Show work and formula please You wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:p≥0.75Ho:p≥0.75 Ha:p<0.75Ha:p<0.75 You obtain a sample of size n=412n=412 in which there are 304 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = _________ What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = ___________
Show work and formula please
You wish to test the following claim (HaHa) at a significance level of α=0.05
Ho:p≥0.75Ho:p≥0.75
Ha:p<0.75Ha:p<0.75
You obtain a sample of size n=412n=412 in which there are 304 successful observations. For this test, you should NOT use the continuity correction, and you should use the
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = _________
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = ___________
The test hypotheses are given below,
Null hypothesis: H0:p ≥0.75
Alternative hypothesis: HA:p <0.75
The type of test statistic is one proportion Z test.
It is given that level of significance α=0.05.
Test statistic:
Here, n =412 and x =304. Therefore, the sample proportion p-cap is 304/ 412 =0.7379. The hypothetical proportion, p0 is 0.75. The test statistic for hypothesis test for proportion is given by:
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