Question

The worldwide market share for a web browser was 20.5% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser. Complete parts (a) through (d) below. a. At the 0.05 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5%? Determine the null and alternative hypotheses. A. H0: piequals0.205; H1: pinot equals0.205 B. H0: pinot equals0.205; H1: piequals0.205 C. H0: pigreater than or equals0.205; H1: piless than0.205 D. H0: piless than or equals0.205; H1: pigreater than0.205 Calculate the test statistic. Upper Z Subscript STATequals nothing (Type an integer or a decimal. Round to two decimal places as needed.) What is the p-value? The p-value is nothing. (Type an integer or a decimal. Round to three decimal places as needed.) State the conclusion of the test. ▼ Reject Do not reject the null hypothesis. There is ▼ insufficient sufficient evidence to conclude that the market share at the university is ▼ less than not equal to at least equal to at most greater than the worldwide market share of 20.5%. b. Suppose that a sample of nequals400 students at the same university (instead of nequals200) determines that 25% of the sample use the web browser. At the 0.05 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5%? Calculate the test statistic for the second sample. Upper Z Subscript STATequals nothing (Type an integer or a decimal. Round to two decimal places as needed.) What is the p-value for the second sample? The p-value is nothing. (Type an integer or a decimal. Round to three decimal places as needed.) State the conclusion of the test using this second sample at the 0.05 level of significance. ▼ Reject Do not reject the null hypothesis. There is ▼ insufficient sufficient evidence to conclude that the market share at the university is ▼ greater than at most at least less than not equal to equal to the worldwide market share of 20.5%. c. Compare the results of (a) and (b) and discuss the effect that sample size has on the outcome, and, in general, in hypothesis testing. Choose the correct answer below. A. Increasing the sample size had a major effect on not being able to reject the null hypothesis. B. Increasing the sample size had a major effect on being able to reject the null hypothesis. C. Increasing the sample size did not affect not being able to reject the null hypothesis. D. Increasing the sample size did not affect being able to reject the null hypothesis

Answer #1

C) Increasing the sample size had a major effect on being able to reject the null hypothesis

OPTION B

The worldwide market share for a web browser was 20.5% in a
recent month. Suppose that a sample of 200200 random students at a
certain university finds that 5050 use the browser.
Suppose that a sample of n=800 students at the same university
(instead of n=200) determines that 25% of the sample use the web
browser. At the 0.05 level of significance, is there evidence that
the market share for the web browser at the university is greater
than the...

Suppose that a sample of n=400 students at the same university
(instead of n=200) determines that 25% of the sample use the web
browser. At the .05 level of significance, is there evidence that
the market share for the web browser at the university is greater
than the worldwide market share of 20.5%?
a. Calculate the test statistic for the second sample.
b. What is the p-value?
c. State the conclusion of the test. _____ the null hypothesis.
There is...

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...

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 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...

2. Consider a sample of 46 football games, where 27 of them
were won by the home team. Use a 0.01
significance level to test the claim that the probability that
the home team wins is greater than one-half.
____________________________________________________
Identify the null and alternative hypotheses for this test.
Choose the correct answer below.
A.
H0:
p=0.5
H1:
p>0.5
B.
H0:
p>0.5
H1:
p=0.5
C.
H0:
p=0.5
H1:
p≠0.5
D.
H0:
p=0.5
H1:
p<
___________________________________
Identify the test statistic for...

Test the following claim. Identify the null hypothesis,
alternative hypothesis, test statistic, critical value(s),
conclusion about the null hypothesis, and final conclusion that
addresses the original claim. A manual states that in order to be
a hit, a song must be no longer than three minutes and thirty
seconds (or 210 seconds). A simple random sample of 50 current
hit songs results in a mean length of 250.0 sec. Assume the
population standard deviation of song lengths is 54.5 sec....

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 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
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...

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