A random sample of n = 1,400 observations from a binomial population produced x = 388. (a) If your research hypothesis is that p differs from 0.3, what hypotheses should you test? Ho: p < 0.3 versus H₂: p > 0.3 Ho: P = 0.3 versus H₂: p = 0.3 Ho: P = 0.3 versus H₂: p < 0.3 Ho: P = 0.3 versus H₂: p > 0.3 O Ho: P = 0.3 versus H₂: p = 0.3 (b) Calculate the test statistic and its p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) Z= p-value = Use the p-value to evaluate the statistical significance of the results at the 1% level. Ho is rejected since the p-value is not less than 0.01. O Ho is rejected since the p-value is less than 0.01. O Ho is not rejected since the p-value is not less than 0.01. Ho is not rejected since the p-value is less than 0.01. (c) Do the data provide sufficient evidence to indicate that p is different from 0.3? O Yes, the data provide sufficient evidence to indicate that p is different from 0.3. O No, the data do not provide sufficient evidence to indicate that p is different from 0.3.

MATLAB: An Introduction with Applications
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A random sample of n = 1,400 observations from a binomial population produced x = 388.
(a) If your research hypothesis is that p differs from 0.3, what hypotheses should you test?
Ho: p < 0.3 versus H₂: p > 0.3
Ho: p = 0.3 versus H₂: p = 0.3
Ho: p = 0.3 versus H₂: p < 0.3
Ho: p = 0.3 versus H₂: p > 0.3
Ho: p = 0.3 versus H₂: p = 0.3
(b) Calculate the test statistic and its p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.)
Z =
p-value =
Use the p-value to evaluate the statistical significance of the results at the 1% level.
Ho is rejected since the p-value is not less than 0.01.
Ho is rejected since the p-value is less than 0.01.
Ho is not rejected since the p-value is not less than 0.01.
Ho is not rejected since the p-value is less than 0.01.
(c) Do the data provide sufficient evidence to indicate that p is different from 0.3?
Yes, the data provide sufficient evidence to indicate that p is different from 0.3.
No, the data do not provide sufficient evidence to indicate that p is different from 0.3.
Transcribed Image Text:A random sample of n = 1,400 observations from a binomial population produced x = 388. (a) If your research hypothesis is that p differs from 0.3, what hypotheses should you test? Ho: p < 0.3 versus H₂: p > 0.3 Ho: p = 0.3 versus H₂: p = 0.3 Ho: p = 0.3 versus H₂: p < 0.3 Ho: p = 0.3 versus H₂: p > 0.3 Ho: p = 0.3 versus H₂: p = 0.3 (b) Calculate the test statistic and its p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) Z = p-value = Use the p-value to evaluate the statistical significance of the results at the 1% level. Ho is rejected since the p-value is not less than 0.01. Ho is rejected since the p-value is less than 0.01. Ho is not rejected since the p-value is not less than 0.01. Ho is not rejected since the p-value is less than 0.01. (c) Do the data provide sufficient evidence to indicate that p is different from 0.3? Yes, the data provide sufficient evidence to indicate that p is different from 0.3. No, the data do not provide sufficient evidence to indicate that p is different from 0.3.
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