please solve and highlight answers
a) Given that,
H0 : π ≤ 0.50 versus H1 : π > 0.50
x = 48, n = 81
sample proportion = 48/81 = 0.5926
Test statistic is,
=> Test statistic = 1.667
p-value = P(Z > 1.667) = 0.0478
=> p-value = 0.0478
b) Given that,
H0 : π = 0.30 versus H1 : π ≠ 0.30
x = 18, n = 39
sample proportion = 18/39 = 0.4615
Test statistic is,
=> Test statistic = 2.201
p-value = 2 * P(Z > 2.201) = 2 * 0.0139 = 0.0278
=> p-value = 0.0278
c) Given that,
H0 : π ≥ 0.10 versus H1 : π < 0.10
x = 6, n = 109
sample proportion = 6/109 = 0.0550
Test statistic is,
=> Test statistic = -1.564
p-value = P(Z < -1.564) = 0.0589
=> p-value = 0.0589
please solve and highlight answers Calculate the test statistic and p-value for each sample. Use Appendix...
Calculate the test statistic and p-value for each sample. Use Appendix C-2 to calculate the p-value. (Negative values should be indicated by a minus sign. Round your test statistic to 2 decimal places and p-value to 4 decimal places.) Test Statistic p-value (a) H0: ππ ≤ .60 versus H1: ππ > .60, α = .05, x = 56, n = 80 (b) H0: ππ = .30 versus H1: ππ ≠ .30, α = .05, x = 18, n...
Calculate the test statistic and p-value for each sample.(Round your test statistics to 2 decimal places and p-values to 4 decimal places.) Note: xnumber of successes Test Statistic p-value (a) H0: p=0.60 versus Ha: p > 0.80, α=.05, x=56, n = 80 (c) Ho, p-0.10 versus HA: p 0.10, a-.01, x-3. n-100
5 CH 9,IU) 1 Saveu Help Save & Exit Submit Calculate the test statistic and p-value for each sample. Use Appendix C-2 to calculate the p-value. (Negative values should be indicated by a minus sign. Round your test statistic to 2 decimal places and p-value to 4 decimal places.) Test Statistic p-value (a) HO: 13.60 versus H1: >.60, a = .05, x = 56, n = 80 (b) H0: = .30 versus 11: 17.30, a = .05, x = 18,...
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject He when the level of significance is (a) a = 0.01, (b) a = 0.05, and (C) a = 0.10. P = 0.0695 (a) Do you reject or fail to reject He at the 0.01 level of significance? O A. Fail to reject H, because the P-value, 0.0695, is greater than a = 0.01. O B. Fail to reject H, because the P-value, 0.0695,...
In order to conduct a hypothesis test for the population mean, a random sample of 24 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 4.8 and 0.8, respectively.(You may find it useful to reference the appropriate table: z table or t table) Hot μ 4.5 against HA: μ > 4.5 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and...
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Using Appendix C-1 or Appendix C-2 find the p-value for each test statistic. (Round your answers to 4 decimal places.) Test Statistic z = +1.34 p-value (a) Right-tailed test (b) Left-tailed test (c) Two-tailed test z-_2.07 z =-1.69
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H when the level of significance is (a) a= 0.01, (b) a 0.05, and (c) a0.10. P 0.0749 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject H because the P-value, 0.0749, is greater than a=0.01 O B. Fail to reject Ho because the P-value, 0.0749, is less than a = 0.01 O C. Reject...
In order to conduct a hypothesis test for the population mean, a random sample of 14 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 77 and 2.0, respectively. (You may find it useful to reference the appropriate table: z table or t table). =o: * $ 6.6 against N' > 6.6 2-1. Calculate the value of the test statistic (Round all intermediate calculations to at least 4 decimal places...
Test the hypothesis using the P-value approach. Be sure to verily the requirements of the test Ho p-0.3 versus H P>0.3 n-200, x=80; α:01 Calculate the test statistic, zo #0 (Round to two decimal places as needed) Identify the P-value P-value (Round to three decimal places as needed) Choose the correct result of the hypothesis test for the Pvalue approach belovw ty O A. Reject the nul hypothesis, because the P-value is greater than α O B. Do not reject...