Question

A sample of 104 observations indicated that X1 is 80. A second sample of 141 observations indicated...

A sample of 104 observations indicated that X1 is 80. A second sample of 141 observations indicated that X2 is 106. Conduct a z-test of hypothesis about a difference in population proportions using a 0.01 significance level.

    H0: p1 - p2 = 0
    H1: p1 - p2 ≠ 0

a)State the decision rule.Reject H0 in favour of H1 if the computed value of the statistic is between -2.58 and 2.58.Reject H0 in favour of H1 if the computed value of the statistic is less than 2.58.Reject H0 in favour of H1 if the computed value of the statistic is greater than 2.58.Reject H0 in favour of H1 if the computed value of the statistic is less than -2.33 or greater than 2.33.Reject H0 in favour of H1 if the computed value of the statistic is between -2.33 and 2.33.Reject H0 in favour of H1 if the computed value of the statistic is less than -2.58 or greater than 2.58.None of the above.
b) Compute the pooled proportion.
For full marks your answer should be accurate to at least four decimal places.

Pooled proportion: 


c) What is the value of the test statistic?
For full marks your answer should be accurate to at least three decimal places.

Test statistic: 


d)What is your decision regarding H0?There is sufficient evidence, at the given significance level, to reject H0, and accept H1 or at least there is not enough evidence to reject H1.There is insufficient evidence, at the given significance level, to reject H0.There is insufficient evidence to reject or not reject the null hypothesis.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A sample of 90 observations indicated that X1 is 62. A second sample of 146 observations...
A sample of 90 observations indicated that X1 is 62. A second sample of 146 observations indicated that X2 is 93. Conduct a z-test of hypothesis about a difference in population proportions using a 0.04 significance level.   H0: p1 - p2 ≥ 0   H1: p1 - p2 < 0 a) State the decision rule. Reject H0 in favour of H1 if the computed value of the statistic is less than -2.05 or greater than 2.05. Reject H0 in favour of...
A sample of 5 observations from the population indicated that sample variance s12 is 441. A...
A sample of 5 observations from the population indicated that sample variance s12 is 441. A second sample of 10 observations from the same population indicated that sample variance s22 is 196. Conduct the following test of hypothesis using a 0.05 significance level. H0: σ12 = σ22 H1: σ12 < σ22 You should use the tables in the book for obtaining the F values. For full marks your answer should be accurate to at least two decimal places. a) State...
A sample of 8 observations from the population indicated that sample variance s12 is 784. A...
A sample of 8 observations from the population indicated that sample variance s12 is 784. A second sample of 8 observations from the same population indicated that sample variance s22 is 144. Conduct the following test of hypothesis using a 0.05 significance level.   H0: σ12 = σ22   H1: σ12 < σ22 You should use the tables in the book for obtaining the F values. For full marks your answer should be accurate to at least two decimal places. a) State...
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in Statistics 201 were: Men 82 74 93 88 75 52 93 48 91 56 51 Women 82 79 82 55 89 75 60 63 72 47 Given that the null hypothesis and the alternative hypothesis are:   H0: μm - μw ≤ 5   H1: μm - μw > 5 and using a 0.05 significance level conduct a t-test about a difference in population means: a) What is the correct...
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in Statistics 201 were: Men 62 91 92 77 69 86 64 60 94 Women 51 79 62 88 80 50 87 65 Given that the null hypothesis and the alternative hypothesis are:   H0: μm - μw = -5   H1: μm - μw ≠ -5 and using a 0.05 significance level conduct a t-test about a difference in population means: a) What is the correct decision rule? Reject H0...
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in Statistics 201 were: Men 68 88 57 56 74 76 95 Women 55 76 70 81 58 56 87 86 46 47 Given that the null hypothesis and the alternative hypothesis are:   H0: μm - μw ≤ -1   H1: μm - μw > -1 and using a 0.025 significance level conduct a t-test about a difference in population means: a) What is the correct decision rule? Reject H0...
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in Statistics 201 were: Men 78 69 45 81 72 82 84 46 58 Women 67 49 88 59 80 73 91 61 45 Given that the null hypothesis and the alternative hypothesis are:   H0: μm - μw ≤ 3   H1: μm - μw > 3 and using a 0.025 significance level conduct a t-test about a difference in population means: a) What is the correct decision rule? Reject...
A sample of scores for men and women from an examination in Statistics 201 were: Men...
A sample of scores for men and women from an examination in Statistics 201 were: Men 88 70 87 53 45 58 71 48 61 81 Women 70 77 60 84 74 89 94 50 66 61 Given that the null hypothesis and the alternative hypothesis are:   H0: μm - μw ≤ -2   H1: μm - μw > -2 and using a 0.05 significance level conduct a t-test about a difference in population means: a) What is the correct decision...
A sample of scores for men and women from an examination in Statistics 201 were: boys...
A sample of scores for men and women from an examination in Statistics 201 were: boys 72 50 50 93 90 47 80 58 girls 74 98 45 70 67 56 64 91 72 Given that the null hypothesis and the alternative hypothesis are:   H0: μm - μw ≤ -1   H1: μm - μw > -1 and using a 0.025 significance level conduct a t-test about a difference in population means: a) What is the correct decision rule? Reject H0...
The Longley family owns a large grape vineyard in the Niagara Peninsula. The grapevines must be...
The Longley family owns a large grape vineyard in the Niagara Peninsula. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed: Datif and Censor. To test their effectiveness, 8 long rows were selected. 4 rows were sprayed with Datif and 4 were sprayed with Censor. When the grapes ripened, 350 of the vines treated with Datif were checked for infestation. Likewise, a sample...