he executives are interested le of 500 customers yielded nore than 5% of its current tuation.

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Solve 6 a, b,c,d and e please

6. A plan for a traveler's club has been developed by an airline, and the executives are interested
in the proportion of people in the traveler's club. A random sample of 500 customers yielded
40 who would qualify. The company wishes to test the claim that more than 5% of its current
cusomers would qualify for membership.
(a)
State the null and alternative hypotheses for this situation.
(b)
Give the test statistic for this hypothesis test.
(c)
Give the p-value for this test.
(d)
State your conclusion in terms of the problem situation using a 0.05 significance
level.
(e)
Give a significance level at which the decision in part (d) would change.
Transcribed Image Text:6. A plan for a traveler's club has been developed by an airline, and the executives are interested in the proportion of people in the traveler's club. A random sample of 500 customers yielded 40 who would qualify. The company wishes to test the claim that more than 5% of its current cusomers would qualify for membership. (a) State the null and alternative hypotheses for this situation. (b) Give the test statistic for this hypothesis test. (c) Give the p-value for this test. (d) State your conclusion in terms of the problem situation using a 0.05 significance level. (e) Give a significance level at which the decision in part (d) would change.
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