16.95 of 35 pts 8.3.17 Question Help * When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that 1329 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5629 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution. ldentify the null hypothesis and alternative hypothesis. OA, Ho:p#0.2 ° C. Ho:p=0.2 OE. Ho : p0.2 H1 : p = 0.2 The test statistic is z- (Round to four decimal places as needed.)Explanation / Answer
Solution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: P > 0.20
Alternative hypothesis: P < 0.20
Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected only if the sample proportion is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.01. The test method, shown in the next section, is a one-sample z-test.
Analyze sample data. Using sample data, we calculate the standard deviation () and compute the z-score test statistic (z).
= sqrt[ P * ( 1 - P ) / n ]
= 0.004713
z = (p - P) /
z = - 1.91
where P is the hypothesized value of population proportion in the null hypothesis, p is the sample proportion, and n is the sample size.
Since we have a one-tailed test, the P-value is the probability that the z-score is less than -1.91. Thus, the P-value = 0.0281
Interpret results. Since the P-value (0.0281) is greater than the significance level (0.01), we have to accept the null hypothesis.
A. There is sufficient evidence to support the claim.
A.Yes, the conclusion is valid.
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